Question

1. A department of motor vehicles office claims that the mean wait time is less than 14 minutes. A random sample of 10 people has a mean wait time of 13 minutes with a standard deviation of 3.5 minutes. At = 0.10, test the office’s claim. Assume the population is normally distributed.

2.  Deck of cards question: What is the probability of having a full house? Full house = 3 cards of the same number or face value plus any other two cards of the same number of face value.

Answer 1

1) NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

alpha=0.1

t= 13-14/3.5/sqrt(10)

t= -1/3.5/3.16

t= -1/1.11

t= -0.90

degree of freedom= n-1=10-1=9

The p-value is 0.195783.The result is not significant because p > .10.

Decision: FAIL TO REJECT NULL HYPOTHESIS H0.

Conclusion: We don't have sufficient evidence to conclude that the mean wait time is less than 14 minutes at 0.1 level of significance.

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