For a t distribution with 16 degrees of freedom, find the area, or probability,

Question

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. A. To the right of 2.120 B. To the left of 1.337 C. Between-2.120 and 2.120 Find the t value for each of the following cases. A. Upper tail area of.025 with 12 degrees of freedom. B. Lower tail area of.05 with 50 degrees of freedom. C. Upper tail area of.01 with 30 degrees of freedom D. where 90% of the area falls between the two t values with 25 degrees of freedom. 1. 2. 3. The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6,5 A. B. C. What is the point estimate of the population mean? What is the point estimate of the population standard deviation? With 95% confidence, what is the margin of error for the estimation of the population mean? what is the 95% confidence interval for the population mean? D. A simple random sample with n-54 provided a sample mean of 22.5 and a sample standard deviation of 4.4 4. A. B. C. D. Develop a 90% confidence interval for the population mean Develop a 95% confidence interval for the population mean Develop a 99% confidence interval for the population mean What happens to the margin of error and the confidence interval as the confidence level is increased? How large a sample should be selected to provide a 95% confidence interval with a margin of error of 10? Assume that the population standard deviation is 40 5,

Explanation / Answer

Degrees of freedom 16

A. Area to right of 2.120= 0.025

B. Area to the left of 1.337= 0.9

C. Between -2.120 and 2.120= 0.95

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