n a random sample of 2121 people, the mean commute time to work was 33.633.6 minutes and the standard deviation was 7.27.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 9898% confidence interval for the population mean muμ. What is the margin of error of muμ? Interpret the results. Question content area bottom Part 1 The confidence interval for the population mean muμ is left parenthesis nothing comma nothing right parenthesis .enter your response here,enter your response here. (Round to one decimal place as needed.) Part 2 The margin of error of muμ is enter your response here. (Round to one decimal place as needed.) Part 3 Interpret the results. A. If a large sample of people are taken approximately 9898% of them will have commute times between the bounds of the confidence interval. B. With 9898% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. C. It can be said that 9898% of people have a commute time between the bounds of the confidence interval. D. With 9898% confidence, it can be said that the commute time is between the bounds of the confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question content area bottom

Part 1

The confidence interval for the population mean

muμ

is left parenthesis nothing comma nothing right parenthesis .enter your response here,enter your response here.

(Round to one decimal place as needed.)

Part 2

The margin of error of

muμ

enter your response here.

(Round to one decimal place as needed.)

Part 3

Interpret the results.

If a large sample of people are taken approximately

9898%

of them will have commute times between the bounds of the confidence interval.

With

9898%

confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

It can be said that

9898%

of people have a commute time between the bounds of the confidence interval.

With

9898%

confidence, it can be said that the commute time is between the bounds of the confidence interval.

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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