Answer:
The value of the test statistic is [tex]t = -1.54[/tex]
Step-by-step explanation:
In this problem, we have that:
Null hypothesis
[tex]H_{0} = 18[/tex]
Alternate hypothesis
[tex]H_{a} \neq 18[/tex]
Compute the value of the test statistic.
This is the value of t, given by
[tex]t = \frac{\overline{x} - \mu_{0}}{\frac{s}{\sqrt{n}}}[/tex]
In this problem, we have that:
[tex]\overline{x} = 17, \mu_{0} = 18, s = 4.5, n = 48[/tex].
So
[tex]t = \frac{17- 18}{\frac{4.5}{\sqrt{48}}} = -1.54[/tex]
The value of the test statistic is [tex]t = -1.54[/tex]
