The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 88 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. 68.74 79.38 70.94 84.71 79.74 85.74 100.91 98.02 LOADING... 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 $11.51 (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. One can be nothing% confident that the all cities have a travel tax between $nothing and $nothing. B. One can be nothing% confident that the mean travel tax for all cities is between $nothing and $nothing. C. There is a nothing% probability that the mean travel tax for all cities is between $nothing and $nothing. D. The travel tax is between $nothing and $nothing for nothing% of all cities. (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?

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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The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in

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.

68.74

79.38

70.94

84.71

79.74

85.74

100.91

98.02

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

$11.51

(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.)

One can be

nothing%

confident that the all cities have a travel tax between

$nothing

and

$nothing.

One can be

nothing%

confident that the mean travel tax for all cities is between

$nothing

and

$nothing.

There is a

nothing%

probability that the mean travel tax for all cities is between

$nothing

and

$nothing.

The travel tax is between

$nothing

and

$nothing

for

nothing%

of all cities.

(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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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