Hypothesis Testing

1) On the Hypothesis Testing Worksheet, all you need to do is write the null and alternative hypotheses for each situation.

2) The null hypothesis will always be “=”.

3) You can use either “≠” or “not =” for “does not equal”. Greater than and less than is “>” or “<”, respectively.

4) The alternative hypothesis wil be “not =” (2 tailed test) of “>” or “<” (one tailed test).

5) When determining what the null and alternative hypotheses are, realize that the alternative is the new information, what you are trying to prove.  The null is what has been believed to be true up until now.

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1) A bowler who has averaged 196 pins in the past year is asked to experiment with a ball made of a new kind of material. He rolls several games with the new ball. Has the new ball improved his game?

2) An advertisement claims that chewing NoCav gum reduces cavities. To test the claim, you conduct a study in which participants who chew the gum are compared to the national average of 3 cavities found per year.

3) In a speech to the Chamber of Commerce, a city councilman claims that in his city less than 15% of the adult male population are unemployed. An opponent in the upcoming election wants to test the councilman’s claim.

4) The councilman is starting to get worried about the upcoming election. He has enjoyed 63% support for several years, but the political climate has been changing. He wants to know if his support has changed.

5) A production process is considered to be under control if the machine parts it makes have a mean length of 35.50 mm with a standard deviation of 0.45 mm. Whether or not the process is under control is decided each morning by a quality control engineer who bases his decision on a random sample of size 36. Should he ask for an adjustment of the machine on a day when he obtains a mean of 35.62 mm?

6)  Jim, the owner of Jim’s Grocery, knows that Plain Chips have always outsold Spicy chips. However, sales of Spicy chips have been increasing. Jim wants to determine if the average weekly sales of Spicy chips have indeed surpassed that of Plain chips.

7) Jim now wants to know if Plain and Spicy chips have the same percentage of defective product (i.e. underfilled bags, torn bags, wrong flavor in the bags, etc.).

8) The Great Vehicle Co. just introduced New SUV, claiming it can pull more weight than Old SUV. After testing 150 vehicles of each model, Old SUV had a mean pull weight of 5032 pounds with a standard deviation of 72 pounds. New SUV had a mean pull weight of 5462 pounds with a standard deviation of 154 pounds. Is the claim valid at a .05 level of significance?

9) The Great Vehicle Co. has a competitor, Amazing Autos, that claims people who purchase its competing vehicle, the Sport Off Road Vehicle (SORV), have higher customer satisfaction than New SUV. Out of 736 people who purchased the SORV last month, 534 said they were satisfied. Out of 521 people who purchased New SUV last month, 375 said they were satisfied. Is there a higher percentage of people who are satisfied with the SORV than with New SUV?

10) The Great Vehicle Company wants to counter Amazing Autos’s claim by making its own claim that New SUV has a lower percentage of defective vehicles. The research team tested 536 vehicles of each model and found that SORV had 53 defective units, while New SUV had only 51 defective units.

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hypothesis testing

Assignment 2: Discussion

You are a data analyst with John and Sons Company. The company has a large number of manufacturing plants in the United States and overseas. The company plans to open a new manufacturing plant. It has to decide whether to open this plant in the United States or overseas.

What is an appropriate null hypothesis to compare the quality of the product manufactured in the overseas plants and the U.S. plants? Why? How would you choose an appropriate level of significance for your statistical test? What are the possible outcomes and limitations of your statistical test?

 

By Saturday, March 16, 2013, post to the Discussion Area the requested information and analysis. 

 

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hypothesis testing

Hypothesis Testing

3. The director of admissions at the University of Maryland, University College is concerned about the high cost of textbooks for the students each semester. A sample of 25 students enrolled in the university indicates that X (bar) = $315.4 and s = $43.20.

a. Using the 0.10 level of significance, is there evidence that the population mean is above $300?

b. b. What is your answer in (a) if s = $75 and the 0.05 level of significance is used?

c. c. What is your answer in (a) if X (bar) = $305.11 and s = $43.20?

d. d. Based on the information in part (a), what decision should the director make about the books used for the courses if the goal is to keep the cost below $300?

