How large a sample must be drawn so that a 99.5% confidence interval for µ will have a margin of error equal to 1.1? Round up the answer to the nearest integer. (Round the critical value to no less than three decimal places.) A sample size of is needed to be drawn in order to obtain a 99.5% confidence interval with a margin of error equal to 1.1.

A sample size of 2018 is needed to be drawn in order to obtain a 99.5% confidence interval with a margin of error equal to 1.1.

Step-by-step explanation:

Missing data:

The value of population standard deviation is 17.6

We have been provided with the following data:

Confidence Level = 99.5%

Margin of error = M.E = 1.1

Population standard Deviation = = 17.6

What we have to do is find the minimum sample size required to keep the margin of error upto 1.1 with 99.5% confidence level.

Since, the value of population standard deviation is known, we will use the formulas of z-distribution to solve the question.

Formula of Margin of Error is:

Here,

is the z critical value for the given confidence level. From the z-table the z-value for 99.5% confidence level comes out to be 2.807

Using the values in above formula, we get:

Rounding up to the nearest integer, the minimum sample size required is 2018.

A sample size of 2018 is needed to be drawn in order to obtain a 99.5% confidence interval with a margin of error equal to 1.1.

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.