Suppose x has a distribution with a mean of 55 and a standard deviation of 28. Random samples of size n = 49 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 67. (c) Find P(x < 67). (d) Would it be unusual for a random sample of size 49 from the x distribution to have a sample mean less than 67? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Suppose x has a distribution with a mean of 55 and a standard deviation of 28. Random samples of size
n = 49 are drawn.
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
(b) Find the z value corresponding to x = 67.
(c) Find P(x < 67).
(d) Would it be unusual for a random sample of size 49 from the x distribution to have a sample mean
less than 67? Explain.
Click here to begin!
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Suppose x has a distribution with a mean of 55 and a standard deviation of 28. Random samples of size n = 49 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 67. (c) Find P(x < 67). (d) Would it be unusual for a random sample of size 49 from the x distribution to have a sample mean less than 67? Explain. Click here to begin!
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