4. A large candy manufacturer is concerned that the mean weight of their bag of Gooey Sour Worms is not greater than 7.3 ounces. It can be assumed that the population standard deviation is .5 ounces based on past experience. A sample of 169 gummy worms is selected and the sample mean is 7.35 ounces. Using a level of significance of .10, is there evidence that the population mean weight of the candy bars is greater than 7.3? Fully explain your answer.

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Hypothesis Testing

Please help wiht the below question. If pooissible please do in excel using excel formulas when possible.
The MBA department is concerned that dual degree students may be receiving lower grades than the regular MBA students. Two independent random samples have been selected 350 observations from population 1 (dual degree students) and 310 from population 2 (MBA students). The sample means obtained are X1(bar)=84 and X2(bar)=87. It is known from previous studies that the population variances are 4.6 and 5.0 respectively. Using a level of significance of .05, is there evidence that the dual degree students are receiving lower grades? Fully explain your answer.

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Hypothesis Testing

Researchers concerned if doctors were consistently adjusting dosages for weight of elderly patients studied 2000 prescriptions. They found that for 600 of the prescriptions, the doctors failed to adjust the dosages. In the past researcher found that 33% of doctors were consistently adjusting dosag…

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Hypothesis Testing

A new breakfast cereal Frosted Corn is test marketed for one month. The total sales for the first 9 quarters indicate an average of $8350, with a standard deviation of $1840. Based on a cost-profit analysis, production of Frosted Corn will be discontinued if the sample average of the first 9 quarter…

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Hypothesis Testing

1) Write down the steps of a hypothesis testing for the research question: “Whether the mean body-weight in this population is 150 lb?” Use SPSS to obtain the value of the test statistic and p-value.
2) Use SPSS to calculate a 90%, a 95% and a 99% CI for the true mean body-weight in this population. How do you interpret the findings?

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Hypothesis Testing

Explain the 5 steps of hypothesis testing as it relates to the hypothesis that Fatherless male children between the ages of 15-24 of a higher suicide rate than male children with a father present in the home.
For this example, the estimated average for male suicide rates in fatherless homes is 20.5%. According to the data set, the null hypothesis is that there is no difference between fatherless male children and male children who have a father in the home. The null hypothesis seeks to prove that there is no level of significance in male suicide rates whether a father is present or not.

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Hypothesis Testing

The Graduate Nursing department is concerned that dual degree students may be receiving higher grades than the regular Nursing students. Two independent random samples have been selected 650 observations from population 1 (dual degree students) and 610 from population 2 (regular students). The sampl…

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–Hypothesis Testing

A decade-old study found that the proportion of high school seniors who felt that “getting rich” was an important personal goal was . Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State …

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Hypothesis testing

Joan has just moved into a new apartment and wants to purchase a new couch. To determine if there is a difference between the average prices of couches at two different stores, she collects the following data. Test the hypothesis that there is no difference in the average price. Use a = 0.05.

Store 1…

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Hypothesis testing

using AIU’S responses from the AIU data set, complete the following requirements in the form of a 2- page report. Perform a two- tailed hypothesis test on both the intrinsic and the extrinsic variables data using a .05 signifiance level. begin by creating a null and a alternate statement. use microsoft excel to process your data. copy and paste the results of the output to your report in microsoft word.

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hypothesis testing

9 2 When practicing the conduct of hypothesis testing using exercises from a textbook, it is easy to forget how hypothesis testing is actually applied in the business world. In Section 9.6, “Potential Hypothesis-Testing Pitfalls and Ethical Issues,” the authors reinforce the notion that the likeliho…

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hypothesis testing

9 -1 According to your textbook, the Null Hypothesis is rejected when the sample evidence suggests that it is more likely that the Alternative, rather than the Null, is true. However, when there is insufficient evidence to reject the Null Hypothesis, this does not suggest that the Null must be &ldqu…

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hypothesis testing

Bayes’ Theorem can be used to calculate the likelihood of many relevant real-world events, including the outcomes of equipment testing. For example, commercial airlines use sophisticated tests to predict failure in plane structures. If the testing equipment is calibrated for high sensitivity, it may…

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–hypothesis testing

Refer to Example 4.10, “Using Bayes’ Theorem in a medical diagnosis problem,” (p. 167). It is demonstrated that the probability a medical test is “positive” given that disease is truly present is 0.90 (90%). It is also demonstrated that the probability disease is really present given a “positive” te…

