An examination in communications has been taken by communications 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 25 examinations completed by communications majors and an independent random sample of 28 examinations completed by students from other majors are selected. Among sampled students, the communications majors scored a mean of 532.3 points with a variance of 10,878.49, and the students from other majors scored a mean of 507.7 points with a variance of 19,432.36. Can we conclude, at the 0.05 significance level, that the population variance of scores of communications majors, o, is less than 0, 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.)

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(a) State the null hypothesis H, and the alternative hypothesis H.
: 0
Ho
H :0
1
(b) Determine the type of test statistic to use.
|(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the variance of all scores of communications majors is
less than the variance of all scores of other majors?
O Yes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H. : 0 Ho H :0 1 (b) Determine the type of test statistic to use. |(Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the variance of all scores of communications majors is less than the variance of all scores of other majors? O Yes ONo
An examination in communications has been taken by communications 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 25 examinations completed by communications majors
and an independent random sample of 28 examinations completed by students from other majors are selected. Among sampled students, the
communications majors scored a mean of 532.3 points with a variance of 10,878.49, and the students from other majors scored a mean of
507.7 points with a variance of 19,432.36. Can we conclude, at the 0.05 significance level, that the population variance of scores of
communications majors, o
is less than
the population variance of scores of other majors?
1'
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 communications has been taken by communications 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 25 examinations completed by communications majors and an independent random sample of 28 examinations completed by students from other majors are selected. Among sampled students, the communications majors scored a mean of 532.3 points with a variance of 10,878.49, and the students from other majors scored a mean of 507.7 points with a variance of 19,432.36. Can we conclude, at the 0.05 significance level, that the population variance of scores of communications majors, o is less than the population variance of scores of other majors? 1' 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.)
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