In: Statistics and Probability
Determine the minimum sample size required when you want to be 90% confident that the sample mean is within one unit of the population mean and sigma=10.8. Assume the population is normally distributed.
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of 45 business days, the mean closing price of a certain stock was $116.70. Assume the population standard deviation is $11.02. The 90% confidence interval is
Construct the indicated confidence interval for the population mean using the t-distribution. Assume the population is normally distributed.
c=0.99 x =14.2, s= 0.73 , n=14
Given:
Standard deviation, = 10.8
Margin of error = E = 1
Level of significance ,
= 1-0.90 = 0.1
Therefore 99% Confidence interval for population mean ( ) is ( 13.6124, 14.7876)