Question 1[2+1+3+2=8] Two brands of refrigerators, denoted A and B, are each guaranteed for 1 year. In a random sample of 100 refrigerators of brand A, 10 were observed to fail before the guarantee period ended. An independent random sample of 150 brand B refrigerators also revealed 15 failures during the guarantee period. Test the claim that 5% more of Brand A than Brand B fail before he guarantee expires. Use a significance level of 1%. (Round off to three decimals)

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Question 1[2+1+3+2=8]
Two brands of refrigerators, denoted A and B, are each guaranteed for 1 year. In a random
sample of 100 refrigerators of brand A, 10 were observed to fail before the guarantee period
ended. An independent random sample of 150 brand B refrigerators also revealed 15 failures
during the guarantee period. Test the claim that 5% more of Brand A than Brand B fail before
the guarantee expires. Use a significance level of 1%. (Round off to three decimals)
Food cost (Y) (in hundreds of rand)
55
42 40 37 26
Question 2 [8 +3+3+2=16]
An economist was interested in the relation between the disposable income of a family
and the amount of money used for food per month. He did a preliminary study on eight
randomly selected lower income families. (Each family was of the same size; father, mother and
two children). The economist's data are given in the table below.
39 43
Family disposable income(X) (in hundreds of rand)
30 36 27 20
16
24
19 25
mbalim
a) Find the regression linear equation.
b) What is the predicted food cost if the family disposable income is R1800?
c) Find the correlation coefficient & Interpret r.
d) Find the Coefficient of Determination & Interpret the R².
I
Transcribed Image Text:ted View Saved to this PC V O Search (Alt+Q) erences Mailings Review View Help ntain viruses. Unless you need to edit, it's safer to stay in Protected View. Show all formula, substitution and answers Enable Editing Question 1[2+1+3+2=8] Two brands of refrigerators, denoted A and B, are each guaranteed for 1 year. In a random sample of 100 refrigerators of brand A, 10 were observed to fail before the guarantee period ended. An independent random sample of 150 brand B refrigerators also revealed 15 failures during the guarantee period. Test the claim that 5% more of Brand A than Brand B fail before the guarantee expires. Use a significance level of 1%. (Round off to three decimals) Food cost (Y) (in hundreds of rand) 55 42 40 37 26 Question 2 [8 +3+3+2=16] An economist was interested in the relation between the disposable income of a family and the amount of money used for food per month. He did a preliminary study on eight randomly selected lower income families. (Each family was of the same size; father, mother and two children). The economist's data are given in the table below. 39 43 Family disposable income(X) (in hundreds of rand) 30 36 27 20 16 24 19 25 mbalim a) Find the regression linear equation. b) What is the predicted food cost if the family disposable income is R1800? c) Find the correlation coefficient & Interpret r. d) Find the Coefficient of Determination & Interpret the R². I
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