Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. TInterval (13.046,22.15) x overbar equals 17.598 Sxequals 16.01712719 nequals 50 a. Express the confidence interval in the format that uses the "less than" symbol. Given that the original listed data use one decimal place, round the confidence interval limits accordingly. nothing Mbpsless than muless thannothing Mbps (Round to two decimal places as needed.) b. Identify the best point estimate of mu and the margin of error. The point estimate of mu is nothing Mbps. (Round to two decimal places as needed.) The margin of error is Eequals nothing Mbps. (Round to two decimal places as needed.) c. In constructing the confidence interval estimate of mu , why is it not necessary to confirm that the sample data appear to be from a population with a normal distribution? A. Because the sample is a random sample, the distribution of sample means can be treated as a normal distribution. B. Because the sample size of 50 is greater than 30, the distribution of sample means can be treated as a normal distribution. C. Because the population standard deviation is known, the normal distribution can be used to construct the confidence interval. D. Because the sample standard deviation is known, the normal distribution can be used to construct the confidence interval

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below.	TInterval
(13.046,22.15) x overbar

equals

17.598

Sxequals

16.01712719

nequals

a. Express the confidence interval in the format that uses the "less than" symbol. Given that the original listed data use one decimal place, round the confidence interval limits accordingly.

nothing

Mbpsless than

muless thannothing

Mbps

(Round to two decimal places as needed.)

b. Identify the best point estimate of

and the margin of error.

The point estimate of

nothing

Mbps.

(Round to two decimal places as needed.)

The margin of error is

Eequals

nothing

Mbps.

(Round to two decimal places as needed.)

c. In constructing the confidence interval estimate of

why is it not necessary to confirm that the sample data appear to be from a population with a normal distribution?

Because the sample is a random sample, the distribution of sample means can be treated as a normal distribution.

Because the sample size of 50 is greater than 30, the distribution of sample means can be treated as a normal distribution.

Because the population standard deviation is known, the normal distribution can be used to construct the confidence interval.

Because the sample standard deviation is known, the normal distribution can be used to construct the confidence interval

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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