A professor wondered whether students in different majors earned different amounts during summer employment. He took random samples from 3 different college majors and asked about their earnings during their summer employment.The results are reported in the table below (in $1000's). Is there a significant difference in summer earnings among the 3 groups of majors? Test at alpha = .05.

Nuclear Physics	Medicine	Psychology
3.3	3.8	5
2.5	5.1	6.2
4.6	3.9	6.3
4.8	6.2	5.9
3.9	4.8	6.4

Use analysis of variance with = .05 to determinewhether these data indicate anysignificant differences among the groups

Usethe Tukeytest to determine which of the groups are significantly different from eachother. Use the .05 level of significance for all tests.

Use your calculations andresults to answer all questions that follow:

What are Total df?: 14

What are Between Groups df? : 2

What are Within Groups df? 12

What is the Critical value of F?: 3.88

What is the Independent Variable? COLLEGE MAJOR

What is the Dependent Variable? SUMMER EARNINGS

What is Total SS? Report to 2 decimal places: Blank 7

What is Between Groups SS? Report to 2 decimal places: Blank 8

What is Within Groups SS? Report to 2 decimal places: Blank 9

What is the Between Groups MS?Report to 2 decimal places: Blank 10

What is Within Groups MS? Round to 2 decimal places: Blank 11

What is the Calculated Value of F? Round to 2 decimal places: Blank 12

Statistical Decision?REJECT or FAIL TO REJECT Ho (typerejectorfail): Blank 13

What is Eta-Squared (or, R-Square, if you prefer)? Round to 2 decimal places: Blank 14

TukeyTest (alpha = .05)

What is the value of q? Report to 3 decimal places. Blank 15

What is the value of HSD? Blank 16

Groups 1 vs. 2 (Nuclear Physics vs. Medicine)

What is the absolute value of the difference between the means of these two groups?Round to 2 decimal places Blank 17

REJECT or FAIL TO REJECT Ho (type inrejectorfail): Blank 18

Are earnings higher for Nuclear Physics, Medicine, or neither (writephysics, medicine,orneither) Blank 19

Groups 1 vs. 3 (Nuclear Physics vs. Psychology)

What is the absolute value of the difference between the means of these two groups? Round to 2 decimal places Blank 20

REJECT or FAIL TO REJECT Ho? (type inrejectorfail) Blank 21

Are earnings higher for Nuclear Physics, Psychology, or neither? (type inphysics, psychology,orneither) Blank 22

Groups 2 vs. 3 (Medicine vs. Psychology)

What is the absolute value of the difference between the means of these two groups? Round to 1 decimal. Blank 23

REJECT or FAIL TO REJECT Ho? (type inrejectorfail)Blank 24

Are the earnings higher for Medicineor Psychology? (type inmedicine,psychology,orneither) Blank 25

Evaluate the following statements:

a) psychology students earned more than nuclear physics students.

b) nuclear physics students earned more than medicine students.

c) psychology students earned more than medicine students.

d) nuclear physics students earned statistically the same as medicine students.

Which of the above statements is true? (type in a, b, c, d or any combination of these letters. Separate letters with commas). Include as many as you think are true.Blank 26