a. What is the probability that the sample mean will be within +/- 4 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 +/- 15 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

MATLAB: An Introduction with Applications
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A population has a mean of 200 and a standard deviation of 90. Suppose a sample of size 125 is selected and x is used to estimate
µ. Use z-table.
a. What is the probability that the sample mean will be within +/- 4 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 +/- 15 of the population mean (to 4 decimals)? (Round z value in
intermediate calculations to 2 decimal places.)
Transcribed Image Text:A population has a mean of 200 and a standard deviation of 90. Suppose a sample of size 125 is selected and x is used to estimate µ. Use z-table. a. What is the probability that the sample mean will be within +/- 4 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 +/- 15 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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