The heights of 1000 students are approximately normally distributed with a mean of 174.5 cm and a standard deviation of 6.9 cem. Suppose 200 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine a) The mean and SD of X _mean =. SD b) The number of sample means that fall between 172.5 and 175.8 cm inclusive: c) The number of samples means that fall below 172 cm.

Question
The heights of 1000 students are approximately normally distributed with a
mean of 174.5 cm and a standard deviation of 6.9 cem. Suppose 200 random
samples of size 25 are drawn from this population and the means recorded to
the nearest tenth of a centimeter. Determine
a) The mean and SD of X _mean =.
SD
b) The number of sample means that fall between 172.5 and 175.8 cm
inclusive:
c) The number of samples means that fall below 172 cm.
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Transcribed Image Text

The heights of 1000 students are approximately normally distributed with a mean of 174.5 cm and a standard deviation of 6.9 cem. Suppose 200 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine a) The mean and SD of X _mean =. SD b) The number of sample means that fall between 172.5 and 175.8 cm inclusive: c) The number of samples means that fall below 172 cm.

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