A data set includes data from student evaluations of courses. The summary statistics are n=91, x=3.67, s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? OA. Ho: H=3.75 H,:μ > 3.75 OC. Ho: μ =3.75 H₁: μ<3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is sufficient OB. Ho: *3.75 H₁: p=3.75 evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 not sufficient OD. Ho: H=3.75 H₁: 3.75 correct.

Suppose you work for the Department of Environment and National Resources (DENR). You want to estimate, with 95% confidence, the mean length of all tilapia in a fish hatchery pond. You take a random sample of 10 tilapia and determine the average length is 10.5 inches and the sample standard deviation is 2.9 inches. Construct a confidence interval for this sample and interpret the result.

A newsletter publisher believes that 48 % of their readers own a laptop. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.10 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher’s claim?

A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips. ANOVA table Source ns on Viewer Error Total DF SS MS F-Stat P-value 2 1235.5500 617.77500 62.2790 <0.0001 77 763.80000 9.9194805 79 1999.3500 Ho: H₁ H₂ H3 Determine the alternative hypothesis. H₁: At least one of the means is different from the others Determine the test statistic. The test statistic is 62.28. (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.)