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

Answer:

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

Step-by-step explanation:

In this problem, we have that:

Null hypothesis

$H_{0} = 18$

Alternate hypothesis

$H_{a} \neq 18$

Compute the value of the test statistic.

This is the value of t, given by

$t = \frac{\overline{x} - \mu_{0}}{\frac{s}{\sqrt{n}}}$

In this problem, we have that:

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

So

$t = \frac{17- 18}{\frac{4.5}{\sqrt{48}}} = -1.54$

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