MATH 221 Week 7 Apply Your Skills workbook

See the Week 7: Apply Your Skills Grading Rubric Category Sample Data / Con昀椀dence Interval Calcula琀椀ons Con昀椀dence Interval Ques琀椀ons Hypothesis Test Calcula琀椀ons Hypothesis Test Ques琀椀ons Overall Conclusion Communica琀椀on Skills TOTAL Points % 4 6.67% 16 26.67% 5 8% 20 33.33% 10 16.67% 5 8.33% 60 100% DIRECTIONS This assignment is based on the following claim: Claim: The owner of the website claims that the popula琀椀on mean visitors to the website is 354 Construct a 95% con昀椀dence interval for the popula琀椀on mean number of visitors to the website. Run a hypothesis test where α =0.05 to test the claim. Remember – You will use the values for mean, standard devia琀椀on, and sample size obtained in Week 3’s Apply Your Skills assignment. Step 1: Enter your name and date Step 2: Determine a con昀椀dence interval for the popula琀椀on mean visitors to the website using the mean, sample standard devia琀椀on, and sample size you found in the Week 3: Apply Your Skills assignment. Step 3: Write a summary for the con昀椀dence interval that answers the ques琀椀ons about the claim that the popula琀椀on mean visitors to the website is 354 per day. Complete this step in the QUESTIONS area below. Next Step: Go to the Hypothesis Test Calculator worksheet to complete the 昀椀nal part of this assignment. QUESTIONS Please Answer the Ques琀椀ons Below. Place you answer in the space provided below each ques琀椀on. 1. State the con昀椀dence interval found using this calculator and the results obtained in Week 3 with your sample data. [278.21, 366.27] 2. What does the con昀椀dence interval tell you about the popula琀椀on mean visitors to the website? This con昀椀dence interval suggests that, based on my sample, I can be 95% con昀椀dent that the true popula琀椀on mean number of visitors per day lies between 278.21 and 366.27. It gives a plausible range of values for the popula琀椀on mean, rather than a single exact numbe 3. Is the claim inside or outside the interval? What does this mean? The website owner’s claim is that the popula琀椀on mean is 354 visitors per day. Since 354 is inside the interval [278.21, 366.27], it is a value that is consistent with my sample data. This means my sample does not contradict the claim; the claim is plausible given the data. 4. Does the con昀椀dence interval provide evidence to support the claim? Why or Why not? Yes, the con昀椀dence interval provides some evidence to support the claim. Because the claimed mean of 354 falls within the 95% con昀椀dence interval, there is no sta琀椀s琀椀cal reason —based on this interval—to doubt the claim. However, it does not prove the claim is exactly true; it only shows that 354 is a reasonable and compa琀椀ble value for the popula琀椀on mean given my sample. QUESTIONS Write a summary of the hypothesis test that includes the following. Place your answers in the space provided below each ques琀椀on. 1. Statements of the null and alternate hypotheses Ho:µ 354 Ha:µ 354 2. State what kind of test (le昀琀 tailed, right tailed, or two-tailed) you