Question

A sample of freshmen takes a reading comprehension test and their scores are summarized below. If the mean for the general population on this test is 15 and we test a no difference hypothesis with an alpha of .05 ___________.Sample scores: 16, 8, 8, 6, 9, 11, 13, 9, 10

if you would reject the null respond with R if you would fail to reject the null respond with F.

enter your calculated t-value rounded to two decimal places. (remember you must use the correct test. a correct answer from the wrong test is a wrong answer)

Answer 1

μ = 15

Mean: x (Using Excel function AVERAGE( )) = 10

Standard deviation: s (Using Excel function STDEV.S( )) = 3

Level of significance = 0.05

n = 9, Degrees of freedom: df = n-1 = 8

H₀: μ = 15

H₁: μ ≠ 15

Calculated t: t = (x-μ)/(s/n^0.5) = (10-15)/(3/9^0.5) = -5.00

Critical value (Using Excel function T.INV.2T(probability,df)) = T.INV.2T(0.05,8) =2.31

Since test statistic is less than critical value, we do not reject the null hypothesis and conclude that μ = 15.