Apopulation has a mean of 200 and a standard deviation of 50. suppose a sample of size 100 is selected. what is the probability that the sample mean will be within latex: \pm±10 of the population mean?

0.9544

Step-by-step explanation:

As per given have ,

Population mean :

Standard deviation :

Sample size : n= 100

We assume that the population is normally distributed.

Let be the sample mean.

Now , the probability that the sample mean will be within ±10 of the population mean will be :-

Hence, the required probability is 0.9544.

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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