Statistics students believe that the mean score on the first statistics test is 65. A statistics instructor thinks the mean score is lower than 65. He randomly samples 10 statistics student scores and obtains the scores [62, 54, 64, 58, 70, 67, 63, 59, 69, 64]. He performs a hypothesis test using a 5% level of significance. Draw the graph of the normal distribution showing the rejection region & indicate your calculated value. State the null and alternative hypothesis

Statistics students believe that the mean score on the first statistics test is 65. A statistics instructor thinks the mean score is lower than 65. He randomly samples 10 statistics student scores and obtains the scores [62, 54, 64, 58, 70, 67, 63, 59, 69, 64]. He performs a hypothesis test using a 5% level of significance. Draw the graph of the normal distribution showing the rejection region & indicate your calculated value. State the null and alternative hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3BGP

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Question

Statistics students believe that the mean score on the first statistics test is 65. A
statistics instructor thinks the mean score is lower than 65. He randomly samples 10
statistics student scores and obtains the scores [62, 54, 64, 58, 70, 67, 63, 59, 69, 64].
He performs a hypothesis test using a 5% level of significance. Draw the graph of the
normal distribution showing the rejection region & indicate your calculated value. State
the null and alternative hypothesis.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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