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

Check the explanation

Step-by-step 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.