Question

Using a 1 distribution table or software or a calculator, report the t-statistic which is multiplied by the standard error to form the margin of error for the following cases. a. 90% confidence interval for a mean with 16 observations b. 90% confidence interval for a man with 26 observations c. 99% confidence interval for a mean with 26 observations TClick the icon to view the I-distribution table. at (Round to three decimal places as needed.) b. (Round to three decimal places as needed.) c. (Round to three decimal places as needed.)

Answer 1

Answer a) 1.753

For 90% Confidence Interval, α = 0.10

Degrees of freedom df = 16-1 = 15

Critical t value = tα/2 = t0.05

From the table, it can be seen

t0.05 for df = 15 is 1.753

Answer b) 1.708

For 90% Confidence Interval, α = 0.10

Degrees of freedom df = 26-1 = 25

Critical t value = tα/2 = t0.05

From the table, it can be seen

t0.05 for df = 25 is 1.708

Answer c) 2.787

For 99% Confidence Interval, α = 0.01

Degrees of freedom df = 26-1 = 25

Critical t value = tα/2 = t0.005

From the table, it can be seen

t0.005 for df = 25 is 2.787