Construct a 99 confidence interval to estimate the...

Construct a 99% confidence interval to estimate the population mean using the data below. x=20 s=3.5 n=23 N=180 The 99% confidence interval for the population mean is (_,_). (Round to two decimal places as needed.)

Transcript

00:01 So our question says that constructs a 99 % confidence in several to estimate the population mean using the data below.

00:07 So we have the sample in x bar to be across to 20.

00:10 We have the sample standard division to be across to 3 .5.

00:13 We have the sample size to be across to 23 and we have the population size to be across to 180.

00:19 So let's move into our worksheet.

00:21 Our sample mean x bar is equals to 20.

00:24 We have the sample standard division to be cost to 3 .5.

00:27 We have the sample size n to be across to 20.

00:32 And the population size is actually cost to 180 and our confidence level is actually equals to 99%.

00:39 So the formula for constructing our confidence in our confidence in our single value of population mean is given as mill is the cost to x bar plus or minus the critical value times the sample standard division divided by the scrolls of n.

00:51 We have all of our details ready aside from the critical value and the critical value is actually dependent on the type of distribution that defines our data set.

01:00 Taking a look at our data set, we have a sample size of 23.

01:04 This is a small sample size.

01:06 Also, we are using the value of the sample standard deviation and not the population standard division.

01:11 So that simply implies that our critical value cv is going to be a t score.

01:17 So since we are working with a t score, we are going to be needing a degree freedom...

Question

Construct a 99% confidence interval to estimate the population mean using the data below. x=20 s=3.5 n=23 N=180 The 99% confidence interval for the population mean is (_,_). (Round to two decimal places as needed.)

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