In warm and humid parts of the world, a constant battle is waged against termites. Scientists have discovered that certain tree resins are deadly to termites, and thus the trees producing these resins become a valuable crop. In one experiment typical of the type used to test the protective power of a resin, two doses of resin (5 mg and 10 mg) were dissolved in a solvent and placed on filter paper. Five dishes were prepared with filter paper at dose level 5 mg and five with filter paper at dose level 10 mg. Twenty-five termites were then placed in each dish to feed on the filter paper. At the end of 15 days, the number of surviving termites was counted. The results are shown below.You may assume that the number of surviving termites is approximately normal for each group.Dose 5mg (Group 1): 8, 11, 7, 9, 11Dose 10mg (Group 2): 2, 0, 1, 16, 13Unless otherwise stated, give your answers to three decimal places.Construct a 90% confidence interval for the difference in average surviving termites. Give your answers to two decimal places.( , )Conduct a hypothesis test to determine whether the average number of surviving termites differs between the two doses.What is the parameter of interest?a.. a. ppb.. b. μμc.. c. p1−p2p1−p2d.. d. μ1−μ2μ1−μ2e.. e. μdμdWhat is the correct null value for this test?What sign should appear in the alternative hypothesis?a.. a. ==b.. b. <<c.. c. >>d.. d. ≠≠The test statistic for this test is t=t= .The p-value for this test is . (If p-value <0.0001<0.0001, enter 0)Select the appropriate conclusion for this test statistic at a significance level of α=0.10α=0.10.a.. a. Reject H0H0. We have significant evidence to suggest that the average number of termites is different between the two dose levels.b.. b. Reject H0H0. We have significant evidence to suggest that the average number of termites is the same between the two dose levels.c.. c. Reject H0H0. We do not have significant evidence to suggest that the average number of termites is different between the two dose levels.d.. d. Fail to reject H0H0. We have significant evidence to suggest that the average number of termites is different between the two dose levels.e.. e. Fail to reject H0H0. We have significant evidence to suggest that the average number of termites is the same between the two dose levels.f.. f. Fail to reject H0H0. We do not have significant evidence to suggest that the average number of termites is different between the two dose levels.g.. g. Accept H0H0. We have significant evidence to suggest that the average number of termites is different between the two dose levels.h.. h. Accept H0H0. We have significant evidence to suggest that the average number of termites is the same between the two dose levels.i. i. Accept H0H0. We do not have significant evidence to suggest that the average number of termites is different between the two dose levels.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In warm and humid parts of the world, a constant battle is waged against termites. Scientists have discovered that certain tree resins are deadly to termites, and thus the trees producing these resins become a valuable crop. In one experiment typical of the type used to test the protective power of a resin, two doses of resin (5 mg and 10 mg) were dissolved in a solvent and placed on filter paper. Five dishes were prepared with filter paper at dose level 5 mg and five with filter paper at dose level 10 mg. Twenty-five termites were then placed in each dish to feed on the filter paper. At the end of 15 days, the number of surviving termites was counted. The results are shown below.

You may assume that the number of surviving termites is approximately normal for each group.

Dose 5mg (Group 1): 8, 11, 7, 9, 11
Dose 10mg (Group 2): 2, 0, 1, 16, 13

Unless otherwise stated, give your answers to three decimal places.

Construct a 90% confidence interval for the difference in average surviving termites. Give your answers to two decimal places.
( , )
Conduct a hypothesis test to determine whether the average number of surviving termites differs between the two doses.
1. What is the parameter of interest?
  a.. a. pp
  b.. b. μμ
  c.. c. p1−p2p1−p2
  d.. d. μ1−μ2μ1−μ2
  e.. e. μdμd
2. What is the correct null value for this test?
3. What sign should appear in the alternative hypothesis?
  a.. a. ==
  b.. b. <<
  c.. c. >>
  d.. d. ≠≠
4. The test statistic for this test is t=t= .
5. The p-value for this test is . (If p-value <0.0001<0.0001, enter 0)
6. Select the appropriate conclusion for this test statistic at a significance level of α=0.10α=0.10.
  a.. a. Reject H0H0. We have significant evidence to suggest that the average number of termites is different between the two dose levels.
  b.. b. Reject H0H0. We have significant evidence to suggest that the average number of termites is the same between the two dose levels.
  c.. c. Reject H0H0. We do not have significant evidence to suggest that the average number of termites is different between the two dose levels.
  d.. d. Fail to reject H0H0. We have significant evidence to suggest that the average number of termites is different between the two dose levels.
  e.. e. Fail to reject H0H0. We have significant evidence to suggest that the average number of termites is the same between the two dose levels.
  f.. f. Fail to reject H0H0. We do not have significant evidence to suggest that the average number of termites is different between the two dose levels.
  g.. g. Accept H0H0. We have significant evidence to suggest that the average number of termites is different between the two dose levels.
  h.. h. Accept H0H0. We have significant evidence to suggest that the average number of termites is the same between the two dose levels.
  i. i. Accept H0H0. We do not have significant evidence to suggest that the average number of termites is different between the two dose levels.

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