Stationary store owner knows the mean retail value of greeting cards

1. A stationary store owner knows the mean retail value of greeting cards last year was $2.50. She believes that the mean value of the cards this year has increased. Develop the null and alternative hypothesis most appropriate for this situation. (1 pt)
HO: μ “Click here to state the null hypothesis.”
HA: μ “Click here to state the alternativel hypothesis.”
2. Consider the following hypothesis test:
H_0: μ=25
H_A: μ≠25
A sample of 57 items provided a sample mean of 28.1. The population standard deviation is 8.46. use the critical value approach, at α = 0.05. Answer the following three questions. (1 pt, 1 pt, 1 pt)
a. “Click here and state the rejection rule”
b. “Click here to show the computed test statistic.”
c. “Click here to state if you reject or fail to reject the null hypothesis.”
3. Consider the following hypothesis test:
H_0: μ≤1200
H_A: μ>1200
A sample of 113 items provided a sample mean of 1215. The population standard deviation is 100. Use the p-value approach, at α = 0.05. Answer the following three questions. (1 pt, 1 pt, 1 pt)
a. “Click here and state the rejection rule”
b. “Click here to show the computed test statistic.”
c. “Click here to state if you reject or fail to reject the null hypothesis.”
4. A hole-punch machine is set to punch a hole 1.84 centimeters in diameter in a strip of sheet metal in a manufacturing process. It is important to future steps in the process that the hole be punched to the specified diameter of 1.84 centimeters. A sample of 12 strips of sheet metal produced a mean diameter of 1.85 centimeters and a sample standard deviation of 0.024 centimeters At α = 0.05 does this sample show evidence that the true mean diameter differs from 1.84 centimeters? Justify your answer using the t-distribution and the critical value approach. (2 pts)

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