The Next Questions Are Based On The Following Information: Suppose that you want to test H 0 = μ = 0.54 against H 1 :μ

Question

The Next Questions Are Based On The Following Information:
Suppose that you want to test H₀= μ = 0.54 against H₁ :μ < 0.54 based on a sample of n = 25 and s = 13.2.
-What is the test statistic?

Quizplus · Accepted Answer

The test statistic for testing a single sample mean is given by (sample mean - hypothesized mean) / (standard error), where the standard error is calculated as the standard deviation of the sample divided by the square root of the sample size. In this case, we are testing whether the population mean is less than 0.54, so our hypothesized mean is 0.54. The sample mean is not given, so we cannot calculate the test statistic directly. However, we are given the sample standard deviation (s) and the sample size (n), so we can calculate the standard error as s / sqrt(n) = 13.2 / sqrt(25) = 2.64. Plugging in our values, we get (Xbar - 0.54) / 2.64, where Xbar is the sample mean. Since we are only given s and n, we cannot calculate Xbar, but we don't need to in order to find the test statistic. The correct answer is therefore B.

The Next Questions Are Based on the Following Information