oo T-Mobile 9:26 PM Exit Question 1 1 pts The mean salary of people living in a

Question

oo T-Mobile 9:26 PM Exit Question 1 1 pts The mean salary of people living in a certain city is $37500 with a standard deviation of $1709. A sample of 58 people is selected at random from those living in the city. Find the probability that the mean income of the sample is less than $38000. Round your answer to 4 decimal places. Question2 1 pts The mean salary of people living in a certain city is $37500 with a standard deviation of $2112. A sample of 42 people is selected at random from those living in the city. Find the probability that the mean income of the sample is within $500 of the population mean Round your answer to 4 decimal places.

Explanation / Answer

Question 1:

the mean salary of people living in a certain city is $37500 with a standard deviation of $1709

finding the z-score

z=38000-37500/1709
=500/1709
=0.2925

Probability that the mean income sample less than $38000

P ( Z<0.2925 ) using standard normal table
=0.6141

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