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#### Question1)a milk company has four machines that fill gallon jugs of milk

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Question1)a milk company has four machines that fill gallon jugs of milk. The quality control manager is interested in determining whether the average fill for these machines is the same.  The following data represent random samples of fill measures (in quarts) for 19 jugs of milk filled by the different machines.  Using a significance level of 1%, develop an ANOVA to determine if the average fill for these machines is the same.

 Machine 1 Machine 2 Machine 3 Machine 4 7 9 9 10 8 10 9 10 9 11 10 11 10 12 11 12

The observed value of the F statistic is ____  (use two decimals)

• Question 2

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.  She wonders whether acceptance is influenced by children in the household.  Her staff prepared the following contingency table from a random sample of 100 households.

 Children in Household Pre-teenagers teenagers none Preferred Pump 30 20 10 Package Tube 10 10 20

Using a significance level of 0.01, the appropriate decision is ______________.

 Answers: reject the null hypothesis and conclude there is no evidence of association between the two variables do not reject the null hypothesis and conclude there is no evidence of association between the two variables reject the null hypothesis and conclude there is evidence of association between the two variables do not reject the null hypothesis and conclude there is evidence of association between the two variables

• Question 3

A steel company is considering the relocation of one of its manufacturing plants.  The company's executives have selected 4 areas that they believe are suitable locations.  However they want to determine if the average wages are significantly different in any of the locations, since this could have major impact on the cost of production.  A survey of hourly wages of 8 similar workers in each of the 4 areas is performed.

What is the error degrees of freedom for the ANOVA test in this study?

• Question 4

A study of the career plans of young women and men sent questionnaires to all members of the senior class in the College of Business of a local university.  One question asked which major within the business program the student had chosen.  The data obtained from the students who responded is shown below.

 Major Gender Male Female Accounting 68 56 Administration 91 40 Economics 5 6 Finance 61 59

The expected number of male students majoring in Economics is _______(use 2 decimals)

• Question 5

Cindy Ho, VP of Finance at Discrete Components, Inc. (DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%) by randomly assigning five customers to each sales discount rate. An analysis of Cindy's data produced the following ANOVA table.

 Source of Variation SS df MS F Treatment 835.3 3 278.43 3.43 Error 1299.6 16 81.23 Total 2134.9 19

Based on these results, using a 1% significance level ________

 Answers: There is sufficient evidence to conclude that credit sales increase depending on the discount levels offered. There is insufficient evidence to conclude that credit sales increase depending on the discount levels offered. There is sufficient evidence to conclude that the average collection period on credit sales is not the same for the different discount levels. There is insufficient evidence to conclude that the average collection period on credit sales is not the same for the different discount levels.

• Question 6

Sam Hill, Director of Media Research, is analyzing subscribers to the Life West of the Saline magazine. He wonders whether subscriptions are influenced by the head of household's employment classification. His staff prepared the following contingency table from a random sample of 150 households.

 Head of Household Classification Clerical Managerial Professional Subscribes Yes 25 30 15 No 25 25 30

The observed value of the Chi Square statistic is ___________________  (use two decimals)

• Question 7

A physical traiiner has 4 workout plans that he recommends for his clients.  The workouts have been designed so that the average maximum heart rate achieved is the same for each workout. He randomly selects and assign 5 people to each of the 4 workout plans.  During each workout he measures the maximum heart rate in beats per minute and obtains the following results.

 Source of Variation SS df MS F Treatment 412.3 Error 300.89 Total

The mean square for groups is _______   (use two decimal places)

• Question 8

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High frequency EM radiation is thought to be a cause of cancer; the lower frequencies associated with household current are generally assumed to be harmless. To investigate this, researchers visited the addresses of children in the Denver area who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the building as either a high-current configuration (HCC) or as a low-current configuration (LCC). Here are some of the results of the study.

 Wiring Configuration Type of Cancer Leukemia Lymphoma Other Cancers HCC 42 12 10 LCC 84 21 31

What proportion of children who died from leukemia lived in households classified as high-current configuration (HCC)  ? (Use 2 decimals and enter % as a decimal, e.g. 0.35 instead of 35% )

• Question 9

A software support company is interested in determining whether the number of requests for service received in any given month varies depending on the industry sector to which their clients belong.
They collect data from a random sample of customers and prepare the following table :

 # of Industry Sector Requests per month Electronics Food Airlines Healthcare 15 or more 25 30 40 35 11 to 14 50 40 20 40 7 to 10 20 25 20 10 3 to 6 15 18 20 18 2 or less 25 25 18 6

The degrees of freedom of the Chi Square test is _______________

• Question 10

A researcher wishes to see whether the type of gasoline used and the type of automobile driven have any effect on gasoline consumption.  Two types of gasoline, regular, and high-octane, will be used, and two types of automobiles, two –wheel – and four –wheel-drive, will be used in each group. There will be two automobiles in each group, for a total of eight automobiles used.  Complete the following two-way ANOVA table.

 ANOVA Source of Variation SS df MS F P-value F crit Rows (Type of Gas) 16 1 Columns (Type of Automobile) 5.57 1 Interaction 23.44 1 Within (Error) 18.92 4 Total 7

The value of the mean square for the Type of Automobile is ________

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