Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean, based on the following sample size of n=5. 1, 2, 3, 4, and 23 In the given data, replace the value 23 with 5 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general. Find a 90% confidence interval for the population mean, using the formula or technology. ?≤μ≤? (Round to two decimal places as needed.) In the given data, replace the value 23 with 5. Find a 90% confidence interval for the population mean, using the formula or technology. ?≤μ≤? (Round to two decimal places as needed.) Using the results from the previous two steps, what is the effect of an outlier (that is, an extreme value) on the confidence interval, in general? A. The presence of an outlier in the original data increases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval. B. The presence of an outlier in the original data decreases the value of the sample mean and greatly decreases the sample standard deviation, narrowing the confidence interval. C. The presence of an outlier in the original data decreases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval. D. The presence of an outlier in the original data increases the value of the sample mean and greatly decreases the sample standard deviation, narrowing 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

Problem 1P

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Assuming that the population is normally distributed, construct a

90%

confidence interval for the population mean, based on the following sample size of n=5.

1, 2, 3,

and

In the given data, replace the value

with

and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general.

Find a

90%

confidence interval for the population mean, using the formula or technology.

?≤μ≤?

(Round to two decimal places as needed.)

In the given data, replace the value

with

Find a

90%

confidence interval for the population mean, using the formula or technology.

?≤μ≤?

(Round to two decimal places as needed.)

Using the results from the previous two steps, what is the effect of an outlier (that is, an extreme value) on the confidence interval, in general?

The presence of an outlier in the original data increases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval.

The presence of an outlier in the original data decreases the value of the sample mean and greatly decreases the sample standard deviation, narrowing the confidence interval.

The presence of an outlier in the original data decreases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval.

The presence of an outlier in the original data increases the value of the sample mean and greatly decreases the sample standard deviation, narrowing 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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