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?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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