Video A population has a mean of 200 and a standard deviation of 90. Suppose a sample of size 100 is selected and 2 is used to estimate u. Use z-table. a. What is the probabity that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probability that the sample mean will be within +/-14 of the population mean (to 4 decimals)? (Round z value in intermediate calculations 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 13PPS
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A population has a mean of 200 and a standard deviation of 90. Suppose a sample of size 100 is selected and 2 is used to estimate u. Use z-table.
a. What is the probabity that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
b. What is the probability that the sample mean will be within +/ 14 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Transcribed Image Text:Video A population has a mean of 200 and a standard deviation of 90. Suppose a sample of size 100 is selected and 2 is used to estimate u. Use z-table. a. What is the probabity that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probability that the sample mean will be within +/ 14 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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