2) A study is conducted involving 10 students to investigate the association between statistics and science tests. The question arises here; is there a relationship between the degrees gained by the 10 students in statistics and science tests? (Use Pearson Product Correlation) Students 2 3 4 5 6 7 8 9 10 Statistics 20 23 8 29 14 12 11 20 17 18 Science 20 25 11 24 23 16 12 21 22 26) Facebook X Course Hero X Recent designs - Can x new pricelist - Infogra x (4) Facebook Business x Recent designs C coursehero.com/qa/wait/31685784/ The corresponding test statistic is t statistic since population standard deviation " is unknown. the t statistic is: t= S Vn Here we have: T = Sample mean = 14.5 H = Assumed population mean = 15 s = Sample standard deviation = 1.5 n = Sample size = 60 Putting values we have: t - 14.5-15 1.5 V60 t = -2.58 Here degree of freedom is: df = n-1 = 60-1 df = 59 The corresponding p value is found from t distribution table with df = 59 and t = -2.58 and area to the right since the P - value = P(t > -2.58) = 0.9938 Since P-value > 0.01 which was the significance level therefore we fail to reject the null hypothesis. It means that ther for this model is more than 15. 2) The null and alternative hypothesis are: U fixed-shift = / Rotating-shift 11 .. . . .. 7 lin . .. . . .. Is this answer helpful? Your feedback will help us provide a better solution that statictio ie. Type here to search O