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# Sample of Values from Uniform Distribution

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1) You want to collect a sample of values from a uniform distribution where ? is unknown but ? = 10.

(a) How large a sample would you need to estimate the value of ? within 2 units with a confidence of 95%?
(b) How large a sample would you need to estimate the value of ? within 2 units with a confidence of 99%?
(c) If the sample size is 25 and ? = 50, what is the probability that the sample average will have a value of 48 or less?

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#### Solution Preview

1) You want to collect a sample of values from a uniform distribution where ? is unknown but ? = 10.
a) How large a sample would you need to estimate the value of ? within 2 units with a confidence of 95%?

Since the two-tailed 95% z value is 1.96 and half of the interval ...

#### Solution Summary

Uniform distribution is discussed with changing sample sizes.

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