True or False: A sample size of 5 provides a sample mean of 9.6.If the population variance is
known to be 5 and the population distribution is assumed to be normal, the lower limit for a
90% confidence interval is 7.96.

Question

Quizplus · Accepted Answer

The lower limit for a 90% confidence interval is calculated as the sample mean minus the critical value multiplied by the standard error of the mean. The critical value for a 90% confidence interval with a sample size of 5 is 2.262. The standard error of the mean is the population standard deviation divided by the square root of the sample size, which is 5 / sqrt(5) = 2.236. Therefore, the lower limit for the 90% confidence interval is 9.6 - 2.262 * 2.236 = 7.96.

True or False: a Sample Size of 5 Provides a Sample