STAT 212PROBLEMSET 4.pdf - EGERTON UNIVERSITY MATHEMATICS DEPARTMENT STAT 212 PRINCIPLES OF STATISTICAL INFRERENCE PROBLEM SET 6 1 A machine is supposed

# STAT 212PROBLEMSET 4.pdf - EGERTON UNIVERSITY MATHEMATICS...

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EGERTON UNIVERSITY MATHEMATICS DEPARTMENT STAT 212: PRINCIPLES OF STATISTICAL INFRERENCE PROBLEM SET 6 1. A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans. At the 0.05 level of significance, test the hypothesis that the machine is mixing the nuts in the ratio 5:2:2:1. 2. The proportions of blood types O, A, B and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies of blood type Blood Type O A B AB Frequency 87 59 20 4 Test the hypothesis that the proportions in this community do not differ significantly from those in the general population. 3. A factory operates four production lines. Of the 1036 breakdowns which occurred, 230were on production line A, 303 on B, 270 on C and 233 on D. Test at the 5% significance level whether these data are consistent with

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