- 7 A Particular Brand Of Candy Coated Chocolate Comes In Five Different Colors Brown Yellow Orange Green And Coffee 1 (116.88 KiB) Viewed 21 times
Question 8 and question 9
7. A particular brand of candy-coated chocolate comes in five different colors: brown, yellow, orange, green, and coffee. The manufacturer of the candy says the candies are distributed in the following proportions: brown = 40%, yellow = 20%, orange = 20%, and the remaining are split evenly between green and coffee. A random sample of 580 pieces of this candy are collected giving the following observation. Colour Brown Coffee Yellow Green Orange 48 130 Number 224 59 119 Does this random sample provide evidence against the manufacturer's claim? 8. Suppose you flip two coins 100 times and obtain the following results. Outcome Frequency HH 20 HT 27 TH 30 TT 23 Are the coins fair? Test at the 5% significance level. 9. Four identical six-sided dice, each with faces marked 1 to 6, are rolled 200 times. At each rolling, a record is made of the number of dice whose score on the uppermost face is even. The results are as follows. 2 3 4 Number of even scores (xi) Frequency (fi) 0 1 10 41 70 57 22 (a) Explain why a binomial model is appropriate in describing the distribution of X, number of even scores. (b) Test for goodness of fit of the binomial model.