Question

Times for a Table Dominick Aldo owns and operates Carolina’s which is an Italian restaurant in...

Times for a Table

Dominick Aldo owns and operates Carolina’s which is an Italian restaurant in New York. The Excel file Single Population.xlsx is shown below and contains the amount of time that table times varied from table to table. Test the hypothesis that the average table time exceeds 98 minutes using α = 0.05. What is the p-value? Interpret the results.

Time
50
50
50
60
60
60
60
60
60
70
70
70
70
70
70
70
75
75
75
75
75
75
75
75
80
80
80
80
80
80
80
80
80
80
85
85
85
90
90
90
90
90
90
90
90
90
90
90
90
90
95
95
95
100
100
100
100
100
100
105
105
105
110
110
110
110
110
110
110
110
115
120
120
120
120
120
125
130
130
135
135
145
145
150
150
150
165
165
170
195

       (Step 1)     Identify the Null Hypothesis ad Alternative Hypothesis

(Step 2)     Calculate the test statistic

(Step 3)    Calculate the p-value and critical value

(Step 4)     What is your conclusion about the Null Hypothesis?

(Step 5)    What is your final conclusion about the Original Claim?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

Identify the Null Hypothesis ad Alternative Hypothesis

Calculate the test statistic.

The test statistic is:

Where:

The critical value is:

What is your conclusion about the Null Hypothesis?

Answer: Since the test statistic does not fall in the rejection region, we, therefore, fail to reject the null hypothesis.

What is your final conclusion about the Original Claim?

Answer: Since we fail to reject the null hypothesis, therefore, there is not sufficient evidence to support the claim that the average table time exceeds 98 minutes

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