Question

Suppose the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. At a 68% confidence level, (one standard deviation from the mean), about how many of the samples’ confidence intervals would you expect to contain the population mean?

Answer 1

The answer is C: 136 on edgunity

Answer 2

Answer: 136

Explanation:

According to the Empirical rule , If a data is normally distributed then about 68% of the population lies within one standard deviation from mean.

We suppose that the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population.

i.e.
`\mu=300`

Number of simple random samples : n= 200

By Empirical rule , about 68% of 200 samples’ confidence intervals we would expect to contain the population mean .

Required number of samples = 68% of 200

= 0.68 x 200 = 136

Hence , the required number of samples = 136