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Estimating the first-time customers from a random sample

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The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers. A simple random sample of 80 orders will be used to estimate the proportion of first-time customers.

Assume that the president is correct and p = 0.26. What is the sampling distribution for this study?

Select a normal distribution because np and n(1-p) are both greater than 5A normal distribution because np and n(1-p) are both less than 5A non normal distribution.

What is the probability that the sample proportion will be between .20 and .40 (to 4 decimals)?

What is the probability that the sample proportion will be between .25 and .35 (to 4 decimals)?

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Solution Summary

This solution provides a detailed, step by step explanation of the given statistics problem involving the determination of the proportion of a firm's orders that come from first-time customers using a simple random sample.

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The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers. A ...

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