This Is The Original Question Test the hypothesis test that the average pizza de
ID: 3376717 • Letter: T
Question
This Is The Original Question
Test the hypothesis test that the average pizza delivery man in New York is more than DC by comparing the sample z-score to the critical z-score at a 0.05 significance level. Use the information listed below.
NY = sample 40, sample mean $52,378, standard deviation $6,812
DC = sample 42, sample mean $48,773, standard deviation $7,514
The Answer
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(1) H0: u1 - u2 < 0
H1: u1 - u2 > 0
(2) calculate standard error: (6,812 / 40)2 + (7,514 / 42)2 = 1,582.52
(3) calculate the difference between sample means = 52,378 - 48,773 = 3,605
(4) calculate sample z-score = 3,605 - 0 / 1,582.52 = 2.28
(5) answer: sample z-score 2.28 is greater than critical z-score 1.64 thus we reject the null and conclude that their is sufficient evidence to support the claim.
Class, verify the answer above by comparing the p-value to the level of significance of 0.05.
Explanation / Answer
As this is a right tailed test, then using table/technology, the right tailed area of z = 2.28 is
P = 0.011303844
As P < 0.05, then we REJECT THE NULL HYPOTHESIS.
There is significant evidence that the average pizza delivery man in New York is more than DC. [CONCLUSION]
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