1.Hey, let's work with data from the survey you all completed at the beginning of our class again! Let's consider you all a random sample of n = 52 individuals. Using our 1-to-9 scale, the average rating of LeBron James in our class was M = 7 with SS = 185. The average rating of LeBron James in the overall population is = 6. We're interested in finding out: Are the ratings of LeBron James in our class significantly different from those of the overall population?

Given these values, calculate each of the following. Show your work or explain your answer for each. (18 points total; 3 points each)

a.Null hypothesis (H_O) and alternative hypothesis (H_A) (3 points)

b.Degrees of freedom (df) (3 points)

c.The critical t if we are doing a two-tailed test with = .05 (3 points)

(HINT: Use Table B.2 and the df you found in 5b!)

d.Sample variance (s²) (3 points)

e.Estimated standard error (s_M) (3 points)

f.t-statistic (3 points)

g.Based on our t-statistic and our critical t, are the ratings of LeBron James in our class significantly different from those of the overall population? How do you know? (3 points)