Answer:
0.9726
Explanation:
The computation of the probability of a sample mean is shown below:
[tex]P(\bar x < 24.3)[/tex]
To find the probability first we have to determine the z score which is
[tex]z = \frac{\bar x - \mu_{\bar x}}{\sigma_{\bar x}} \\\\ = \frac{\bar x - \mu }{\frac{\sigma}{\sqrt{n} } } \\\\ = \frac{24.3 - 24}{\frac{1.25}{\sqrt{64} } }[/tex]
= 1.92
Now probability is
[tex]P(\bar x < 24.3) \\\\= P(z < 1.92)[/tex]
= 0.9726
Hence, the probability of the sample mean is 0.9726
We simply applied the above formulas to determined the probability of a sample mean and the same is to be considered
