For a standardized psychology examination, the scores have a mean of 500 and a standard deviation of 98. It is hypothesi

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For A Standardized Psychology Examination The Scores Have A Mean Of 500 And A Standard Deviation Of 98 It Is Hypothesi 1 (42.72 KiB) Viewed 60 times

For a standardized psychology examination, the scores have a mean of 500 and a standard deviation of 98. It is hypothesized that the standard deviation, o, of scores for psychology majors on this exam is lower than 98. A random sample of 15 exams completed by psychology majors had a mean of 511 and a standard deviation of 71. 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.) р a p (a) State the null hypothesis H, and the alternative hypothesis H1 H:0 X s H:0 4 . : (b) Determine the type of test statistic to use. t Degrees of freedom: I O=O OSO DO ロロ O<O O> (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 X $ ? (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 98? O Yes O NO