Find the critical values for the t test for each n 6 alpha

Find the critical value(s) for the t test for each: n = 6, alpha = 0.01, left-tailed: n = 9, alpha= 0.025, right-tailed: n = 15, alpha = 0.05, two-tailed: Use the following data for Problems 2-7 A report by the Gallup Poll stated that on average, a woman visits her physician 5.8 times a year. A researcher randomly selects 20 women and obtained these data. At alpha = 0.05 can it be concluded that the average is not still 5.8 visits per year? State the hypotheses and identify the claim

Solution

1)

a) critical value = t(5,0.01) = - 3.365

b) critical value = t(8,0.025) = 2.306

c)

critical value = t(14,0.05) = +/- 2.1448

2)

n = 20

sum (X) = 77

mean = 77/20 = 3.85

sum (X^2) = 417

s = sqrt [ 417/20 - 3.85^2 ]

= 2.455

3)

Ho: u = 5.8

Ha: u !=5.8

hence the correct choice is A)