Question Find the probability that a random sample of size $n=61$ drawn from a normal distribution with $\mu=176.7$ and $\sigma=57.5$ has a mean between $166.4$ and $187.7$.

Studdy Solution
Calculate the final probability.
$$P(166.4 < M < 187.7) = 0.9319 - 0.0808 = 0.8511$$
The probability that a sample of size $n=61$ is randomly selected with a mean between 166.4 and 187.7 is approximately 0.8511.