A simple random sample of size n = 17 is drawn from a population that is normally distributed. The sample mean is found to be x = 59 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A simple random sample of size n = 17 is drawn from a population that is normally distributed. The sample mean is
found to be x = 59 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about
the population mean.
The lower bound is
The upper bound is
(Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size n = 17 is drawn from a population that is normally distributed. The sample mean is found to be x = 59 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
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.
68.94 79.19 69.97 84.72 80.04 85.62 101.06 98.61
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 $83.52.
(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.)
% confident that the all cities have a travel tax between $
O A. One can be
B. The travel tax
and $ for
% of all cities.
OC.
One can be
% confident that the mean travel tax for all cities is between $
% probability that the mean travel tax for all cities is between $
D. There is a
is between $
and S
and $
and S
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. 68.94 79.19 69.97 84.72 80.04 85.62 101.06 98.61 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 $83.52. (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.) % confident that the all cities have a travel tax between $ O A. One can be B. The travel tax and $ for % of all cities. OC. One can be % confident that the mean travel tax for all cities is between $ % probability that the mean travel tax for all cities is between $ D. There is a is between $ and S and $ and S
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