Question

1. We measure the self-esteem scores for a sample of freshman. The population of college students has a mean self-esteem score of µ = 55 and σ = 135. The data for our freshman are as follows:         44           55                39           17           27           38           36           24           36
   1. Summarize the sample data (that is, find the mean and standard deviation).

2. If we ask whether our sample of freshmen is different from the typical college student, is that a one-tail test or a two-tail test? Two tail test

3. Do the 4 step hypothesis testing procedure and summarize your conclusion in an APA-styled summary. Use α = .05. Remember, there are additional steps that need to be done if the finding is significant.

1. d. What happens if we change α to α = .01? What is our decision then?

Answer 1

Summarize the sample data (that is, find the mean and standard deviation).

If we ask whether our sample of freshmen is different from the typical college student, is that a one-tail test or a two-tail test? Two tail test

Do the 4 step hypothesis testing procedure and summarize your conclusion in an APA-styled summary. Use α = .05. Remember, there are additional steps that need to be done if the finding is significant.

Results in APA

A single sample t-test was conducted to determine if a statistically significant difference existed between self-esteem scores of freshman from a sample used in the study and the general population.

The sample of freshman reported a self esteem score ( M=35.11 , SD=11.27 ) compared to the population in general, t(8) =-5.295 ,p= 0.0007

d. What happens if we change α to α = .01? What is our decision then?

The pvalue = 0.0007 which is less than significance level of 0.01, hence we still reject the null hypothesis. The decision remains the same.