A simple random sample of 60 items resulted in a sample mean of 73. The population standard deviation is 15.
a. Compute the 95% confidence interval for the population mean (to 1 decimal).
(____) , (____)
b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).
(___) , (___)
c. What is the effect of a larger sample size on the margin of
error?
Select- (increases), (It decreases), (It stays the same), (it
cannot be determined from the given data)
I NEED IT ASAP, thanks
a)
For n = 60,
95% confidence interval for is
- Z/2 * / sqrt(n) < < + Z/2 * / sqrt(n)
73 - 1.96 * 15 / sqrt(60) < < 73 + 1.96 * 15 / sqrt(60)
69.2 < < 76.8
95% CI is (69.2 , 76.8)
b)
For n = 120,
95% confidence interval for is
- Z/2 * / sqrt(n) < < + Z/2 * / sqrt(n)
73 - 1.96 * 15 / sqrt(120) < < 73 + 1.96 * 15 / sqrt(120)
70.32 < < 75.68
95% CI is (70.32 , 75.68)
c)
Larger sample size decreses the margin of error
A simple random sample of 60 items resulted in a sample mean of 73. The population...
A simple random sample of 60 items resulted in a sample mean of 84. The population standard deviation is 16. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( c. What is the effect of a larger sample size on the margin of error? Select Select It...
A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 17. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , ) c. What is the effect of a larger sample size on the margin of error? Select It increases...
A simple random sample of 60 items resulted in a sample mean of 63. The population standard deviation is 17. a. Compute the 95% confidence interval for the population mean (to 1 decimal). O O b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). O O O c. What is the effect of a larger sample size on the margin of error?...
A simple random sample of 60 items resulted in a sample mean of 74. The population standard deviation is 13. a. Compute the 95% confidence interval for the population mean (to 1 decimal). 32.5 , b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). c. What is the effect of a larger sample size on the margin of error? It decreases
A simple random sample of 60 items resulted in a sample mean of 63. The population standard deviation is 13. a. Compute the 95% confidence interval for the population mean (to 1 decimal). b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). c. What is the effect of a larger sample size on the margin of error? Select
A simple random sample of 60 items resulted in a sample mean of 69. The population standard deviation is 15. a. Compute the 95% confidence interval for the population mean (to 1 decimal). b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). c. What is the effect of a larger sample size on the margin of error? Select
A simple random sample of 60 items resulted in a sample mean of 90. The population standard deviation is 13. 1) Compute the 95% confidence interval for the population mean (to 1 decimal). 2) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). 3) What is the effect of a larger sample size on the margin of error?
eBook A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , ) c. What is the effect of a larger sample size on the margin...
A simple random sample of 60 items resulted in a sample mean of 74. The population standard deviation is 14. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , )
A simple random sample of 60 items resulted in a sample mean of 91. The population standard deviation is 12. a. Compute the 95% confidence interval for the population mean (to 1 decimal). (______,_______)? b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). (_______,_______)?