Consider the following data set below. Find the UPPER INTERVAL of the population mean at 80\% confidence interval. Given: 12,10,9,11

UkusakazaL

UkusakazaL

Answered question

2021-08-10

Consider the following data set below. Find the UPPER INTERVAL of the population mean at 80% confidence interval. (write your answer in two decimal places) Given: 12,10,9,11

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

It is given that,
12,10,9,11
Thus,
Sample mean, x=t1nXtn=10.5
Sample standard deviation, s=t1n(XtX)2n1=1.29099
Since, Population standard deviation is unknown thus t distribution is used.
Sample size, n=4
Degree of freedom =n1=41=3
The value of tα2,n1 at 80% confidence interval is =1.638 [From t table]
Step 2
Now, the 80% confidence interval for the population mean can be calculated as:
CI=x±tα2,n1×sn
=10.5±1.638×1.290994
=(9.44,11.56)
Upper limit =11.56

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?