Question

Using the SPSS data file from above, you will find the variable "education" which is measured as GED, high school graduate, and college graduate. You wish to evaluate the possible role that prior education experience plays on test performance. Answer the following questions:

1. Is a K-S test for normality required for this data set?

2. Tes t t he "test results" variable for equality across education levels using the appropriate statistical test and answer the following questions:

a. What is the appropriate test for these data?

b. Why is this the appropriate test?

c. What are your null and alternative hypotheses?

d. What is your p-value?

e. What is your conclusion (please be specific)?

Answer 1

This is a test of two means with unknown population standard deviations. The test is performed using the t-distribution. We will conduct a two-sample t-test and determine whether the mean of the final exam scores of the online class is lower than the mean of the final exam scores of the face-to-face class.

Step-by-step explanation:

a. This is a test of two means.

b. The population standard deviations are unknown.

c. The test is performed using the t-distribution.

d. The random variable is the difference in the means of the final exam scores of the online class and the face-to-face class.

e. To conduct the test, we will perform a two-sample t-test.

f. The null hypothesis is that the mean of the final exam scores of the online class is equal to the mean of the final exam scores of the face-to-face class. The alternative hypothesis is that the mean of the final exam scores of the online class is lower than the mean of the final exam scores of the face-to-face class.

g. To perform the test, we will calculate the test statistic and the p-value.

h. Based on the p-value and the significance level, we will either reject or fail to reject the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis and conclude that the mean of the final exam scores of the online class is lower than the mean of the final exam scores of the face-to-face class.