Based on all student records at Camford University, students spend an average of 5.80 hours per week playing organized sports. The population's standard deviation is 3.50 hours per week. Based on a sample of 64 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. Required: a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 2 decimal places.) Standard error b. What is the chance HLI will find a sample mean between 5 and 6.6 hours? (Round your z and standard error values to 2 decimal places. Round your intermediate and final answer to 4 decimal places.) Chance c. Calculate the probability that the sample mean will be between 5.4 and 6.2 hours. (Round your z and standard error values to 2 decimal places. Round your intermediate and final answer to 4 decimal places.) Probability

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Based on all student records at Camford University, students spend an average of 5.80 hours per week playing organized sports. The
population's standard deviation is 3.50 hours per week. Based on a sample of 64 students, Healthy Lifestyles Incorporated (HLI) would
like to apply the central limit theorem to make various estimates.
Required:
a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 2 decimal places.)
Standard error
b. What is the chance HLI will find a sample mean between 5 and 6.6 hours? (Round your z and standard error values to 2 decimal
places. Round your intermediate and final answer to 4 decimal places.)
Chance
c. Calculate the probability that the sample mean will be between 5.4 and 6.2 hours. (Round your z and standard error values to 2
decimal places. Round your intermediate and final answer to 4 decimal places.)
Probability
Transcribed Image Text:Based on all student records at Camford University, students spend an average of 5.80 hours per week playing organized sports. The population's standard deviation is 3.50 hours per week. Based on a sample of 64 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. Required: a. Compute the standard error of the sampling distribution of sample means. (Round your answer to 2 decimal places.) Standard error b. What is the chance HLI will find a sample mean between 5 and 6.6 hours? (Round your z and standard error values to 2 decimal places. Round your intermediate and final answer to 4 decimal places.) Chance c. Calculate the probability that the sample mean will be between 5.4 and 6.2 hours. (Round your z and standard error values to 2 decimal places. Round your intermediate and final answer to 4 decimal places.) Probability
d. How strange would it be to obtain a sample mean greater than 7.80 hours?
O This is very unlikely.
This is very likely.
Transcribed Image Text:d. How strange would it be to obtain a sample mean greater than 7.80 hours? O This is very unlikely. This is very likely.
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