Use the following to answer Questions 1#4-6: The table shows the credit scores f

Question

Use the following to answer Questions 1#4-6: The table shows the credit scores for 1:2 randomly selected adults who are considered high-risk borrowers before and two years after they attend a personal finance seminar. At 0.01, is there enough evidence to support the claim that the seminar helps adults increase their credit scores? Assume the distribution is normally distributed. Credit r 6081620 6101650164016801655 602 644 656 632 664 (Before seminar) (After seminar) Creditscore. 646 692 715|669 725 786 700 6501660 650 6801702 4. Which of the following is the appropriate set of hypotheses? 5. What is the appropriate p-value? a) p-value

Explanation / Answer

Question 4

H0   : d <= 0

Ha : d > 0

Here d is undefined in the question. i assume it d = difference between "after seminar" minus "before seminar"

QUestion 5

here average difference of the score.

  Average difference dbar = 51.1667

Std. deviation of difference of the score sd = 34.9385

so standard error of difference se0 = sd / sqrt(n) = 34.9385/ sqrt(12) = 10.086

so test statistic

t = dbar /seo = 51.1667/ 10.086 = 5.073

so here p - value is < 0.01 as tdf,0.01 = 2.7181 [Option A is correct]

Question 6

so we shall reject the null hypothesis and support the claim that the seminar incrases profit scores.] Option C is correct.

Credit Score (Before Seminar) Credit score(after seminar) Difference 608 646 38 620 692 72 610 715 105 650 669 19 640 725 85 680 786 106 655 700 45 602 650 48 644 660 16 656 650 -6 632 680 48 664 702 38 Averge 51.1667 Std . Dev 34.9385

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