Information regarding the starting salaries (in $1,000) of samples of students in four different majors is given below. Majors Marketing Business Admin Accounting Personal finacne Sample size 12 10 9 14 Sample average 26 31 22 25 Sample variance 10 7 15 9 Research Question: Is there a significant difference in the means of four populations? Assume α = 5%. B. State the null and alternative hypotheses. Null: xbarmanagement = xbarmarketing = xbarfinance = xbaraccounting; Alternative: All samples means are different Null: μmanagement = μmarketing = μfinance = μaccounting; Alternative: At least two population means are different Null: xbarmanagement = xbarmarketing = xbarfinance = xbaraccounting; Alternative: At least two sample means are different Null: μmanagement = μmarketing = μfinance = μaccounting; Alternative: All population means are different C. Fill in the blank in the following table: x¯¯ 26 nT SSTR 408 SSE 410 nT = ___________. 45 12 41 10

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Information regarding the starting salaries (in $1,000) of samples of students in four different majors is given below.

 

 

Majors

 

 

Marketing

Business Admin

Accounting

Personal finacne

 

Sample size

12

10

9

14

 

Sample average

26

31

22

25

 

Sample variance

10

7

15

9

 

Research Question: Is there a significant difference in the means of four populations? Assume α = 5%.

B. State the null and alternative hypotheses.

Null: xbarmanagement = xbarmarketing = xbarfinance = xbaraccounting; Alternative: All samples means are different
Null: μmanagement = μmarketing = μfinance = μaccounting; Alternative: At least two population means are different
Null: xbarmanagement = xbarmarketing = xbarfinance = xbaraccounting; Alternative: At least two sample means are different
Null: μmanagement = μmarketing = μfinance = μaccounting; Alternative: All population means are different
C. Fill in the blank in the following table:
x¯¯

26

 n

 

SSTR

408

SSE

410

 n= ___________.

45
12
41
10
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