Instruction 10-9
The use of preservatives by food processors has become a controversial issue. Suppose two preservatives are
extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 15 cuts of fresh meat are treated with preservative A and 15 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. The results are summarised in the table below.
$\begin{array} { c c } \text { Preservative A } & \text { Preservative B } \\\bar { X } _ { A } = 106.4 \mathrm { hours } & \bar { X } _ { \mathbf { B } } = 56.54 \mathrm { hours } \\S _ { A } = 10.3 \mathrm { hours } & S _ { \mathrm { B } } = 13.4 \mathrm { hours }\end{array}$
-Referring to Instruction 10-9,state the null and alternative hypotheses for testing if the population variances differ for preservatives A and B

Question

Instruction 10-9
The use of preservatives by food processors has become a controversial issue. Suppose two preservatives are
extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 15 cuts of fresh meat are treated with preservative A and 15 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. The results are summarised in the table below.

\begin{array} { c c } \text { Preservative A } & \text { Preservative B } \\\bar { X } _ { A } = 106.4 \mathrm { hours } & \bar { X } _ { \mathbf { B } } = 56.54 \mathrm { hours } \\S _ { A } = 10.3 \mathrm { hours } & S _ { \mathrm { B } } = 13.4 \mathrm { hours }\end{array}

-Referring to Instruction 10-9,state the null and alternative hypotheses for testing if the population variances differ for preservatives A and B

Quizplus · Accepted Answer

The null hypothesis in this case is that the population variances of the two preservatives are equal, while the alternative hypothesis is that they are not equal. Therefore, the correct choice is D, which represents the correct form for the null and alternative hypotheses. A and C are incorrect because they are testing for equality and inequality in only one direction, respectively. B is incorrect because the null hypothesis should always be the hypothesis of no effect or no difference, which is not represented by the less than or equal to symbol in the null hypothesis.

Instruction 10-9 the Use of Preservatives by Food Processors Has

Instruction 10-9
the Use of Preservatives by Food Processors Has