A survey claims that the mean score on a statistics test is 81 points. A random...

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A survey claims that the mean score on a statistics test is 81 points. A random sample of 64 test scores yields a mean score of 79 points and a standard deviation of 10 points. Use a significance level of 0.05. A professor wanted to check if the mean score was different from 81 points. a. State the null and alternative hypotheses. b. Construct a test statistic to test the hypotheses. c. Find the P-value and compare it with the level of significance. d. Make the decision and interpret. A survey claims that the mean score on a statistics test is 81 points. A random sample of 64 test scores yields a mean score of 79 points and a standard deviation of 10 points. Use a significance level of 0.05. A professor wanted to check if the mean score was different from 81 points. a. State the null and alternative hypotheses. b. Construct a test statistic to test the hypotheses. c. Find the P-value and compare it with the level of significance. d. Make the decision and interpret.