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The shift supervisor of a pizza parlor claimed that the population mean total time to deliver a pizza is exactly 45 minutes. Paige, the owner, would like to find evidence that the population mean total time to deliver a pizza is less than 45 minutes so she records the total delivery time of 71 randomly selected deliveries and she finds that the sample mean is 44.06 minutes with a sample standard deviation of 3.46 minutes. The test statistic t for a hypothesis test of H0:μ=45 versus Ha:μ<45 is t≈−2.29. If 0.01 a. Reject he null hypothesis that the true population mean total time to deliver a pizza is equal to 45 minutes.
b. Fail to reject the null hypothesis that the true population mean total time to deliver a pizza is equal to 45 minutes.
c. There s not enough evidence at the r = 0.05 level of significance to suggest that the true population mean total time to deliver a pizza is not equal to 45 minutes.
d. There is enough evidence at the a 005 level of significance to support the claim that the true population total time to deliver a pizza is less than 45 minutes

Respuesta :

Answer:

Step-by-step explanation:

Given that

H0:μ=45 versus Ha:μ<45

Sample mean = 44.06 and s = sample std dev =3.46

t statistic = -2.29

Degree of freedom = n-1 = 71-1=70

p value = 0.0134

Since p value >0.01, accept null hypothesis.

For 5% significance level, we have p <0.05 so reject null hypothesis.

Conclusion:

d. There is enough evidence at the a 0.05 level of significance to support the claim that the true population total time to deliver a pizza is less than 45 minutes

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