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  3. a population has a mean of 800 and a standard devi

A population has a mean of 800 and a standard deviation of 200. Suppose a sample...

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Basic Math

A population has a mean of 800 and a standard deviation of 200.Suppose a sample of size 400 is selected and x is used to estimateμ. (Round your answers to four decimal places.)

(a) What is the probability that the sample mean will be within±5 of the population mean?

(b) What is the probability that the sample mean will be within±10 of the population mean?

A simple random sample of 90 items resulted in a sample mean of70. The population standard deviation is

σ = 15.

(a)

Compute the 95% confidence interval for the population mean.(Round your answers to two decimal places.)

to

(b)

Assume that the same sample mean was obtained from a sample of180 items. Provide a 95% confidence interval for the populationmean. (Round your answers to two decimal places.)

to

(c)

What is the effect of a larger sample size on the intervalestimate?

A larger sample size provides a smaller margin of error.A largersample size provides a larger margin oferror.    A larger sample size does not changethe margin of error.

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