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A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.

a) When performing an ANOVA with this data, what is the alternative hypothesis?

- All of the restaurants have different mean delivery times

- At least two of the restaurants have different mean delivery times

- Two of the restaurants have different mean delivery times

- One of the restaurants has a different mean delivery time than the others


b) A partial ANOVA table for his data is shown below. What is the value of B?

Source DF SS MS F P-value
Treatment B 19.31 D F G
Error C 15.667 E
Total 18 34.977



What is the value of C in the ANOVA table?

d) What is the value of D in the ANOVA table? Give your answer to three decimal places.

e) What is the value of E in the ANOVA table? Give your answer to three decimal places.

f) What is the value of F in the ANOVA table? Give your answer to two decimal places.

g) What is the value of G in the ANOVA table? Give your answer to four decimal places.


h) Using a 0.1 level of significance, what should his conclusion be in this case?

- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.1.

- He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.1.

- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.1.

- He should conclude that at all of the restaurants have the same mean delivery times because the P- value is less than 0.1.

Sagot :

There are at least two restaurants with varying mean delivery times. The required hypothesis are ,

H0: The mean delivery time for all restaurants is the same.

H1: The average delivery time varies between at least two restaurants.

If the data are put through an ANOVA, a different mean delivery time for at least two of the restaurants would be the alternative hypothesis.

According to the alternative hypothesis (Ha), there is a significant statistical association between two variables. As opposed to the null hypothesis, which claims that there is no statistical connection between the two variables.

The analysis of variance procedure, or ANOVA, includes examining the validity of mean hypotheses in light of variances. The equality mean, or H0. All means are equal, is used as the null hypothesis in an ANOVA. Alternative hypothesis, however, includes at least two means that are not equal.

To know more about hypothesis

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