Question

a test is made of 68 versus 68 . a sample of size 60 is drawn, and the sample mean is 73. the population standard deviation is 23. compute the value of the test statistic and determine if the is rejected at the level.

Answer 1

The p-value for a z-score of 2.17 is approximately 0.015.

The test statistic is calculated as follows:

z = (x - μ) / (σ / √n)

where:

x is the sample mean (73)

μ is the population mean (68)

σ is the population standard deviation (23)

n is the sample size (60)

Plugging in the values, we get:

z = (73 - 68) / (23 / √60)

z ≈ 2.17

The p-value for a z-score of 2.17 is approximately 0.015. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the sample mean is significantly different from the population mean.