Question

We wish to test the claim that = 74.1 for = 0.01. The sample mean is 75, n = 14, and sample standard deviation is 9.60. Compute the value of the appropriate test statistic, expressed to 2 decimal places

Answer 1

The appropriate test statistic for testing the claim that µ = 74.1 is the t-test. The value of the appropriate test statistic, expressed to 2 decimal places, is 2.19.

Step-by-step explanation:

The appropriate test statistic for testing the claim that µ = 74.1 is the t-test. Since the sample size is small (n = 14), we use the t-distribution.

To calculate the test statistic, we can use the formula: t = (sample mean - population mean) / (sample standard deviation / √n). Plugging in the values, we get t = (75 - 74.1) / (9.60 / √14) = 2.19.

Therefore, the value of the appropriate test statistic, expressed to 2 decimal places, is 2.19.