1.Surprise, surprise - it's real data from our own class again!

As a researcher, I'm interested in finding out whether there are differences in favorability ratings of TikTok between younger people (i.e., less than 20 years old) and older people (i.e., 20 years old or older). I collect two samples of younger and older students from our class to answer this question. My sample of younger students has n₁ = 20 with a TikTok rating of M₁ = 6.7 and SS = 116. My sample of older students has n₂ = 33 with a TikTok rating of M₂ = 5.9 and SS = 364.

Perform an independent-sample t-test to answer this question by calculating the following: (Show your work or explain for answer for each!) (17.5 points total; 2.5 points each)

a.Null hypothesis (H_O) and alternative hypothesis (H_A) (2.5 points)

b.Degrees of freedom (df) (2.5 points)

c.The critical t if we are doing a two-tailed test with = .05 (2.5 points)

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

d.Pooled variance (s²_p) (2.5 points)

e.Estimated standard error of M₁-M₂ (s_(M1-M2)) (2.5 points)

f.t-statistic (2.5 points)

g.Based on our t-statistic and our critical t, are we rejecting or failing to reject the null hypothesis? Does this mean the ratings of TikTok among our younger sample significantly different from our older sample or not? (2.5 points)