Problem 1 Let X be the height of a randomly chosen individual from a population. In order to estimate the mean and variance of X, we observe a random sample X1,X2,,X7. Thus, X;'s are i.i.d. and have the same distribution as X. We obtain the following values (in centimeters): 166.8, 171.4, 169.1, 178.5, 168.0, 157.9, 170.1 Find the values of the sample mean, the sample variance, and the sample standard deviation for the observed sample.

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Problem 1
Let X be the height of a randomly chosen individual from a population. In order to estimate the
mean and variance of X, we observe a random sample X1,X2, X7. Thus, X;'s are i.i.d. and
have the same distribution as X. We obtain the following values (in centimeters):
166.8, 171.4, 169.1, 178.5, 168.0, 157.9, 170.1
Find the values of the sample mean, the sample variance, and the sample standard deviation for
the observed sample.
Transcribed Image Text:Problem 1 Let X be the height of a randomly chosen individual from a population. In order to estimate the mean and variance of X, we observe a random sample X1,X2, X7. Thus, X;'s are i.i.d. and have the same distribution as X. We obtain the following values (in centimeters): 166.8, 171.4, 169.1, 178.5, 168.0, 157.9, 170.1 Find the values of the sample mean, the sample variance, and the sample standard deviation for the observed sample.
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