# statistics

posted by .

A simple random sample of 25 has been collected from a normally distributed population for which it is know that o=17.0. The sample mean has been calculated as 342.0, and the sample standard deviation is s=14.9. Construct and interpret the 95% and 99% confidence intervals for the population mean.

• statistics -

CI95 = mean + or - 1.96(sd divided by √n)
...where + or - 1.96 represents the 95% confidence interval using a z-table, sd = standard deviation, √ = square root, and n = sample size.

For the 99% confidence interval, you will have to substitute the value from a z-table that corresponds to 99%.

Put the values you are given from the problem into the formula and go from there to determine your confidence intervals.

I hope this will help get you started.

## Similar Questions

the following data values are a simple random sample form a population that is normally distributed, with ²= 25.0: 47,33,42,34, and 41. Construct and interpret the 95% and 99% confidence intervals for the population mean.
2. ### Statistics

A simple random sample of 25 has been collected from a normally distributed population for which it is know that o=17.0. The sample mean has been calculated as 342.0, and the sample standard deviation is s=14.9. Construct and interpret …
3. ### Statitic

following data values are a simple random sample from a population that is normally distributed, with ssquared=25.0: 47, 43, 33, 42, 34, and 41. Construct and interpret the 95% and 99% confidence intervals for the population mean.
4. ### statistics

A simple random sample of 25 has been collected from a normally distributed population for which it is known that 17.0. The saMPLE MEAN HAS BEEN CALCULATED AS 342.0 AND THE sample standard deviation s=14.9. Construct and interpret …
5. ### Statistics

Are these statements true or false? 1. The sample mean, the sample proportion and the sample standard deviation are all unbiased estimators of the corresponding population parameters. 2. If the population is normally distributed with
6. ### statistics

a simple random sample will be obtained from a normally distributed population. find the minimum sample size needed to be 95% confident that the sample standard deviation (s) is within 10% of sigma. please help!
7. ### statistics

The population standard deviation (σ) for a standardized achievement test that is normally distributed is 8.    a.) Calculate the standard error of the mean if you draw a random sample of 50 test scores.  Show your work for …
8. ### statistics

A specific study found that the average number of doctor visits per year for people over 55 is 8 with a standard deviation of 2. Assume that the variable is normally distributed. 1. Identify the population mean. The population mean …
9. ### statistics

An IQ test was administered to a random sample of 26 mental patients and the mean was found to be 99.7. For this test, the population values are known to be normally distributed and with a population standard deviation of 15. Construct …
10. ### statistics

A simple random sample of a size n is drawn from a population that is normally distributed. The sample mean, x is found to be 110, and the sample standard deviation, s, is found to be 10. A- Construct a 95% confidence interval about …

More Similar Questions