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. 68.96 79.34 68.73 83.06 80.97 86.38 100.84 99.57 Click the icon to view the table of critical t-values. (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. One can be % confident that the mean travel tax for all cities is between $ and $ O B. There is a % probability that the mean travel tax for all cities is between $ and $ O C. The travel tax is between $and $ for % of all cities. O D. One can be % confident that the all 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? O A. The researcher could decrease the level of confidence. O B. The researcher could increase the level of confidence. O C. The researcher could decrease the sample standard deviation. O D. The researcher could increase the sample mean.

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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.
68.96 79.34
68.73
83.06 80.97
86.38
100.84
99.57
Click the icon to view the table of critical t-values.
(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. One can be % confident that the mean travel tax for all cities is between $ and $
O B. There is a % probability that the mean travel tax for all cities
between $ and $
O C. The travel tax is between $ and $ for % of all cities.
O D. One can be % confident that the all 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?
O A. The researcher could decrease the level of confidence.
O B. The researcher could increase the level of confidence.
O C. The researcher could decrease the sample standard deviation.
O 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. 68.96 79.34 68.73 83.06 80.97 86.38 100.84 99.57 Click the icon to view the table of critical t-values. (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. One can be % confident that the mean travel tax for all cities is between $ and $ O B. There is a % probability that the mean travel tax for all cities between $ and $ O C. The travel tax is between $ and $ for % of all cities. O D. One can be % confident that the all 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? O A. The researcher could decrease the level of confidence. O B. The researcher could increase the level of confidence. O C. The researcher could decrease the sample standard deviation. O D. The researcher could increase the sample mean.
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