A machine produces 500 similar components with a mean weight of 4.03 N and a state deviation of 0.20 N. A random sample of 60 components is selected from this group W will be the probability of sample mean weight of (a) between 4.0 and 4.1 N; (b) mare f 4.05 N Assume that sampling is without replacement and the weights of the components normally distributed.
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Step-by-step explanation:
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".
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