Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:Grades74.49683.26563.964.374.46968.488Test grades are believed to be normally distributed.Use a significance level of 5%.State the alternative hypothesis: HA:HA:μ>65μ>65μ<65μ<65μ≠65μ≠65State the mean of the sample: (Round to two decimal places.)State the standard error of the sample means: (Round to four decimal places.)State the test statistic: t=t= (Round to four decimal places.)State the p-value: (Round to four decimal places.)Decision:Reject the null hypothesis.Do not reject the null hypothesis.

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Answered: Statistics students believe that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:

Grades	74.4	96	83.2	65	63.9	64.3	74.4	69	68.4	88

Test grades are believed to be normally distributed.

Use a significance level of 5%.

State the alternative hypothesis: HA:HA:
- μ>65μ>65
- μ<65μ<65
- μ≠65μ≠65
State the mean of the sample: (Round to two decimal places.)
State the standard error of the sample means: (Round to four decimal places.)
State the test statistic: t=t= (Round to four decimal places.)
State the p-value: (Round to four decimal places.)
Decision:
- Reject the null hypothesis.
- Do not reject the null hypothesis.