Given the following information, the test statistic isSample Size = 49 Sample Mean = 50 Sample Standard Deviation = 7 Ho: Mean >= 52Ha: Mean < 52Question 9Select one:a.1b.-2c.2d.-1
Question
Given the following information, the test statistic isSample Size = 49 Sample Mean = 50 Sample Standard Deviation = 7 Ho: Mean >= 52Ha: Mean < 52Question 9Select one:a.1b.-2c.2d.-1
Solution
To find the test statistic, we can use the formula for a one-sample z-test:
Z = (X̄ - μ) / (σ/√n)
where: X̄ = sample mean = 50 μ = population mean (under null hypothesis, Ho) = 52 σ = standard deviation = 7 n = sample size = 49
Substituting these values into the formula, we get:
Z = (50 - 52) / (7/√49) = -2 / 1 = -2
So, the test statistic is -2. Therefore, the correct answer is b. -2.
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