In a random sample of seven people, the mean driving distance to work was 20.2 miles and the standard deviation was 5.8 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean μ is (12.1, 28.3) (and the margin of error is 8.1). Through research, it has been found that the population standard deviation of driving distances to work is 4.3. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Question content area bottom Part 1 Identify the margin of error. enter your response here ▼ square miles miles per hour miles (Round to one decimal place as needed.) Part 2 Construct a 99% confidence interval for the population mean. (enter your response here,enter your response here) (Round to one decimal place as needed.) Part 3 Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. With enter your response here% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. B. enter your response here% of all random samples of seven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. C. With enter your response here% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. D. It can be said that enter your response here% of the population has a driving distance to work (in miles) that is between the interval's endpoints. Part 4 Compare these results to the results that used the t-distribution. The new confidence interval is ▼ narrower than as wide as wider than the confidence interval that used the t-distribution and has ▼ the same a greater a lesser center.

In a random sample of seven people, the mean driving distance to work was 20.2 miles and the standard deviation was 5.8 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean μ is (12.1, 28.3) (and the margin of error is 8.1). Through research, it has been found that the population standard deviation of driving distances to work is 4.3. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Question content area bottom Part 1 Identify the margin of error. enter your response here ▼ square miles miles per hour miles (Round to one decimal place as needed.) Part 2 Construct a 99% confidence interval for the population mean. (enter your response here,enter your response here) (Round to one decimal place as needed.) Part 3 Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. With enter your response here% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. B. enter your response here% of all random samples of seven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. C. With enter your response here% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. D. It can be said that enter your response here% of the population has a driving distance to work (in miles) that is between the interval's endpoints. Part 4 Compare these results to the results that used the t-distribution. The new confidence interval is ▼ narrower than as wide as wider than the confidence interval that used the t-distribution and has ▼ the same a greater a lesser center.

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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Question content area bottom

Part 1

Identify the margin of error.

enter your response here

▼

square miles

miles per hour

miles

(Round to one decimal place as needed.)

Part 2

Construct a

99%

confidence interval for the population mean.

(enter your response here,enter your response here)

(Round to one decimal place as needed.)

Part 3

Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

With

enter your response here%

confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.

enter your response here%

of all random samples of

seven

people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.

With

enter your response here%

confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.

It can be said that

enter your response here%

of the population has a driving distance to work (in miles) that is between the interval's endpoints.

Part 4

Compare these results to the results that used the t-distribution.

The new confidence interval is

▼

narrower than

as wide as

wider than

the confidence interval that used the t-distribution and has

▼

the same

a greater

a lesser

center.

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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