Question

An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than 9 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 18 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 9.8 pounds with a standard deviation of 2.3 pounds. The test statistic for this hypothesis would be _______.

a) z = 1.476

b) t₁₇ = 1.476

c) z = −1.476

d) t₁₇ = −1.476

Answer 1

We have Ho : = 9 Vs H1 : > 9

Test statistic t

t = ( xbar - )/(s/√n)

t = (9.8 - 9)/(2.3/√18)

t = 1.476