3. Use this scenario to answer the following questions. Ms. Fitness-Buff, a high school gym teacher,...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
3. Use this scenario to answer the following questions. Ms. Fitness-Buff, a high school gym teacher, wants to propose an after-school fitness program. To get an idea of the fitness level of the students at her school, she takes a random sample of 75 students and records the number of hours the students exercised in the past week. Her sample mean is 2.25 hours and she knows from past research that the population standard deviation is 2 hours. She wants to know if this varies from a population mean of 3 hours/week. A. Construct a 95% confidence interval. (2 points) B. Draw a conclusion for a two-sided test at a = .05. (1 point) C. Ms. Fitness-Buff is told that if students exercise less than 3 hours per week, she can start an after-school fitness program. Test this one-sided hypothesis and draw a conclusion at a = .05. (2 points) D. What would the consequences of a Type I error be in the test from part C? (1 point) E. What's the probability of a Type I error for the test in part C? (1 point) F. What would the consequences of a Type II error be for the test from part C? (1 point) G. What is the rejection region for Ho: x = 3 for the test from part C? (1 point) H. Calculate the probability of making a Type II error if the true population mean is 2.75. (2 points) 1. What's the power of the test if the true population mean is 2.75? (1 point) 3. Use this scenario to answer the following questions. Ms. Fitness-Buff, a high school gym teacher, wants to propose an after-school fitness program. To get an idea of the fitness level of the students at her school, she takes a random sample of 75 students and records the number of hours the students exercised in the past week. Her sample mean is 2.25 hours and she knows from past research that the population standard deviation is 2 hours. She wants to know if this varies from a population mean of 3 hours/week. A. Construct a 95% confidence interval. (2 points) B. Draw a conclusion for a two-sided test at a = .05. (1 point) C. Ms. Fitness-Buff is told that if students exercise less than 3 hours per week, she can start an after-school fitness program. Test this one-sided hypothesis and draw a conclusion at a = .05. (2 points) D. What would the consequences of a Type I error be in the test from part C? (1 point) E. What's the probability of a Type I error for the test in part C? (1 point) F. What would the consequences of a Type II error be for the test from part C? (1 point) G. What is the rejection region for Ho: x = 3 for the test from part C? (1 point) H. Calculate the probability of making a Type II error if the true population mean is 2.75. (2 points) 1. What's the power of the test if the true population mean is 2.75? (1 point)
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
Consider thedeadlock situation that could occur in the dining-philosophers problem when the philosophers obtain the chopsticks one at a time. Discuss how the four necessary conditions for deadlock...
-
Which are the components of pension expense that involve delayed recognition?
-
The following are the statements of financial position of two companies at 31 October 2018, the end of their most recent financial years: The following additional information is available: 1). On 1...
-
On November 1 of the current year, Billies, Inc., received a \($2,700.00\) rent payment from Simms & Ulman. The payment covers rent of office space for November through April, \($450.00\) per month....
-
Henrietta transfers cash of $75,000 and equipment with a fair market value of $25,000 (basis to her as a sole proprietor, $10,000) in exchange for a 40% profit and loss interest worth $100,000. a....
-
Drinking more than 4 cups of juice a day may cause cavities in young children. This was a conclusion reached in a study of 570 healthy children aged 2 - 6 years old, in which doctors asked parents to...
-
Based on the results of the Marshall test for the design of mixed materials (wearing course) as shown in Table 1, determine the optimum bitumen content for the mixture of such materials. Table 1:...
-
Have a look at the case of Google Inc v ACCC [2013] HCA 1 Links to an external site. . Focus on the majority opinion. Answer as many of the below questions as you can. This exercise is the basis for...
-
4.9End-of-Topic Case: Applying the Strategic Profit Model to Scenario Analysis RR Online (RR) is a successful outdoor equipment retailer that has experienced increased logistics costs due to its move...
-
George Moosin is a commissioned salesperson who regularly conducts his work away from his employer's place of business. In 2021, George earned a gross salary of $150,000 and commission income of...
-
By completing the square, the expression x + 18x + 87 equals (x + A) + B where A and B
-
Review the case entitled "Chapter 10 Case: Oakhurst Dairy: Operations Management and Sustainability" in the Sustainable Business Case Book . Analyze the case responding to the following questions:...
-
The following information for Aden Company is available: Case 1 2 3 4 5 Cost $5.00 $5.00 $5.00 $5.00 $5.00 Net realizable value 5.10 5.50 4.80 4.20 4.75 Net realizable value less normal profit 4.80...
-
An Atomic Energy Commission nuclear facility was established in Hanford, Washington, in 1943. Over the years, a significant amount of strontium 90 and cesium 137 leaked into the Columbia River. In a...
Study smarter with the SolutionInn App