Question

Consider the following hypothesis test: H0: = 18 Ha: ≠ 18 A sample of 48 provided a sample mean LaTeX: \overline{x}x ¯ = 17 and a sample standard deviation s = 4.5. Use LaTeX: \alphaα = 0.05. a. Compute the value of the test statistic.

Answer 1

The value of the test statistic is
`t = -1.54`

Explanation:

In this problem, we have that:

Null hypothesis

`H_(0) = 18`

Alternate hypothesis

`H_(a) \\eq 18`

Compute the value of the test statistic.

This is the value of t, given by

`t = \frac{\overline{x} - \mu_(0)}{(s)/(√(n))}`

In this problem, we have that:

`\overline{x} = 17, \mu_(0) = 18, s = 4.5, n = 48`.

So

`t = (17- 18)/((4.5)/(√(48))) = -1.54`

The value of the test statistic is
`t = -1.54`