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The heights of 1000 students are approximately normally distributed with a mean of 178.2 centimeters and a standard deviation of 6.9 centimeters. Suppose 400 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. The mean is μ = 178.2. (Type an integer or a decimal. Do not round.) The standard deviation is o = 1.38 (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 176.6 and 179.3 centimeters inclusive. 273 sample means (Round to the nearest whole number as needed.) (c) Determine the expected number of sample means falling below 176.0 centimeters. 22 sample means (Round to the nearest whole number as needed.)

The heights of 1000 students are approximately normally distributed with a mean of 178.2 centimeters and a standard deviation of 6.9 centimeters. Suppose 400 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. The mean is μ = 178.2. (Type an integer or a decimal. Do not round.) The standard deviation is o = 1.38 (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 176.6 and 179.3 centimeters inclusive. 273 sample means (Round to the nearest whole number as needed.) (c) Determine the expected number of sample means falling below 176.0 centimeters. 22 sample means (Round to the nearest whole number as needed.)

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
Section: Chapter Questions
Problem 22SGR
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Part c
The heights of 1000 students are approximately normally distributed with a mean of 178.2 centimeters and a standard deviation of 6.9 centimeters. Suppose 400 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. The mean is μ = 178.2. (Type an integer or a decimal. Do not round.) The standard deviation is ox= 1.38. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 176.6 and 179.3 centimeters inclusive. 273 sample means (Round to the nearest whole number as needed.) (c) Determine the expected number of sample means falling below 176.0 centimeters. 22 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 178.2 centimeters and a standard deviation of 6.9 centimeters. Suppose 400 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. The mean is μ = 178.2. (Type an integer or a decimal. Do not round.) The standard deviation is ox= 1.38. (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 176.6 and 179.3 centimeters inclusive. 273 sample means (Round to the nearest whole number as needed.) (c) Determine the expected number of sample means falling below 176.0 centimeters. 22 sample means (Round to the nearest whole number as needed.)
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