A.) construct a 95% confidence interval about the mean if the sample size, n, is

Question

A.) construct a 95% confidence interval about the mean if the sample size, n, is 34 B.) construct a 95% confidence interval about the mean if the sample size n, is 61. How does increasing the sample size affect tgr margin of error, E? - the margin of error increases - the margin of error does not change -the margin of error decreases
C.) construct a 99% confidence interval about the mean if the sample size, n,is 34. Compare the results to those obtained in part A. How does increasing the level of confidence affect the size of the margin of error, E? a. The margin of error does not change b. The margin of error increases c. The margin of error decreases
D. If the sample size is 13, what conditions must be satisfied to compute the confidence interval? a. The sample data must come from a population that is normally distributed with no outliers b. The sample must come from a population that is normally distributed and the sample size must be large c. The sample size must be large and should not have any outliers simple random sample of size n is drawn. The sample mean. x, is found to be 18.3. and the sample standard deviation, s, is found to be 46. Click the icon to view the table of areas under the t-distribution a) Construct a 95% confidence interval about if the sample size, n, is 34. Lower bound Upper bound Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about w ifthe sample size, n, is 61. Lower bound Upper bound (Use ascending order Round to two decimal places as needed) How does increasing the sample size affect the margin of error. E? O A. The margin of error increases. O B. The margin of error does not change O c. The margin of error decreases. (e)Construct a 99% confidence interval about w if the sample size, n, is 34. Lower bound Upper bound (Use ascending order. Round to two decimal places as needed) compare the results to those obtained in part (a) How does increasing the level of confidence affect the size of the margi of error,E? O A. The margin of error does not change. O B. The margin of error increases, O C. The margin of error decreases odyffthe sample sizeis 13. what conditions must be satisfied to compute the confidence interval? O A. The sample data must come from a population that is normally distributed with no outliers o B. The sample must come from a population that is normall distributed and the sample size must be large. O C. The sample size must be large and the sample should not have any outliers

Explanation / Answer

a) std error of mean =std deviation/(n)1/2 =0.7889

for 95% CI and 33 df ; t=2.0345

hence confidence interval =sample mean -/+t*std error =16.69 ; 19.91

B)

std error of mean =std deviation/(n)1/2 =0.589

for 95% CI and 33 df ; t=2.0003

hence confidence interval =sample mean -/+t*std error =17.12 ; 19.48

-the margin of error decreases

C)

std error of mean =std deviation/(n)1/2 =0.7889

for 99% CI and 33 df ; t=2.7333

hence confidence interval =sample mean -/+t*std error =16.14 ; 20.46

b. The margin of error increases

a. The sample data must come from a population that is normally distributed with no outliers

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