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Hypothesis Testing for a Single Population Times for a Table Dominick Aldo owns and operates Carolina’s...

Hypothesis Testing for a Single Population

Times for a Table

Dominick Aldo owns and operates Carolina’s which is an Italian restaurant in New York. The file Single Population.xlsx is shown below and contains the amount of time that table times varied from table to table.

A) Test the hypothesis that the average table time exceeds 98 minutes using 0.05α=.

B) What is the p-value? Interpret the results.

Be sure that your project shows the following steps

1.Null and alternative hypothesis

2.Determine which distribution to use for the test statistic.

3.Using data provided, calculate necessary sample statistics.

4.Draw a conclusion and interpret the decision.

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

Solutions

Expert Solution

Following table shows the calculations:

X (X-mean)^2
70 717.1684
80 281.5684
100 10.3684
90 45.9684
75 474.3684
60 1352.7684
70 717.1684
75 474.3684
110 174.7684
90 45.9684
100 10.3684
75 474.3684
60 1352.7684
75 474.3684
80 281.5684
75 474.3684
165 4653.9684
60 1352.7684
75 474.3684
90 45.9684
110 174.7684
95 3.1684
110 174.7684
150 2832.3684
50 2188.3684
70 717.1684
90 45.9684
110 174.7684
165 4653.9684
60 1352.7684
145 2325.1684
80 281.5684
115 331.9684
75 474.3684
50 2188.3684
90 45.9684
110 174.7684
90 45.9684
100 10.3684
110 174.7684
110 174.7684
85 138.7684
70 717.1684
145 2325.1684
120 539.1684
130 1103.5684
80 281.5684
90 45.9684
105 67.5684
105 67.5684
100 10.3684
95 3.1684
80 281.5684
100 10.3684
120 539.1684
130 1103.5684
75 474.3684
90 45.9684
70 717.1684
125 796.3684
80 281.5684
90 45.9684
95 3.1684
120 539.1684
150 2832.3684
195 9647.1684
70 717.1684
80 281.5684
110 174.7684
80 281.5684
80 281.5684
85 138.7684
90 45.9684
150 2832.3684
60 1352.7684
90 45.9684
135 1460.7684
170 5361.1684
85 138.7684
90 45.9684
120 539.1684
105 67.5684
60 1352.7684
70 717.1684
50 2188.3684
80 281.5684
100 10.3684
90 45.9684
135 1460.7684
120 539.1684
Total 8710 75415.556

---------------------

Since sample size is large so we can use z test even though we don't know the population standard deviation.

Conclusion: There is no evidence to conclude that the average table time exceeds 98 minutes .


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