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A carpet company advertises that it will deliver your carpet within 6 days of purchase. A...

A carpet company advertises that it will deliver your carpet within 6 days of purchase. A sample of 36 past customers is taken. The average delivery time in the sample was 6.8 days. The population standard deviation is known to be 2.7 days.
Test to determine if their advertisement is legitimate at a significance level 0.05. (Show all steps)

Math   Statistics-And-Probability   
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Answer #1

Null hypothesis: The delivery time for carpet is less than or equal to 6 days

Alternate hypothesis: The delivery time for carpet is more than 6 days

For one tailed ( right tailed ) for alpha = 0.05

z_c = 1.645

n = 3

Z = 1.78

Since, Z = 1.78 > z_c = 1.645 we reject the null hypothesis.

The delivery time for carpet is more than 6 days

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