Question

3. You are working for a usability company that has recently completed a usability study of an airline ticketing system. They conducted a live AB testing of the original website and a new prototype your team developed. They brought in twenty participants into the lab and randomly assigned them to one of two groups: one group assigned to the original website, and the other assigned to the prototype. You are provided with the data and asked to perform a hypothesis test. Using the standard significance value (alpha level) of 5%, compute the four step t-test and report all important measurements. You can use a calculator or SPSS or online calculator to compute the t-test. (4 pts)

Answer 1

Answer:

Check the explanation

Explanation:

Let the population mean time on task of original website be $\mu_1$ and that of new prototype be $\mu_2$

Here we are to test

$H_0:\mu_1=\mu_2\;\;against\;\;H_1:\mu_1<\mu_2$

The data are summarized as follows:

                                                       Sample 1             Sample 2

Sample size                                        n=20                    n=20

Sample mean                                 $\bar{x}_1=243.4$             $\bar{x}_2=253.4$

Sample SD                                     s1=130.8901          s2=124.8199

The test statistic is obtained from online calculator as

t=-0.23

The p-value is given by 0.821

As the p-value is more than 0.05, we fail to reject the null hypothesis at 5% level of significance and hence conclude that there is no statistically significant difference between the original website and the prototype developed by the team at 5% level of significance.