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?

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

#### Earn Coins

Coins can be redeemed for fabulous gifts.