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A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate µ.
 
(a) What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?
(b) What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

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JCLv4
10 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Consider the following hypothesis test:

H0: µ = 20
Ha: µ < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals).

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