The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in

8

randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.

67.85

79.32

70.35

83.42

80.68

86.37

101.91

98.61

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Part 1

(a) Determine a point estimate for the population mean travel tax.

A point estimate for the population mean travel tax is

$enter your response here.

(Round to two decimal places as needed.)

Part 2

(b) Construct and interpret a

95%

confidence interval for the mean tax paid for a three-day business trip.

Select the correct choice below and fill in the answer boxes

(Round to two decimal places as needed.)

A.

One can be

enter your response here%

confident that the mean travel tax for all cities is between

$enter your response here

and

$enter your response here.

B.

The travel tax is between

$enter your response here

and

$enter your response here

for

enter your response here%

of all cities.

C.

One can be

enter your response here%

confident that the all cities have a travel tax between

$enter your response here

and

$enter your response here.

D.

There is a

enter your response here%

probability that the mean travel tax for all cities is between

$enter your response here

and

$enter your response here.

Part 3(c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data?

A.

The researcher could decrease the sample standard deviation.

B.

The researcher could decrease the level of confidence.

C.

The researcher could increase the sample mean.

D.

The researcher could increase the level of confidence.