Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate P(> 21). Hint: Find the z value corresponding to 21 by using and because we wish to calculate a probability about . (Use the rounded standard error to compute the rounded Z- score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Question
Suppose that we will randomly select a sample of 64 measurements from
a population having a mean equal to 20 and a standard deviation equal to
4. Calculate the probability that we will obtain a sample mean greater
than 21; that is, calculate P(> 21). Hint: Find the z value corresponding
to 21 by using and because we wish to calculate a probability
about . (Use the rounded standard error to compute the rounded Z-
score used to find the probability. Round your answer to 4 decimal
places. Round z-scores to 2 decimal places.)
Transcribed Image Text:Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate P(> 21). Hint: Find the z value corresponding to 21 by using and because we wish to calculate a probability about . (Use the rounded standard error to compute the rounded Z- score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.)
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