Question

A user survey is completed by 35 individuals testing a new interface. They each score the interface on a 1 to 100 scale. The average score is 71 with a standard deviation of 4. The designer wants to test the hypothesis that the rating is above 70 with 95% confidence. ________________

Which of these is the appropriate null hypothesis? (Ho: μ < 70 , Ho: μ ≥ 70 , Ho: μ < 72, or Ho: μ ≥ 72) ________________

What z-value is calculated as the test statistic for this hypothesis? _____________________

What is the p-value associated with this z? ____________________________

What is the decision? (fail to reject null hypothesis , reject null hypothesis) ___________________________

With 95% confidence, is the mean greater than 70?_____________________

Answer 1

Here, we apply test for Population mean using z test statistic . Z =( - )/s/

with = 0.05

the steps and calculations given below.