The length of human pregnancies from conception to birth varies according to a d

Question

The length of human pregnancies from conception to birth varies according to a distribution approximately Normal with mean 266 days and standard deviation 16 days. a. What are the mean and standard deviation of the mean pre 6 women? that is h for a randomly chosen Vou9cA b. What is the probability that the mean pregnancy length for the six randomly chosen women io less than 25 days? Tables A are attached. 262-266 6:53 -o, 61 1 6270 3. The number of hours a battery lasts before failing varies from battery to battery. The d of failure times for the batteries follows an exponential distribution, which just means the shape of the distribution is not normal and is strongly skewed to the right. The central limit theorem says that (circle one letter): a. As we look at more and more batteries, their average failure time gets ever closer to the mean u for all batteries of this type. failure time of a larger number of batteries has a distribution of the same shape (strongy skew ed) as the distribution for individual batteries large number of batteries has a distribution that is close to Normal he average failure time of a An SRS of 100 high school seniors gained an average of is 12 points in their second attempt at the xam. Assume that the change in score has a Normal distribution with standard deviation a le C is at 4. Anmatics ate the mean change in score in the population of all high school seniors. Tab e interval for based on this sample.

Explanation / Answer

3.

As per Central Limit Theorem, the sampling distribution of the sample mean is, at least approximately, normally distributed, regardless of the distribution of the underlying random sample.

So, option (c) is correct.

The average failure time of a large number of batteries has a distribution that is close to normal.

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