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For a standardized psychology examination, the scores have a mean of 500 and a standard deviation of 96. It is hypothesized that the standard deviation, o, of scores for psychology majors on this exam is lower than 96. A random sample of 27 exams completed by psychology majors had a mean of 514 and a standard deviation of 68. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 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 H1. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

For a standardized psychology examination, the scores have a mean of 500 and a standard deviation of 96. It is hypothesized that the standard deviation, o, of scores for psychology majors on this exam is lower than 96. A random sample of 27 exams completed by psychology majors had a mean of 514 and a standard deviation of 68. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 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 H1. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=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
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 standard deviation of 96. It is hypothesized that the standard deviation, o, of scores for psychology majors on this exam is lower than 96. A random sample of 27 exams completed by psychology majors had a mean of 514 and a standard deviation of 68. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 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,. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude that the standard deviation of scores for psychology majors on the exam is lower than 96? O Yes ONo olo to
Transcribed Image Text:For a standardized psychology examination, the scores have a mean of 500 and a standard deviation of 96. It is hypothesized that the standard deviation, o, of scores for psychology majors on this exam is lower than 96. A random sample of 27 exams completed by psychology majors had a mean of 514 and a standard deviation of 68. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 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,. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude that the standard deviation of scores for psychology majors on the exam is lower than 96? O Yes ONo olo to
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