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Elza [17]
3 years ago
5

15. For a random sample of n = 64, find the probability of a sample mean being

SAT
1 answer:
mart [117]3 years ago
6 0

Answer:

0.9726

Explanation:

The computation of the probability of a sample mean is shown below:

P(\bar x < 24.3)

To find the probability first we have to determine the z score which is

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} } }

= 1.92

Now probability is

P(\bar x < 24.3) \\\\= P(z < 1.92)

= 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

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