Below is the data for a personality questionnaire measuringconscientiousness. These data were taken from a random sample of 25undergraduate psychology majors. In the general population, scoreson this questionnaire are normally distributed with a mean (μ) of60. You hypothesize that this sample is not representative of thegeneral population. Specifically, you hypothesize that psychologystudents form a distinct sub-population, with DIFFERENTconscientiousness, relative to the general population. That is, itwould be equally interesting to find out they have higher or lowerconscientiousness. Conduct a one-sample t-test by answering thefollowing questions.

Data: N = 25, xbar (sample mean) = 65.12, S_x =10.17

  a. State the null and alternative hypotheses.

  b. Are you going to be using a one- or two-tailedtest? Explain the reason for your choice.

  c. What are the degrees of freedom for thist-test? Find the corresponding critical t-valuefor Type I error rate (alpha) of α = 0.05?

d. Calculate your observed t-statistic.

e. Compare your observed t-statistic to the criticalt-value(s). What do you conclude regarding the null hypothesis?

f. Calculate and interpret follow-up 95% Confidence interval

g. Calculate and interpret the standardized effect size (Cohen'sd).

h. What do you conclude about your research question (use yourown words, in everyday language)