Question

9.16 A government agency received many consumers' complaints that boxes of cereal sold by a company contain less than the advertised weight of 20 oz of cereal with a standard deviation of 5 oz. To check the consumers' complaints, the agency bought 36 boxes of the cereal and found that the average weight of cereal was 18 oz. If the amount of cereal in the boxes is normally distributed, test the consumers' complaint at the 0.05 level of significance.

Answer 1

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This is a case of Normal test This is a case of single sample mean Normal test. Here Sample size ) = 36, Sample mean (12) - 18 Popella tierra nokan Call $10 popula ton stan dourd deviation (0) = 5 Ho! Mz 20 Hi : M < 20 C consumer's complaint is not true) (con sumer's complaint is toue) Test statistic (2) 2= x - flo . N(Oil) z : 18 - 20 = -2.4. from 5 / 136 obtained N.COM) table =0.05, critical table value Zes - 1.645 Since z = -2.4 < 2 = -1,645, We have sufficient evidence to reject null hypothesis and conclude that at -95% confidence we say consumer's complaint is true..