A simple random sample of size $ n = 17 $ is drawn from a population that is normally distributed. The sample mean is found to be $ \bar{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.Travel Tax Data (in dollars):- 68.94- 79.19- 69.97- 84.72- 80.04- 85.62- 101.06- 98.61Click the icon to view the table of critical t-values.### Questions and Solutions:**(a) Determine a point estimate for the population mean travel tax.**A point estimate for the population mean travel tax is **$83.52**. (Rounded 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.** One can be [ ]% confident that all the cities have a travel tax 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.** There is a [ ]% probability that the mean travel tax for all cities is between $[ ] and $[ ]. The correct option must be selected and completed based on applied statistical analysis.

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Answered: A simple random sample of size n = 17…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be x = 121.2 and the sample standard deviation is found to be s = 12.6. Construct a 99% confidence interval for the population mean. The lower bound is (Round to two decimal places as needed.) The upper bound is . (Round to two decimal places as needed.)
Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with a standard deviation of 3 in. Jeremy takes a simple random sample of 16 such men and notices that none of them are unusually tall or unusually short. He then calculates the average of the sample to be 67 in. and is planning on using this to find a 90% z-confidence interval for the true mean height. Can Jeremy use this information to find the z-confidence interval? Complete the following sentences. The population distribution is and the population standard deviation is Therefore, the sample to find a 90% z-confidence interval.
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