Using and Interpreting Concepts Interpreting the Central Limit Theorem In Exercises 19-26, find the mean and...

Transcribed Image Text:

Using and Interpreting Concepts Interpreting the Central Limit Theorem In Exercises 19-26, find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. 19. SAT Critical Reading Scores: Males The scores for males on the critical reading portion of the SAT in 2016 are normally distributed, with a mean of 495 and a standard deviation of 120. Random samples of size 20 are drawn from this population, and the mean of each sample is determined. (Source: The College Board) 20. SAT Critical Reading Scores: Females The scores for females on the critical reading portion of the SAT in 2016 are normally distributed, with a mean of 493 and a standard deviation of 114. Random samples of size 36 are drawn from this population, and the mean of each sample is determined. (Source: The College Board) 21. Temperature The monthly growing season temperatures across villages in Tanzania are normally distributed, with a mean of 23C and a standard deviation of 1.3C. Random samples of size 25 are drawn from this population, and the mean of each sample is determined. (Source: Agricultural and Applied Economics Association) 22. Precipitation The monthly growing season precipitation across villages in Tanzania is normally distributed, with a mean of 87 centimeters and a standard deviation of 14.5 centimeters. Random samples of size 30 are drawn from this population, and the mean of each sample is determined. (Source: Agricultural and Applied Economics Association) 23. Water Footprint A water footprint is a measure of the appropriation of fresh water. The per capita water footprint in the United States for a recent year is approximately normally distributed, with a mean of 1.64 mega gallons and a standard deviation of 2.89 mega gallons. Random samples of size 12 are drawn from this population, and the mean of each sample is determined. (Source: Water Resources Research) 24. Water Use in Hospitals The amounts of cold water for patient consumption in hospitals in Spain are normally distributed, with a mean of 196 cubic meters per bed and a standard deviation of 70 cubic meters per bed. Random samples of size 15 are drawn from this population, and the mean of each sample is determined. (Source: Journal of Healthcare Engineering) ormally Using and Interpreting Concepts Interpreting the Central Limit Theorem In Exercises 19-26, find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. 19. SAT Critical Reading Scores: Males The scores for males on the critical reading portion of the SAT in 2016 are normally distributed, with a mean of 495 and a standard deviation of 120. Random samples of size 20 are drawn from this population, and the mean of each sample is determined. (Source: The College Board) 20. SAT Critical Reading Scores: Females The scores for females on the critical reading portion of the SAT in 2016 are normally distributed, with a mean of 493 and a standard deviation of 114. Random samples of size 36 are drawn from this population, and the mean of each sample is determined. (Source: The College Board) 21. Temperature The monthly growing season temperatures across villages in Tanzania are normally distributed, with a mean of 23C and a standard deviation of 1.3C. Random samples of size 25 are drawn from this population, and the mean of each sample is determined. (Source: Agricultural and Applied Economics Association) 22. Precipitation The monthly growing season precipitation across villages in Tanzania is normally distributed, with a mean of 87 centimeters and a standard deviation of 14.5 centimeters. Random samples of size 30 are drawn from this population, and the mean of each sample is determined. (Source: Agricultural and Applied Economics Association) 23. Water Footprint A water footprint is a measure of the appropriation of fresh water. The per capita water footprint in the United States for a recent year is approximately normally distributed, with a mean of 1.64 mega gallons and a standard deviation of 2.89 mega gallons. Random samples of size 12 are drawn from this population, and the mean of each sample is determined. (Source: Water Resources Research) 24. Water Use in Hospitals The amounts of cold water for patient consumption in hospitals in Spain are normally distributed, with a mean of 196 cubic meters per bed and a standard deviation of 70 cubic meters per bed. Random samples of size 15 are drawn from this population, and the mean of each sample is determined. (Source: Journal of Healthcare Engineering) ormally