Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample size of n = 5. 1, 2, 3, 4, and 19 D Change the number 19 to 5 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval. Find a 95% confidence interval for the population mean, using the formula or calculator. (Round to two decimal places as needed.) Change the number 19 to 5. Find a 95% confidence interval for the population mean, using the formula or calculator. (Round to two decimal places as needed.) What is the effect of an outlier on the confidence interval? O A. 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. O B. 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. OC. 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. O D. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample size of n= 5.
1, 2, 3, 4, and 19 D
Change the number 19 to 5 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval.
Find a 95% confidence interval for the population mean, using the formula or calculator.
sus (Round to two decimal places as needed.)
Change the number 19 to 5. Find a 95% confidence interval for the population mean, using the formula or calculator.
sus (Round to two decimal places as needed.)
What is the effect of an outlier on the confidence interval?
O A. 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.
B. 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.
C. 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.
D. 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.
Transcribed Image Text:Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample size of n= 5. 1, 2, 3, 4, and 19 D Change the number 19 to 5 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval. Find a 95% confidence interval for the population mean, using the formula or calculator. sus (Round to two decimal places as needed.) Change the number 19 to 5. Find a 95% confidence interval for the population mean, using the formula or calculator. sus (Round to two decimal places as needed.) What is the effect of an outlier on the confidence interval? O A. 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. B. 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. C. 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. D. 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.
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