Question

A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 14 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 13.5. (a) Is it appropriate to use a Student's t distribution? Explain.

Answer 1

24

Explanation:

n = 25,
`\bar{X} = 10`, S = 2, α= 0.05, μ= 9.5

a) Yes, We can use student t-test.

Here, Population standard deviation (σ) is Unknown, So we can Use student t-test.

Degrees of Freedom = n-1 = 25-1=24