# Sample of Values from Uniform Distribution

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?

https://brainmass.com/statistics/sampling/sample-of-values-from-uniform-distribution-37257

#### 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.