(a) Construct a 99.5% confidence interval for the mean number of hours it takes for a student to meet course objectives. Round the answers to one decimal place. (b) If a sample of 49 students had been studied, would you expect the interval to be wider or narrower than the interval constructed in part (a)? Explain.
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- What is meant by the sample space of an experiment?In an analysis investigating the usefulness of pennies, the cents portions of 86 randomly selected credit card charges from students are recorded, and they have a mean of 47.6 cents and a standard deviation of 33.1 cents. If the amounts from 0 cents to 99 cents are all equally likely, the mean is expected to be 49.5 cents and the population standard deviation is expected to be 28.866 cents. Use a 0.01 significance level to test the claim that the sample is from a population with a standard deviation equal to 28.866 cents. Complete parts (a) through (e) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=28.866 centsH1: σ≠28.866 centsB.H0: σ≠28.866 centsH1: σ=28.866 centsC.H0: σ=28.866 centsH1: σ>28.866 centsD.H0: σ≥28.866 centsH1: σ<28.866 centsPart 2b. Compute the test statistic.χ2=enter your response here(Round to three decimal places as needed.)Part 3c. Find the P-value of the test…In an analysis investigating the usefulness of pennies, the cents portions of 104 randomly selected credit card charges from students are recorded, and they have a mean of 47.6 cents and a standard deviation of 30.4 cents. If the amounts from 0 cents to 99 cents are all equally likely, the mean is expected to be 49.5 cents and the population standard deviation is expected to be 28.866 cents. Use a 0.025 significance level to test the claim that the sample is from a population with a standard deviation equal to 28.866 cents. Complete parts (a) through (e) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ≥28.866 centsH1: σ<28.866 centsB.H0: σ=28.866 centsH1: σ≠28.866 centsC.H0: σ=28.866 centsH1: σ>28.866 centsD.H0: σ≠28.866 centsH1: σ=28.866 centsPart 2b. Compute the test statistic.χ2=enter your response here(Round to three decimal places as needed.)Part 3c. Find the P-value of the test…
- 4. A research article reported that for a random sample of 850 meal purchases made at fast food chain A, the mean sodium content was 1,687 mg, and the standard deviation was 823 mg. For a random sample of 2,107 meal purchases made at fast food chain B, the mean sodium content was 1,474 mg, and the standard deviation was 811 mg. Based on these data, is it reasonable to conclude that there is a difference in mean sodium content for meal purchases at fast food chain A and meal purchases at fast food chain B? Use ? = 0.05. (Use ?1 for fast food chain A and ?2 for fast food chain B.) State the appropriate null and alternative hypotheses. A) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 < 0 B) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 C) H0: ?1 − ?2 ≠ 0 Ha: ?1 − ?2 = 0 D) H0: ?1 − ?2 > 0 Ha: ?1 − ?2 = 0 E) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 > 0 t=_________ P-value_______ State the conclusion in the problem context. A) We reject H0. It is not reasonable to conclude that there is a…In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework and process, a sample of 351 patients showed the mean wait time was 23.05 minutes, with a standard deviation of 16.27 minutes. Find the test statistic for this hypothesis test.