Assuming that the population normally distributed. construct a 95% confidence in
ID: 3252666 • Letter: A
Question
Assuming that the population normally distributed. construct a 95% confidence interval for the population mean, based on the following sample size of n = 8. 1, 2, 3, 4, 5, 6, 7, and 16 Change the number 16 to 8 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 technology. lessthanorequalto mu lessthanorequalto (Round to two decimal places as needed.) Change the number 16 to 8. Find a 95% confidence interval for the population mean, using the formula or technology. lessthanorequalto mu lessthanorequalto (Round to two decimal places as needed.) What is the effect of an outlier on the confidence interval? A. The presence of an outlier in the original data decreases the value of the sample mean and greatly in fetes the sample standard deviation, widening the confidence interval. B. 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. C. 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. 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.Explanation / Answer
SAMPLE:
1,2,3,4,5,6,7,16
N=8
SAMPLE MEAN=5.5
SAMPLE SD=4.690416
95% cONFIDENCE INTERVAL FOR MEAN I SGIVEN BY X BAR=SAMPLE MEAN
S=SAMPLE STD DEV
N=SAMPLE SIZE
95% CONFIDENCE INTERVAL IS 1.58 TO 9.42
1.58<<9.42
SAMPLE:1,2,3,4,5,6,7,8
n=8
sample mean xbar=4.5
sample sd=2.44949
95% CI for mean is 2.45 and 6.55
2.45<<6.55
effect of outlier is increases sample mean decreases sd increases CI RANGE.
ANSWER D