Below is the data for a personality questionnaire measuring "Openness to New Experiences". These data were taken from a random sample of 100 undergraduate psychology majors. In the general population, scores on this questionnaire are normally distributed with a mean () of 70. You hypothesize that this sample is not representative of the general population. Specifically, you hypothesize that psychology students form a distinct sub-population, with DIFFERENT Openness, relative to the general population. That is, it would be equally interesting to find out they have higher or lower Openness. Conduct a one-sample t-test by answering the following questions. Data: N = 100, xbar (sample mean) = 75.12, Sx = 10.17 a. State the null and alternative hypotheses. b. Are you going to be using a one- or two-tailed test? Explain the reason for your choice. c. What are the degrees of freedom for this t-test? Find the corresponding critical t-value using Table A-2, for Type I error rate (alpha) of = 0.05? d. Calculate your observed t-statistic. e. Compare your observed t-statistic to the critical t-value(s). What do you conclude regarding the null hypothesis (reject or fail to reject)? f. Calculate and interpret follow-up 95% Confidence interval g. Calculate and interpret the standardized effect size (Cohen's d). h. What do you conclude about your research question (use your own words, in everyday language)