a) State the null hypothesis H and the alternative hypothesis H,. 2 H, : o 2 2 H, : (b) Determine the type of test statistic to use. Degrees of freedom: dfn:| dfd:|| (c) Find the value of the test statistic. (Round to three or more decimal places.) 0.369 (d) Find the p-value. (Round to three or more decimal places.)

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please find degrees of freedom, (d), (e) 

An examination in psychology has been taken by psychology majors and also by some students from other majors. It is widely believed that the scores for both
groups are normally distributed. A random sample of 23 examinations completed by psychology majors and an independent random sample of 18 examinations
completed by students from other majors are selected. Among sampled students, the psychology majors scored a mean of 521.7 points with a variance of
10,000, and the students from other majors scored a mean of 498.9 points with a variance of 27,093.16. Can we conclude, at the 0.01 significance level, that
the population variance of scores of psychology majors, of, is less than
the population variance of scores of other majors?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
Transcribed Image Text:An examination in psychology has been taken by psychology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 23 examinations completed by psychology majors and an independent random sample of 18 examinations completed by students from other majors are selected. Among sampled students, the psychology majors scored a mean of 521.7 points with a variance of 10,000, and the students from other majors scored a mean of 498.9 points with a variance of 27,093.16. Can we conclude, at the 0.01 significance level, that the population variance of scores of psychology majors, of, is less than the population variance of scores of other majors? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H,.
2
2
H, : 01
02
2
H1
:
02
(b) Determine the type of test statistic to use.
F
Degrees of freedom: dfn: | dfd:
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0.369
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the variance of all scores of psychology majors is less
than the variance of all scores of other majors?
OYes ONo
Transcribed Image Text:(a) State the null hypothesis H and the alternative hypothesis H,. 2 2 H, : 01 02 2 H1 : 02 (b) Determine the type of test statistic to use. F Degrees of freedom: dfn: | dfd: (c) Find the value of the test statistic. (Round to three or more decimal places.) 0.369 (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the variance of all scores of psychology majors is less than the variance of all scores of other majors? OYes ONo
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