The accompanying data represent the total travel tax(in dollars) for a3-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.

67.62

78.21

69.36

83.35

80.37

86.46

101.23

98.82

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Click the icon to view the table of criticalt-values.

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

A point estimate for the population mean travel tax is $

83.17

83.17.

(Round to two decimal places asneeded.)

(b) Construct and interpret a 95% confidence interval for the mean tax paid for athree-day business trip.

Select the correct choice

(Round to two decimal places asneeded.)

A.

One can be

nothing

% confident that the mean travel tax for all cities is between $

nothing

and$

nothing

.

B.

There is a

nothing

% probability that the mean travel tax for all cities is between $

nothing

and $

nothing

.

C.

The travel tax is between $

nothing

and $

nothing

for

nothing

% of all cities.

D.

One can be

nothing

% confident that the all cities have a travel tax between $

nothing

and $

nothing

.

(c) What would you recommend to a researcher who wants to increase the precision of theinterval, but does not have access to additionaldata?

A.

The researcher could increase the sample mean.

B.

The researcher could decrease the level of confidence.

C.

The researcher could increase the level of confidence.

D.

The researcher could decrease the sample standard deviation.