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Based on all student records at Camford University, students spend an average of 5.5 hours per week playing organized sports. The population's standard deviation is 2.2 hours per week. Based on a sample of 121 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 1 decimal place.) Standard error b. What is the chance HLI will find a sample mean between 5 and 6 hours? (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Chance c. Calculate the probability that the sample mean will be between 5.3 and 5.7 hours. (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Probability

Based on all student records at Camford University, students spend an average of 5.5 hours per week playing organized sports. The population's standard deviation is 2.2 hours per week. Based on a sample of 121 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 1 decimal place.) Standard error b. What is the chance HLI will find a sample mean between 5 and 6 hours? (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Chance c. Calculate the probability that the sample mean will be between 5.3 and 5.7 hours. (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Probability

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Based on all student records at Camford University, students spend an average of 5.5 hours per week playing organized sports. The population's standard deviation is 2.2 hours per week. Based on a sample of 121 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 1 decimal place.) Standard error b. What is the chance HLI will find a sample mean between 5 and 6 hours? (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Chance c. Calculate the probability that the sample mean will be between 5.3 and 5.7 hours. (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Probability
Transcribed Image Text:Based on all student records at Camford University, students spend an average of 5.5 hours per week playing organized sports. The population's standard deviation is 2.2 hours per week. Based on a sample of 121 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 1 decimal place.) Standard error b. What is the chance HLI will find a sample mean between 5 and 6 hours? (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Chance c. Calculate the probability that the sample mean will be between 5.3 and 5.7 hours. (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Probability
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