For a standardized psychology examination, the scores have a mean of 500 and a variance of 9151. It is hypothesized that the variance, oʻ, of scores for psychology majors on this exam is lower than 9151. A random sample of 18 exams completed by psychology majors had a mean of 505 and a variance of 3734. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.05 level of significance, that the hypothesis is correct? 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,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For a standardized psychology examination, the scores have a mean of 500 and a variance of 9151. It is hypothesized that the variance, o, of scores for
psychology majors on this exam is lower than 9151. A random sample of 18 exams completed by psychology majors had a mean of 505 and a variance of 3734.
Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.05 level of significance, that
the hypothesis is correct?
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 Ho and the alternative hypothesis H,.
H, :0
H :U
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the variance of scores for psychology majors on the
exam is lower than 9151?
OYes ONo
Transcribed Image Text:For a standardized psychology examination, the scores have a mean of 500 and a variance of 9151. It is hypothesized that the variance, o, of scores for psychology majors on this exam is lower than 9151. A random sample of 18 exams completed by psychology majors had a mean of 505 and a variance of 3734. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.05 level of significance, that the hypothesis is correct? 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 Ho and the alternative hypothesis H,. H, :0 H :U (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the variance of scores for psychology majors on the exam is lower than 9151? OYes ONo
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