Question

From your clients, you found that the mean satisfaction score of your counseling services is 6.8, with a standard deviation of 1.0. (On a scale from 1 to 10). You asked 25 clients among those that you’ve been working for the last year.

Calculate 95% confidence interval: __________ to _________ (Make sure that you enter the two different numbers that shows the range of the Confidence Interval. You can round to 2 decimal places)

Answer 1

Solution :

t _/2,df = 2.064

Margin of error = E = t_/2,df * (s /n)

= 2.064 * (1 / 25)

Margin of error = E = 0.41

The 95% confidence interval estimate of the population mean is,

- E < < + E

6.8 - 0.41 < < 6.8 + 0.41

6.39 < < 7.21

6.39 to 7.21