When testing the hypothesis H0: μ = 100 with n = 100 and σ2 = 100,we find that the sample mean is 97.The test statistic is
A)−3.000
B)−10.00
C)−0.300
D)−0.030

Question

Quizplus · Accepted Answer

To find the test statistic, we use the formula:

t = (x̄ - μ) / [σ / √(n)]

where x̄ is the sample mean, μ is the hypothesized population mean (in this case, 100), σ is the population standard deviation, and n is the sample size.

Plugging in the numbers given:

t = (97 - 100) / [√(100/100)] = -3

Therefore, the test statistic is -3, which corresponds to choice A.

When Testing the Hypothesis H0: μ = 100 with N