The mean and standard deviation of a random sample of n measurements are equal to 34.2 and 3.7 respectively.
a. Find a 90% confidence interval for mu if n = 144
( __ , ___) round to three decimal places as needed
b. Find a 90% confidence interval for mu if n = 576
(___, ___) round to three decimal places as needed
c. Find the widths of the condfidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while hold the confidence coefficient fixed?
Option a Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.
option b Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.
option c Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.
option d Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 4.
option e Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.
a)
Standard error of the mean = SEM = S/?N = 0.308
t(?, N-1) = 1.656
Confidence interval = m +/- (t(?, N-1)*SEM)
Mean = 34.2
Lower bound: 33.69
Upper bound: 34.71
b)
Standard error of the mean = SEM = S/?N = 0.154
t(?, N-1) = 1.648
Confidence interval = m +/- (t(?, N-1)*SEM)
Mean = 34.2
Lower bound: 33.95
Upper bound: 34.45
c.
Width in part a. = 34.71-33.69 = 1.02
Width in part b = 34.45-33.95 = 0.5
option c Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.
The mean and standard deviation of a random sample of n measurements are equal to 34.2...
The mean and standard deviation of a random sample of n measurements are equal to 33.3 and 3.3, respectively. a. Find a 95 % confidence interval for μ if n=144. b. Find a 95 % confidence interval for μ if n= 576 c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a.The 95%...
The mean and standard deviation of a random sample of n measurements are equal to 33.5 and 3.3, respectively. a. Find a 95% confidence interval for if n-49 b. Find a 95% confidence interval for if n-196. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 95% confidence interval for μ...
The mean and standard deviation of a random sample of n measurements are equal to 33.1 and 3.1, respectively. a. Find a 99% confidence interval for μ if n-100. b. Find a 99% confidence interval for if n : 400 c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence...
The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.6, respectively a. Find a 99% confidence interval for μ if n: 49. b. Find a 99% confidence interval for μ if n-196. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence...
The mean and standard deviation of a random sample of n measurements are equal to 33.5 and 3.1, respectively. a. Find a 95% confidence interval for μ if n=49. b. Find a 95% confidence interval for μ if n=196. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 95% confidence interval...
The mean and standard deviation of a random sample of n measurements are equal to 34.2 and 3.2, respectively. a. Find a 99% confidence interval for μ if n-64 b. Find a 99% confidence interval for μ if n-256 c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?
The mean and standard deviation of a random sample of n measurements are equal to 34.1 and 3.5, respectively. a. Find a 90% confidence interval for mu if nequals64. b. Find a 90% confidence interval for mu if nequals256. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?
The mean and standard deviation of a random sample of n measurements are equal to 33.4 and 3.7 respectively. a. Find a 90% confidence interval for μ if n=121. b. Find a 90% confidence interval for μ if n=484. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 90% confidence interval...
The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively. a. Find a 90% confidence interval for μ if n=4949. b.Find a 90% confidence interval for μ if n=196. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 90% confidence interval for...
The mean and standard deviation of a random sample of n measurements are equal to 34.7 and3.2respectively. a.Find a 90% confidence interval for μ if n=49. b. Find a 90% confidence interval for μ if n=196. c.Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 90% confidence interval forμ if n=49 is...