Question

The *Consumer Reports* Restaurant Customer Satisfaction
Survey is based upon 148,599 visits to full-service restaurant
chains.† One of the variables in the study is meal price, the
average amount paid per person for dinner and drinks, minus the
tip. Suppose a reporter for a local newspaper thought that it would
be of interest to her readers to conduct a similar study for
restaurants located in her city. The reporter selected a sample of
8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses.
The following data show the meal prices ($) obtained for the 24
restaurants sampled.

Italian | Seafood | Steakhouse |
---|---|---|

$12 | $17 | $23 |

12 | 18 | 19 |

15 | 16 | 24 |

18 | 25 | 24 |

18 | 23 | 20 |

19 | 15 | 22 |

16 | 19 | 26 |

26 | 19 | 34 |

Use *α* = 0.05 to test whether there is a significant
difference among the mean meal price for the three types of
restaurants.

State the null and alternative hypotheses.

*H*_{0}: *μ*_{Italian} ≠
*μ*_{Seafood} ≠
*μ*_{Steakhouse}

*H*_{a}: *μ*_{Italian} =
*μ*_{Seafood} = *μ*_{Steakhouse}

*H*_{0}: *μ*_{Italian} =
*μ*_{Seafood} =
*μ*_{Steakhouse}

*H*_{a}: *μ*_{Italian} ≠
*μ*_{Seafood} ≠
*μ*_{Steakhouse}

*H*_{0}: Not all the population means are
equal.

*H*_{a}: *μ*_{Italian} =
*μ*_{Seafood} = *μ*_{Steakhouse}

*H*_{0}: *μ*_{Italian} =
*μ*_{Seafood} =
*μ*_{Steakhouse}

*H*_{a}: Not all the population means are equal.

*H*_{0}: At least two of the population means are
equal.

*H*_{a}: At least two of the population means are
different.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the *p*-value. (Round your answer to four decimal
places.)

*p*-value =

What is your conclusion?

Do not reject *H*_{0}. There is sufficient
evidence to conclude that the mean meal prices are not all the same
for the three types of restaurants.

Reject *H*_{0}. There is not sufficient evidence
to conclude that the mean meal prices are not all the same for the
three types of restaurants.

Do not reject *H*_{0}. There is not sufficient
evidence to conclude that the mean meal prices are not all the same
for the three types of restaurants.

Reject *H*_{0}. There is sufficient evidence to
conclude that the mean meal prices are not all the same for the
three types of restaurants.

Answer #1

(1) The null and alternative hypotheses:

H0: μItalian = μSeafood = μSteakhouse

Ha: Not all the population means are equal

(2) The value of the test statistic = 5.84

(3) p-value = 0.0096

(4) Conclusion: Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

ANOVA Test Summary:

The Consumer Reports Restaurant Customer Satisfaction Survey is
based upon 148,599 visits to full-service restaurant chains
(Consumer Reports website, February 11, 2009). Assume the following
data are representative of the results reported. The variable type
indicates whether the restaurant is an Italian restaurant or a
seafood/steakhouse. Price indicates the average amount paid per
person for dinner and drinks, minus the tip. Score reflects diners’
overall satisfaction, with higher values indicating greater overall
satisfaction. A score of 80 can be interpreted...

The Chart Listed Is The Only Info You Need
(Anderson et al. 2015) A sample of 8 seafood restaurants, 8
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Use level of significance 0.05 to test whether there is a
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Treatments
A
B
C
Blocks
1
10
9
8
2
12
6
5
3
18
16
14
4
20
18
18
5
8
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8
Use α = 0.05 to test for any significant
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State the null and alternative hypotheses.
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Treatments
A
B
C
Blocks
1
10
9
8
2
12
7
5
3
18
15
14
4
20
18
18
5
8
7
8
Use α = 0.05 to test for any significant
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91
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84
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1
2
3
19
29
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