Problem: Mr. Kinalabaw, an owner of a mango plantation, is worried about the increasing number of fruit piercing moths present in most of the mango trees in his farm. He then asked for Concon’s help, his trusted statistician, in resolving the problem. They identified two types of pesticide (1, 2) and two methods of application (A, B). They applied each treatment combination to 3 fruit piercing moths. Their survival time (in minutes) was recorded. 1) Suppose all assumption of pa
FRUIT PIERCING MOTHS
Problem: Mr. Kinalabaw, an owner of a mango plantation, is worried about the increasing number of fruit piercing moths present in most of the mango trees in his farm. He then asked for Concon’s help, his trusted statistician, in resolving the problem. They identified two types of pesticide (1, 2) and two methods of application (A, B). They applied each treatment combination to 3 fruit piercing moths. Their survival time (in minutes) was recorded.
1) Suppose all assumption of parametric test were satisfied, perform necessary parametric tests of hypothesis at 5% level of significance.
Test for Interaction of factor A and B
Ho: (in symbols and words)
Ha: (in symbols and words) Test statistic formula: Value of the test statistic:
p-value:
Decision:
Conclusion:
Test for factor A: (if necessary)
Ho: (in symbols and words)
Ha: (in symbols and words)
Test statistic formula Value of the test statistic: p-value:
Decision:
Conclusion:
Test for factor B: (if necessary)
Ho: (in symbols and words) Ha: (in symbols and words) Test statistic formula: Value of the test statistic:
p-value:
Decision:
Conclusion:
2) Explain briefly how you should proceed given the result of recent hypothesis tests.
Step by step
Solved in 3 steps
