Using the table attached and information given, answer the following questions:You want to test whether there is a difference in the population mean number of deliveries between the 3 restaurants. Which of the following is the correct statement of the hypothesis test?A. Ho: u1=u2=u3 Ha: All of the means are different B. Ho: u1-u2-u3=0 Ha: At least two of the means are different C. Ho: u1=u2=u3 Ha: At least two of the means are different D. Ho: u = 0 Ha u=/= 0For the test specified in question 1, the associated test statistic will follow a: A. Z-distribution B. Student's t-distribution C. Uniform distribution D. F-distributionThe associated test statistic for the test specified in question 1 is equal to what? (Rounded to two decimal points)The associated p-value for the test specified in question 1 is equal to what? (Round to 4 decimal points)What is the correct decision based on your results above using a 5% level of significance? A. Fail to reject Ho, there is evidence of a difference in the population means. B. Fail to reject Ho, there is no evidence of a difference in the population means. C. Reject Ho, there is no evidence of a difference in the population means. D. Reject Ho, there is evidence of a difference in the population means. Domino'sPizza HutPapa John's16218076123139901411101429110710418198821778770128120101144112136138132991529492119127132The mean number of deliveries for the full sample is equal to 120.79The mean number of deliveries for Domino's is equal to 141.45The mean number of deliveries for Pizza Hut is equal to 118.72The mean number of deliveries for Papa John's is equal to 102.18The total sum of squares is equal to 28,235.52

Step 1: State the Hypotheses We want to test whether there is a difference in the population mean…

Answered: Domino's Pizza Hut Papa John's 162 180…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 3GP

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Question

Using the table attached and information given, answer the following questions:

You want to test whether there is a difference in the population mean number of deliveries between the 3 restaurants. Which of the following is the correct statement of the hypothesis test?
A. Ho: u₁=u₂=u₃ Ha: All of the means are different B. Ho: u₁-u₂-u₃=0 Ha: At least two of the means are different C. Ho: u₁=u₂=u₃ Ha: At least two of the means are different D. Ho: u = 0 Ha u=/= 0
For the test specified in question 1, the associated test statistic will follow a: A. Z-distribution B. Student's t-distribution C. Uniform distribution D. F-distribution
The associated test statistic for the test specified in question 1 is equal to what? (Rounded to two decimal points)
The associated p-value for the test specified in question 1 is equal to what? (Round to 4 decimal points)
What is the correct decision based on your results above using a 5% level of significance? A. Fail to reject Ho, there is evidence of a difference in the population means. B. Fail to reject Ho, there is no evidence of a difference in the population means. C. Reject Ho, there is no evidence of a difference in the population means. D. Reject Ho, there is evidence of a difference in the population means.

Domino's
Pizza Hut
Papa John's
162
180
76
123
139
90
141
110
142
91
107
104
181
98
82
177
87
70
128
120
101
144
112
136
138
132
99
152
94
92
119
127
132
The mean number of deliveries for the full sample is equal to 120.79
The mean number of deliveries for Domino's is equal to 141.45
The mean number of deliveries for Pizza Hut is equal to 118.72
The mean number of deliveries for Papa John's is equal to 102.18
The total sum of squares is equal to 28,235.52

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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