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The heights of 1000 students are approximately normally distributed with a mean of 173.8 centimeters and a standard deviation of 6.5 centimeters. Suppose 300 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx = 173.8. (Type an integer or a decimal. Do not round.) The standard deviation is σ = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 171.7 and 174.5 centimeters inclusive. sample means (Round to the nearest whole number as needed.)

The heights of 1000 students are approximately normally distributed with a mean of 173.8 centimeters and a standard deviation of 6.5 centimeters. Suppose 300 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx = 173.8. (Type an integer or a decimal. Do not round.) The standard deviation is σ = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 171.7 and 174.5 centimeters inclusive. sample means (Round to the nearest whole number as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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I need help with part b please

The heights of 1000 students are approximately normally distributed with a mean of 173.8 centimeters and a standard deviation of 6.5 centimeters. Suppose 300 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx = 173.8 . (Type an integer or a decimal. Do not round.) The standard deviation is σ = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 171.7 and 174.5 centimeters inclusive. sample means (Round to the nearest whole number as needed.)
Transcribed Image Text:The heights of 1000 students are approximately normally distributed with a mean of 173.8 centimeters and a standard deviation of 6.5 centimeters. Suppose 300 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx = 173.8 . (Type an integer or a decimal. Do not round.) The standard deviation is σ = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 171.7 and 174.5 centimeters inclusive. sample means (Round to the nearest whole number as needed.)
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