(a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (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 to complete your choice. (Round to two decimal places as needed.) O A. There is a % probability that the mean travel tax for all cities is between $ and $ O B. The travel tax is between $ and $ for % of all cities. O C. One can be % confident that the mean travel tax for all cities is between $ and $

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Chapter1: Starting With Matlab
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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.

Travel tax data: 67.64, 78.83, 69.18, 84.13, 80.07, 83.35, 100.58, 97.87

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

A point estimate for the population mean travel tax is $ [ ].

(Round to two decimal places as needed.)

(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 to complete your choice.

(Round to two decimal places as needed.)

- A. There is a [ ] % probability that the mean travel tax for all cities is between $ [ ] and $ [ ].
- B. The travel tax is between $ [ ] and $ [ ] for [ ] % of all cities.
- C. One can be [ ] % confident that the mean travel tax for all cities is between $ [ ] and $ [ ].
- D. One can be [ ] % confident that all the cities have a travel tax between $ [ ] and $ [ ].

(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 increase the level of confidence.
- C. The researcher could decrease the level of confidence.
- D. The researcher could increase the sample mean.
Transcribed Image Text: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. Travel tax data: 67.64, 78.83, 69.18, 84.13, 80.07, 83.35, 100.58, 97.87 (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ [ ]. (Round to two decimal places as needed.) (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 to complete your choice. (Round to two decimal places as needed.) - A. There is a [ ] % probability that the mean travel tax for all cities is between $ [ ] and $ [ ]. - B. The travel tax is between $ [ ] and $ [ ] for [ ] % of all cities. - C. One can be [ ] % confident that the mean travel tax for all cities is between $ [ ] and $ [ ]. - D. One can be [ ] % confident that all the cities have a travel tax between $ [ ] and $ [ ]. (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 increase the level of confidence. - C. The researcher could decrease the level of confidence. - D. The researcher could increase the sample mean.
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