Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons sold follows the normal distribution with a population standard deviation of 2.00 gallons. From his records, he selects a random sample of 65 sales and finds the mean number of gallons sold is 9.10.a) What is the point estimate of the population mean? (Round your answer to 2 decimal places.) b) Develop a 98% confidence interval for the population mean. (Use z Distribution Table.) (Round your answers to 2 decimal places.)confidence interval _______and ___________

Question
Asked Nov 7, 2019

Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons sold follows the normal distribution with a population standard deviation of 2.00 gallons. From his records, he selects a random sample of 65 sales and finds the mean number of gallons sold is 9.10.

a) What is the point estimate of the population mean? (Round your answer to 2 decimal places.)

 

b) Develop a 98% confidence interval for the population mean. (Use z Distribution Table.) (Round your answers to 2 decimal places.)

confidence interval _______and ___________

 

 

 

check_circleExpert Solution
Step 1

Given:

X: number of gallons of gasoline sold to customers.

Sample mean
= 9.10
Sample size
n = 65
Population standard deviation= o
2
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Sample mean = 9.10 Sample size n = 65 Population standard deviation= o 2

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Step 2

a)Point estimate of the population mean:

Here, X follows normal distribution with mean μ and population standard deviation σ.

If X follows normal distribution with mean μ then point estimate of population mean is sample mean.

Therefore
9.10
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Therefore 9.10

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Step 3

b) To find 98% confidence interval for the population mean using z-distribution.

Confidence level = 0.98

Level of...

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