CNNBC recently reported that the mean annual cost of auto insurance is 1035 dollars. Assume the standard deviation is 250 dollars. You take a simple random sample of 90 auto insurance policies. Find the probability that a single randomly selected value is less than 971 dollars. P(X < 971) = Find the probability that a sample of size n=90n=90 is randomly selected with a mean less than 971 dollars. P(M < 971) = Enter your answers as numbers accurate to 4 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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CNNBC recently reported that the mean annual cost of auto insurance is 1035 dollars. Assume the standard deviation is 250 dollars. You take a simple random sample of 90 auto insurance policies.

Find the probability that a single randomly selected value is less than 971 dollars.
P(X < 971) = 

Find the probability that a sample of size n=90n=90 is randomly selected with a mean less than 971 dollars.
P(M < 971) = 

Enter your answers as numbers accurate to 4 decimal places. 

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