The data for a random sample of six paired observations are shown in the table. a. Calculatex and s b. Express , in terms of p, and ₂- c. Form a 90% confidence interval for Ha d. Test the null hypothesis Ho: H0 against the alternative hypothesis H, H*0. Use a=0.10. a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Find X- (Round to two decimal places as needed.) Calculate s (Round to two decimal places as needed.) b. If , and ₂ are the means of populations 1 and 2, respectively, express , in terms of μ, and ₂. Choose the correct answer below. OA. Hd H₂H₁ OB. Hd₁+H₂ OC. MH₁-H₂ OD. HH₂ + H₁ c. Form a 90% confidence interval for H (Round to two decimal places as needed.) d. Test the null hypothesis Ho: H0 against the alternative hypothesis H₂: H *0. Use a=0.10. Calculate the test statistic. (Round to two decimal places as needed.) Calculate the p-value. p-value= (Round to three decimal places as needed.) What is the appropriate conclusion of the hypothesis test at a = 0.10? OA. Do not reject Ho. There is sufficient evidence to indicate that μg 0. OB. Reject Ho. There is insufficient evidence to indicate that μg 0. OC. Reject Ho. There is sufficient evidence to indicate that µg 0 OD. Do not reject Ho. There is insufficient evidence to indicate that μg 0. Pair 1 2 3 4 5 6 Population 1 Sample (Observation 1) 6 3 6 4 7 Population 2 Sample (Observation 2) 6 6

Do question 7,8 and 9 only  The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…

Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value?     If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…

Given two independent random samples with the following results: ₁ = 16 n₁ = 8 ₁ = 98 ₁ = 70 s₁ = 15 5 = 19 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest integer. Copy Data