Answered: The sample size is large enough. The…

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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A researcher wants to estimate the average time a person spends commuting to Boston. The researcher chooses a random sample of 22 people and finds that their average commute is 51 minutes with a standard deviation of 17 minutes. Assume that commute times are normally distributed.

(a) Why are we allowed to assume that the sampling distribution in this problem is approximately normal? (Select the correct answer)

The sample size is large enough.

The population is normally distributed.

The population standard deviation is known.

The margin of error is unknown.

(b) Which distribution should be used to find the critical value? (Select the correct answer.)

The z-distribution because ? is known.

The t-distribution because ? is unknown.

The z-distribution because the sample mean is large enough.

The t-distribution because the sample size is small.

lower limit
upper limit
margin of error

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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