CNNBC recently reported that the mean annual cost of auto insurance is 974 dollars. Assume the standard deviation is 153 dollars. You will use a simple random sample of 144 auto insurance policies. Find the probability that a single randomly selected policy has a mean value between 957.4 and 972.7 dollars. P(957.4

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CNNBC recently reported that the mean annual cost of auto insurance is 974 dollars. Assume the
standard deviation is 153 dollars. You will use a simple random sample of 144 auto insurance
policies.
Find the probability that a single randomly selected policy has a mean value between 957.4 and
972.7 dollars.
P(957.4 <X< 972.7) =
Find the probability that a random sample of sizen = 144 has a mean value between 957.4 and
972.7 dollars.
P(957.4 < M < 972.7) = |
Enter your answers as numbers accurate to 4 decimal places.
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 974 dollars. Assume the standard deviation is 153 dollars. You will use a simple random sample of 144 auto insurance policies. Find the probability that a single randomly selected policy has a mean value between 957.4 and 972.7 dollars. P(957.4 <X< 972.7) = Find the probability that a random sample of sizen = 144 has a mean value between 957.4 and 972.7 dollars. P(957.4 < M < 972.7) = | Enter your answers as numbers accurate to 4 decimal places.
Expert Solution
Step 1

We have given that 

X~N( μ , ?^2 )
 
 μ = 974    , ? =153 
 
Z-score =( x - μ )/?
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