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The manager of a paint supply store wants to estimate the actual amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer. The manufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.02 gallon. A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is 0.995 gallon.
a) Construct a 99% confidence interval estimate for the population mean amount of paint included in a 1-gallon can.
b) On the basis of these results, do you think that the manager has a right to complain to the manufacturer? Why?
c) Must you assume that the population amount of paint per can is normally distributed here? Explain
d) Construct a 95% confidence interval estimate. How does this change your answer to (b)?
You want to determine if the sample result gives good evidence that the true amount of the compound is not equal to 2 gms. Carry out the test, find the P-value, and state your conclusion.
Describe a business situation that you have had or might face that will benefit from the use of confidence intervals?
A well-established power-drink dispensing machine is programmed to dispense an average of 2.02 liters into a container labled"2 liters". Actual quantities are known to be normally distributed with a standard deviation of 0.015 liters. What is the ..
When a 99% confidence interval is calculated instead of a 90% confidence interval with n being the same, the margin of error will be
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A random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be μ = 8.76. What is the value of the test statistic?
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