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 $13 $16 $25 14 18 19 16 18 23 18 25 25 17 24 20 21 16 22 18 19 28 11 24 30 Use ? = 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. H0: ?Italian = ?Seafood = ?Steakhouse Ha: ?Italian ≠ ?Seafood ≠ ?Steakhouse H0: ?Italian ≠ ?Seafood ≠ ?Steakhouse Ha: ?Italian = ?Seafood = ?Steakhouse H0: Not all the population means are equal. Ha: ?Italian = ?Seafood = ?Steakhouse H0: ?Italian = ?Seafood = ?Steakhouse Ha: Not all the population means are equal. H0: At least two of the population means are equal. Ha: 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? Reject H0. 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 H0. 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 H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants. Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

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 $13 $16 $25 14 18 19 16 18 23 18 25 25 17 24 20 21 16 22 18 19 28 11 24 30 Use ? = 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. H0: ?Italian = ?Seafood = ?Steakhouse Ha: ?Italian ≠ ?Seafood ≠ ?Steakhouse H0: ?Italian ≠ ?Seafood ≠ ?Steakhouse Ha: ?Italian = ?Seafood = ?Steakhouse H0: Not all the population means are equal. Ha: ?Italian = ?Seafood = ?Steakhouse H0: ?Italian = ?Seafood = ?Steakhouse Ha: Not all the population means are equal. H0: At least two of the population means are equal. Ha: 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? Reject H0. 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 H0. 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 H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants. Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

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Description: 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. Su

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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
$13	$16	$25
14	18	19
16	18	23
18	25	25
17	24	20
21	16	22
18	19	28
11	24	30

Use ? = 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.

H₀: ?_Italian = ?_Seafood = ?_Steakhouse
H_a: ?_Italian ≠ ?_Seafood ≠ ?_Steakhouse

H₀: ?_Italian ≠ ?_Seafood ≠ ?_Steakhouse
H_a: ?_Italian = ?_Seafood = ?_Steakhouse

H₀: Not all the population means are equal.
H_a: ?_Italian = ?_Seafood = ?_Steakhouse

H₀: ?_Italian = ?_Seafood = ?_Steakhouse
H_a: Not all the population means are equal.

H₀: 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?

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

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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