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Hypothesis Testing:

The US department of education reports that 46% of full-time college students are employed while attending college. A recent survey of 600 full-time students at CCP found that 305 were employed. At a 5% level of significance, test to see if there is sufficient evidence that the proportion of full-t…

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–hypothesis testing

the Chandler department store accepts only its own credit cards. Among 36 randomly selected card holders the mean amount owed were $175.37. Among all customers the standard deviation was $84.77. Use a .05 significance level to test the claim that the mean amount charged by all customers is grater…

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Hypothesis Testing

Suppose that we statistically test the following hypotheses, where µ is defined as the number of gallons of gasoline purchased by US consumers per week.

Null: µ = 12
Alternative: µ > 12

Suppose that the p-value for the statistical test is 0.25 and, therefore, we conclude that we sh…

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Hypothesis Testing

The table gives the number of minutes it took fire mechanics to assemble a piece of machinery in the morning and afternoon.
Morning: 14 9 8 10 11
Afternoon: 12 11 10 13 9
a) Is there a significant correlation between morning and afternoon assembly time? Test on alpha=0.05 level.
b) Find the least “squared prediction equation” for this data.
c) What is the predicted afternoon assembly time for a 12 minute morning assembly time?
d) Use the Alternate Regression Version of Line to verify part b.

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hypothesis testing

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?

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Hypothesis testing

An antismoking campaign is being evaluated prior to its implementation in high schools across the state. A pilot study involving volunteers who smoke is conducted. Each volunteer reports the number of cigarettes smoked the day before enrolling in the study, and each then is subjected to the anti smoking campaign, which involves educational material, support groups, and a formal program designed to reduce or quit smoking. After 4 weeks, each volunteer again reports the number of cigarettes smoked the day before. Based on the following data, does it appear that the program is effective?
At Enrollment 21, 15, 8, 6, 12, 20 and After Campaign 12 ,10,10, 7, 10, 20.

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hypothesis testing

Historically the average age of European soccer players is reported as 26 years with a standard deviation of 4 years. A random sample of 81 European professional soccer players has an average age of 27 years. We would like to decide if there is enough evidence to establish that average age of Europe…

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Hypothesis testing

Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position…

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hypothesis testing

Men spend an average of 29 minutes per day on weekends and holidays exercising and playing sports. They spend an average of 23 minutes per day reading. A random sample of 25 men resulted in a mean of 35 minutes exercising with a standard deviation of 6.9 minutes and an average of 20.5 minutes readin…

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hypothesis testing

It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates. A random sample of 500 enrolled college students in a particular state revealed that 420 of them were undergraduates. Is there sufficient evidence to conclude that the proportion dif…

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hypothesis testing

One of the issues facing organizations is increasing diversity throughout the organization. One of the ways to evaluate an organization’s success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the per…

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hypothesis testing

A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Find the for a test of the claim that the proportion with lawn mowers in Omaha is higher than 65%. Among 4…

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hypothesis testing

The Flying fish Trucking Company claims that the average weight of a fully loaded moving van is 12,000 lbs. The highway patrol decides to check this claim. A random sample of 30 Smoky Bear moving vans shows that the average weight is 12,100 lbs, with a standard deviation of 800 lbs. Construct a hypo…

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Hypothesis Testing

The Department of Transportation claims that only 34% of the handicapped parking permits in use are being used by somebody other than the person to whom the permit was issued. An advocacy group wishes to show that there are actually a higher percentage of people abusing the permits. A sample of 1700…

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–Hypothesis Testing

A Gallup poll of 547 adult Americans employed full or part-time, conducted August 13-16, 2007, asked, “How much total in minutes do you spend commuting to and from work on a typical day?” Survey results indicate that the average was 45.6 minutes with a standard deviation of 31.4 minutes.

