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)

While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. Analysis of Colin's data produced the following ANOVA table.

Source of Variation	SS	df	MS	F
Rows (supervisor's style)	410.89	1
Column (training method)	120.78	2
Interaction	2.11	2
Within	109.33	12
Total	643.11	17

The value of the mean square for the interaction is _____You want to prescribe the smallest dosage of a drug that is effective for treating fever. You select five possible dosages and administer them to 250 patients with high fevers. You record the time in minutes until the temperature returns to normal. You use a one way ANOVA to determine if average times for fever reduction differ for the five dosages. The number treatment levels in this experiment is ______

A company sells phone cases in five differentcolors: red, orange, yellow, green, blue and brown. The manager wishes to know if the number of cases sold during the previous week is the same as last year.

Color	Last Week's count	Last Year's Percentage
Red	138	27%
Orange	150	39%
Yellow	27	9%
Green	70	12%
Blue	40	13%
TOTAL	425	100%

What is the value of the Chi Squared statistic for the hypothesis test to determine if vehicle preferences for last week were the same as last year? ( Use 3 decimals for your answer )

We might expect that shoppers are more likely to use credit cards for "impulse purchases", which they decide to make on the spot, as opposed to purchases they had inmind when they went to the store. A researcher interviewed every third person leaving a department store with a purchase to classify their pruchase as impulse or not. Here are the data he obtained on how the customer paid:

Survey	Payment Method
Response	Cash	Check	Credit Card
Impulse Purchases	10	14	16
Planned Purchases	12	24	22

What proportion of customers in the sample paid for their purchase using a check ? (Use 3 decimals)

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 households.

	Head of Household Classification
Suscriber	Clerical	Managerial	Professional
Yes	96	40	45
No	44	87	44

What is the Expected number of Subscribers holding clerical positions ? ( Use 3 decimals for your answer )

A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected for each of the grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achievement of personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Results are presented in the table below by the sex of the child.

	Boys	Girls
Make good grades	96	295
Be popular	32	45
Be good in sports	94	40

Which hypotheses are being tested by the chi-square test?

The null hypothesis is that personal goals and gender are independent, and the alternative is that they are dependent.

The null hypothesis is that the mean personal goal is the same for boys and girls, and the alternative is that the means differ.

Thenull hypothesis is that the difference in personal goals between genders is equal to zero, the alternative is that it's different from zero.

None of the above

The director of a research lab conducted a drug trial on a group of animals. It was hypothesized that the animals receiving the drug would show increased heart rates compared to those that did not receive the drug. They collect the following data.

	Drug
Drug Trial	Heart Rate Increased	No Heart Rate Increase
Treated	36	11
No Treated	27	55

What is the value of the Chi Square statistic for the hypothesis test ? ( Use 3 decimals for your answer )