B. Solve the given problem on hypothesis testing on paired t-test. Show the complete solution. A hog raiser in a certain province uses two methods of pig-farming: intensive pig farming, where pigs are housed indoors in group-housing or straw-lines sheds; and extensive pig farming, where pigs are allowed to wander around the farm or fence. Test the hypothesis whether or not the mean weight of pigs in intensive farming is better than the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a two-tailed test at a = 1%. Intensive farming: X, = 85 kg, sỉ = 10 kg, and n1 = 55 Extensive farming: X, = 79 kg, s = 6 kg, and n2 = 45 %3D %3D 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistic to be used and the reasons for its selection?

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B. Solve the given problem on hypothesis testing on paired t-test. Show the
complete solution.
A hog raiser in a certain province uses two methods of pig-farming: intensive
pig farming, where pigs are housed indoors in group-housing or straw-lines
sheds; and extensive pig farming, where pigs are allowed to wander around
the farm or fence. Test the hypothesis whether or not the mean weight of pigs
in intensive farming is better than the extensive farming based from the mean
weight of the pigs in the sample with data shown below. Use a two-tailed test
at a = 1%.
Intensive farming: X, = 85 kg, si = 10 kg, and n, = 55
Extensive farming: X2 = 79 kg, s = 6 kg, and n2 = 45
1. What are the appropriate hypotheses for the two-tailed test?
2. What is the test statistic to be used and the reasons for its selection?
3. What is the critical value c?
4. What is the value of the test statistic or the computed value?
5. Formulate a conclusion about the given situation.
||
Transcribed Image Text:B. Solve the given problem on hypothesis testing on paired t-test. Show the complete solution. A hog raiser in a certain province uses two methods of pig-farming: intensive pig farming, where pigs are housed indoors in group-housing or straw-lines sheds; and extensive pig farming, where pigs are allowed to wander around the farm or fence. Test the hypothesis whether or not the mean weight of pigs in intensive farming is better than the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a two-tailed test at a = 1%. Intensive farming: X, = 85 kg, si = 10 kg, and n, = 55 Extensive farming: X2 = 79 kg, s = 6 kg, and n2 = 45 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistic to be used and the reasons for its selection? 3. What is the critical value c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation. ||
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