question archive A carpet company advertises that it will deliver your carpet within 15 days of purchase
A carpet company advertises that it will deliver your carpet within 15 days of purchase
Subject:StatisticsPrice:3.87 Bought7
A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. The standard deviation of the population (σ) is known to be 5.6 days.
a. State the null and alternative hypotheses.
b. Using the critical value approach, test to determine if their advertisement is legitimate. Let α = .05.
c. Using the p-value approach, test the hypotheses at the 5% level of significance.
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Answer:
a)
H0: μ>=15
H1: μ<15
b)
Calculated/Test statistic z value = (16.2 - 15) / (5.6 /sqrt 49) = 1.5
ZCRIT value is 1.6449 and since calculated test statistic is 1.5 and is less than 1.64, H0 cannot be rejected. Hence company’s claim is not legitimate
c)
The P-Value is 0.066807.
The result is not significant at p < 0.05.
