The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 12 supermarkets from Region 1 had mean sales of 79.8 with a standard deviation of 8.8. A random sample of 17 supermarkets from Region 2 had a mean sales of 85.2 with a standard deviation of 8.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and ₂ be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 4: State the null and alternative hypotheses for the test.

Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is u 15.00 Mbps. The sample size is n 14 and the test statistic is t = - 1.334 (Round to three decimal places as needed.) P-value

Only 25% of registered voters voted in the last election. Will voter participation higher for the upcoming election? Of the 600 randomly selected registered voters surveyed, 192 of them will vote in the upcoming election. Perform a hypothesis test and use a = .05 level of significance? Step (1) Determine the null and alternative hypotheses. Ho: p= 0.25 Ho: p0.25 Step (2) Determine the test statistic and p-value. Test Statistic: 3.9598 p-value = 0.0003 Step (3) Find the critical value for the rejection region ZV Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. Step (4) Compare the p-value to alpha

Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is µ< 98.6°F. The sample size is n= 5 and the test statistic is t= - 2.604. ..... P-value = (Round to three decimal places as needed.)