Assume that the heights of adult puffins are normally distributed, with a mean of u = 16.1 inches and a standard deviation of a 3.2 inches. For a random sample of 16 puffins, answer the following: What is the mean of the distribution of ? What is the standard deviation of the distribution of a ? What is the probability of obtaining a sample mean height less than 15.3 inches? What is the probability of obtaining a sample mean height greater than 16.7 inches?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that the heights of adult puffins are normally distributed, with a mean of u = 16.1 inches and a standard
deviation of a = 3.2 inches. For a random sample of 16 puffins, answer the following:
What is the mean of the distribution of z ?
What is the standard deviation of the distribution of a ?
What is the probability of obtaining a sample mean height less than 15.3 inches?
What is the probability of obtaining a sample mean height greater than 16.7 inches?
Transcribed Image Text:Assume that the heights of adult puffins are normally distributed, with a mean of u = 16.1 inches and a standard deviation of a = 3.2 inches. For a random sample of 16 puffins, answer the following: What is the mean of the distribution of z ? What is the standard deviation of the distribution of a ? What is the probability of obtaining a sample mean height less than 15.3 inches? What is the probability of obtaining a sample mean height greater than 16.7 inches?
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