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Unit C, Exercise C.018 Restaurant Tips This question refers to the dataset Resta

ID: 3054676 • Letter: U

Question

Unit C, Exercise C.018 Restaurant Tips

This question refers to the dataset RestaurantTips. The data include information from a sample of 157 restaurant bills collected at the First Crush bistro.
Click here for the dataset associated with this question.
Table 1 gives summary statistics for the tip percentage based on whether or not a credit card was used.

Table 1 Summary statistics for tip percent by method of payment

1)In the sample, which method of payment has a larger average tip percent? Cash, or Credit or Debit, or neither

2)Which method has more variability? Cash, or Credit or Debit, or neither

3)Is there evidence of a difference in mean tip percentage depending on the method of payment? Yes or NO

Credit? Sample Size Mean Std. Dev. Yes 51 17.10 2.47 No 106 16.39 5.05

Explanation / Answer

Result:

Unit C, Exercise C.018 Restaurant Tips

This question refers to the dataset RestaurantTips. The data include information from a sample of 157 restaurant bills collected at the First Crush bistro.
Click here for the dataset associated with this question.
Table 1 gives summary statistics for the tip percentage based on whether or not a credit card was used.

Credit?

Sample Size

Mean

Std. Dev.

Yes

51

17.10

2.47

No

106

16.39

5.05

Table 1 Summary statistics for tip percent by method of payment

1)In the sample, which method of payment has a larger average tip percent?

Credit

2)Which method has more variability?

Cash

3)Is there evidence of a difference in mean tip percentage depending on the method of payment?

NO

Pooled-Variance t Test for the Difference Between Two Means

(assumes equal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample

Sample Size

51

Sample Mean

17.1

Sample Standard Deviation

2.47

Population 2 Sample

Sample Size

106

Sample Mean

16.39

Sample Standard Deviation

5.05

Intermediate Calculations

Population 1 Sample Degrees of Freedom

50

Population 2 Sample Degrees of Freedom

105

Total Degrees of Freedom

155

Pooled Variance

19.2439

Standard Error

0.7476

Difference in Sample Means

0.7100

t Test Statistic

0.9497

Two-Tail Test

Lower Critical Value

-1.9754

Upper Critical Value

1.9754

p-Value

0.3437

Do not reject the null hypothesis

Credit?

Sample Size

Mean

Std. Dev.

Yes

51

17.10

2.47

No

106

16.39

5.05

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