Question

An online retailer ships products from overseas with an advertised delivery date within 10 days. To test whether or not deliveries are made within the advertised time, a random sample of

n= 15 orders is selected. The sample mean delivery time is 12 days, and the sample standard deviation is 3 days. Does the evidence suggest that the mean delivery time is actually more than 10 days using a level of significance at 0.05?

**COMPLETE the 5-step process for solving tests of
hypotheses**

Answer #1

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 10

Alternative Hypothesis, Ha: μ > 10

Rejection Region

This is right tailed test, for α = 0.05 and df = 14

Critical value of t is 1.761.

Hence reject H0 if t > 1.761

Test statistic,

t = (xbar - mu)/(s/sqrt(n))

t = (12 - 10)/(3/sqrt(15))

t = 2.582

P-value Approach

P-value = 0.0109

As P-value < 0.05, reject the null hypothesis.

There is sufficient evidence to conclude that the the evidence suggest that the mean delivery time is actually more than 10

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