21. During the last energy crisis, a government official claimed that the average owner refilled the tank when there was more than 3 gallons left. To check claim, 10 cars were surveyed as they entered a gas station. Assume that amount of gas remaining in tanks is normally distributed with a stanc deviation of 1 gallon. Compute the probability of a Type II error if the average amount of gas remaining in tanks is 3.5 (use Alpha=0.05)

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21. During the last energy crisis, a government official claimed that the average
owner refilled the tank when there was more than 3 gallons left. To check
claim, 10 cars were surveyed as they entered a gas station. Assume that
amount of gas remaining in tanks is normally distributed with a stand
deviation of 1 gallon. Compute the probability of a Type II error if the
average amount of gas remaining in tanks is 3.5 (use Alpha=0.05)
Transcribed Image Text:21. During the last energy crisis, a government official claimed that the average owner refilled the tank when there was more than 3 gallons left. To check claim, 10 cars were surveyed as they entered a gas station. Assume that amount of gas remaining in tanks is normally distributed with a stand deviation of 1 gallon. Compute the probability of a Type II error if the average amount of gas remaining in tanks is 3.5 (use Alpha=0.05)
Expert Solution
Step 1

Given : 

N= 10 cars 

According to question : 

Average owner refilled the tank when there was remaining more than 3 gallons left

 μ0 = 3 gallons 

We have to calculate probability of type 2nd error if average amount of gas remaining in tanks is 3.5 gallons.

μ = 3.5 gallons 

σ = 1 gallon 

 

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