Question

In order to test hypotheses H 0: μ = 70 ; H a: μ < 70.

A random sample of size 100 is taken . The sample yields x ¯ = 68 ; s = 8.
Find the test statistic.
Group of answer choices-
a-$2.50
b-$ 25
c-$2.50
d-$0.025

Answer 1

To find the test statistic for the given hypothesis test, you need to calculate (x ¯ - μ) / (s / √n) using the provided sample data. After substituting the values, the resulting test statistic is -2.5.

Step-by-step explanation:

To test the hypotheses H 0: μ = 70 ; H a: μ < 70, you need to calculate the test statistic. Since you have a random sample of size 100, with sample mean x ¯ = 68 and sample standard deviation s = 8, you can calculate the test statistic using the formula:

test statistic = (x ¯ - μ) / (s / √n)

Plugging in the values, we get:

test statistic = (68 - 70) / (8 / √100)

Simplifying the expression:

test statistic = -2 / 0.8 = -2.5

Therefore, the test statistic is -2.5.