Size of the Tip in a Restaurant

The datasetRestaurantTipshas information fromFirst Crushbistro in northern New York state. Computer output of descriptive statistics for the variable giving the size of the tip is shown:

VariableNN

*

MeanSE

MeanStDevMinimumQ

1

MedianQ

3

MaximumTip15703.8490.1932.4210.2502.0503.3505.00015.000

Clickherefor the dataset associated with this question.

a) How many tips are included in the dataset? What is the mean? What is the standard deviation?

Enter the exact answers.

n

=

Enter your answer in accordance to item (a) of the question statement

x

=

Enter your answer in accordance to item (a) of the question statement

s

=

Enter your answer in accordance to item (a) of the question statement

b) Compute the standard error for the mean using the formulaSE

=

s

n

. Compare the result to the value given under "SE

Mean" in the computer output.

Round your answer to three decimal places.

SE

=

Enter your answer in accordance to the question statement

This isChoose the answer from the menu in accordance to the question statement

the same asdifferent from

the value given in the computer output.

the absolute tolerance is +/-0.001

(c) Use the summary statistics to compute a95

%

confidence interval for the average tip given at this restaurant.

Round your answers to three decimal places.

The95

%

confidence interval isEnter your answer in accordance to item (c) of the question statement

toEnter your answer in accordance to item (c) of the question statement

(d) Compare the answer in part (c) to the confidence interval given in the following computer output for the same data:

One-Sample T: TipVariableNMeanStDevSE

Mean95

%

CITip1573.8492.4210.193(

3.468

,

4.231

)

The same up to round-off error

Different

.