Question

10. The director of the project wants to test if the weight of wood needed for cooking with the improved stove is significantly less than the weight of wood needed for cooking with the old stove.

A. What are the appropriate hypotheses for this test? Note: Consider the intended test in context of the reduction variable.

B. Based only on the previous parts, which of the following options is true for the value of the p-value for this test? a. The p-value is less than 0.05. b. The p-value is less than 0.10. c. The p-value is greater than 0.05. d. The p-value is greater than 0.10.

C. Based only on the previous parts, is there sufficient evidence to reject the null hypothesis at the 10% level of significance? Explain.

D. Based only on the previous parts, state the appropriate conclusion of the test in context.

E. Interpret the level of significance, α = 0.1, in context.

F. What is the power of this test using the pilot study design to detect an improvement of 0.3 kg? G. Based on the result from part F., what is the probability of a Type II error? please help!

You may assume that the conditions needed for inference to be reliable are satisfied. You may assume (based on many similar studies) that the population standard deviation of reduction of firewood used is 0.7 kg

old	improved
3.9	1.8
3.8	2.65
3.65	1.5
3.2	2.2
2.6	1.25
2.4	1.65
2.3	1.4
2.25	1.7
2.2	2.15
2.1	1.8
2	1.4
2	1.05
1.9	0.8
1.9	1.75
1.8	0.55
1.55	0.9
1.4	1.3
1.4	1.1
1.15	0.75

Answer 1