Confidence Intervals and Introduction to Hypothesis Testing
1) Calculate a 95% and 99% confidence interval for the following data set. Note: this is a sample. Show your steps including the mean, z-score, standard deviation, and standard error that you use.
12
10
18
16
11
10
9
17
6
13
10
20
21
24
18
17
19
12
11
10
2) In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a mean of 37 and a standard deviation of 7. The researcher predicts that the treatment will create an effect on the subject, but does not specify if the measurement will increase or decrease. Using a 5% significance level (p < .05), what conclusions should this researcher make about the treatment. Utilize the five-step hypothesis testing process and show all of your work.
