To test Ho: σ = 2.1 versus H₁: 0>2.1, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 2.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = ☐ (Round to two decimal places as needed.) (b) The P-value is (Round to three decimal places as needed.) (c) Since the P-value is than the level of significance, the researcher reject the null hypothesis Ho: a 2.1.

A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use μ1 for the mean number of families with no children. At α=0.10, is there a difference between the means? Use the P-value method and tables. (a) State the hypothesis and identify the claim with the correct hypothesis. H0:  ▼(Choose one) H1:  ▼(Choose one) This hypothesis test is a ▼(Choose one) test.       (b)Find the critical value(s). Round the answer to 3decimal places, if necessary. If there ismore than one critical value,   Critical values:   (c)Compute the test value. Round the answer to at least 3 decimal places, if necessary. z= Compute the P -value. Round the answer to four decimal places. P-value=   (d)Make the decision. What's the null hypothesis? (e)Summarize the…