Question

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14. Five hundred (500) random 2 points
samples of size n = 900 are
taken from a large population
in which 10% are left handed.
The proportion of the sample
that is left handed is found for
each sample and a histogram
of these 500 proportions is
drawn. Which interval covers
the range into which about
68% of the values in the
histogram will fall ?​

Answer 1

Answer:

A statistic, such as the sample mean or the sample standard deviation, is a number computed from a sample. Since a sample is random, every statistic is a random variable: it varies from sample to sample in a way that cannot be predicted with certainty. As a random variable it has a mean, a standard deviation, and a probability distribution. The probability distribution of a statistic is called its sampling distribution. Typically sample statistics are not ends in themselves, but are computed in order to estimate the corresponding population parameters, as illustrated in the grand picture of statistics presented in Figure 1.1 "The Grand Picture of Statistics" in Chapter 1 "Introduction".