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(a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx = 175.2 (Type an integer or a decimal. Do not round.) The standard deviation is σx = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 173.1 and 176.1 centimeters inclusive. sample means (Round to the nearest whole number as needed.)

(a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx = 175.2 (Type an integer or a decimal. Do not round.) The standard deviation is σx = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 173.1 and 176.1 centimeters inclusive. sample means (Round to the nearest whole number as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help with part b please

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The heights of 1000 students are approximately normally distributed with a mean of 175.2 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 = 175.2 (Type an integer or a decimal. Do not round.) The standard deviation is σx = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 173.1 and 176.1 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 175.2 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 = 175.2 (Type an integer or a decimal. Do not round.) The standard deviation is σx = 1.3. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 173.1 and 176.1 centimeters inclusive. sample means (Round to the nearest whole number as needed.)
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