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hypothesis testing

A consumer advocacy group believes that a light bulb manufacturer’s claim that their light bulbs last at least 125.2 hours is false. To see whether this is true, they take a random sampling of 25 light bulbs and calculate the sample mean life-span of the light bulbs. They find that the average…

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hypothesis testing

A worker at the Ford Company Assembly Plant takes, on average, 7 minutes to complete a certain task. An efficiency expert suggests a slightly different way of doing this task and decides to take a random sample to see if there is any time savings. The null and alternative hypotheses are then:
H0: : &…

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Hypothesis testing

In recent years, the town of Newport experienced an arrest rate of 25% for robberies. The new sheriff compiles records showing that amoung the 30 recent robberies, the arrest rate is 30% so she claims that her arrest rate is greater than 25% rate in the past. Test he claim that the arrest rate is…

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Hypothesis testing

A sample of 20 yields a mean 32.4. Test the two sided hypothesis that the sample drawn from a population with a mean of 35 for the following cases. (a) if a variance of the population is 33; and (b) if the variance of the population is unknown, but the sample variance is 33, Use a level of significa…

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hypothesis testing

73, A manufacturing company produces electrical insulators. if the insulators break when in use , a short circuit is likely to occur. to test the strength of the insulators, destructive testing is carried out to determine how much force is required to break the insulators. force is measured by obser…

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Hypothesis Testing

Height and Gender. You have obtained measurements of height in inches of 29 female and 81 male students (HEIGHT) at your university. A regression of the height on a constant and a dummy variable (FEMALE), which takes the value of one for females and is zero otherwise, yields the following resul…

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Hypothesis Testing

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,7…

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Hypothesis Testing

level of education for 585 people in a sample. There are 5 possible levels of education, which are referred to with a 1, 2, 3, 4, and 5. Compare the distribution of level of education in this sample to a distribution from a sample taken 10 years ago.

Education Level 1 2 3 4 5
Frequency 15% 20% 25% 25%…

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–Hypothesis Testing

A large hat manufacturer, Renaissance Fair Clothiers, is concerned that the mean weight of their signature Robin Hood hat is not greater than 2.75 pounds. It can be assumed that the population standard deviation is .52 pounds based on past experience. A sample of 395 hats is selected and the sampl…

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Hypothesis Testing

The director of admissions at the University of Maryland, University College is concerned about the high cost of textbooks for the students each semester. A sample of 24 students enrolled in the university indicates that X (bar) = $295.75 and s = $72.20.

Using the 0.05 level of significance, is there…

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Hypothesis Testing

Hypothesis Testing

  • Introduction: Questions (pdf), Solutions (pdf).
  • Means from a single population: Questions (pdf), Solutions (pdf).
  • Proportions from a single population: Questions (pdf), Solutions (pdf).
  • Multinomial proportions from a single sample: Questions (pdf), Solutions (pdf).
  • Two Means using independent samples: Questions (pdf), Solutions (pdf).
  • Two Means using paired samples: Questions (pdf), Solutions (pdf).
  • Two Proportions using independent samples: Questions (pdf), Solutions (pdf).
  • Independence or homogeneity of proportions (same as chi-square tests): Questions (pdf), Solutions (pdf),

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hypothesis testing

TEST #1

Perform the following two-tailed hypothesis test, using a .05 significance
level:

  • Intrinsic by Gender
  • State the null and an alternate statement for the test
  • Use Microsoft Excel (Data Analysis Tools) to process your data and run the
    appropriate test. Copy and paste the results of the output to your report in
    Microsoft Word.
  • Identify the significance level, the test statistic, and the critical
    value.
  • State whether you are rejecting or failing to reject the null hypothesis
    statement.
  • Explain how the results could be used by the manager of the company.

TEST #2

Perform the following two-tailed hypothesis test, using a .05 significance
level:

  • Extrinsic variable by Position Type
  • State the null and an alternate statement for the test
  • Use Microsoft Excel (Data Analysis Tools) to process your data and run the
    appropriate test.
  • Copy and paste the results of the output to your report in Microsoft
    Word.
  • Identify the significance level, the test statistic, and the critical
    value.
  • State whether you are rejecting or failing to reject the null hypothesis
    statement.
  • Explain how the results could be used by the manager of the company.

GENERAL ANALYSIS (Research Required)

Using your textbook or other appropriate college-level resources:

  • Explain when to use a t-test and when to use a z-test. Explore the
    differences.
  • Discuss why samples are used instead of populations.

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