Question
To test the efficacy of three different brands of fertilizer, you grow seedlings on each of the brands, plus a control with no fertilizer, for
To test the efficacy of three different brands of fertilizer, you grow seedlings on each of the brands, plus a control with no fertilizer, for a total of four treatments. At the end of two months, you weigh each seedling.
Here are the data, in grams:
fertilizerA fertilizerB fertilizerC control
12 15 11 9
15 16 13 11
11 14 17 10
14 18 14 13
12 18 12 9
14 13 14 11
The question of interest is whether fertilizer affects plant growth. Work through the 10 steps on your own, then answer the questions in this module.
Step 2: What is the null hypothesis?
- A.
- All i are equal.
- B.
- Not all i are equal.
Step 3: What is the alternative hypothesis?
- A.
- All i are equal.
- B.
- Not all i are equal.
Step 4: What is ?
- A.
- =0.05 and extremely small values of FOBS in the left tail of the F distribution will reject H0.
- B.
- =0.05 and extremely large values of FOBS in the right tail of the F distribution will reject H0.
- C.
- /2=0.025 and extreme values of FOBS in either tail of the F distribution will reject H0.
Step 5: Which statistical test are you using?
- A.
- 2 Contingency table test
- B.
- 2 Intrinsic Goodness of Fit test
- C.
- 2 Extrinsic Goodness of Fit test
- D.
- ANOVA
- E.
- Tukey's Honestly Significant Difference test
- F.
- Bonferroni's t-test
Recall that:
SSTRT=i=1kni(XiX)2
What is SSTRT? For "internal" calculations like this one, give your answer tofourdecimal places.
For this experiment, SSERR=66.3333.
What is SSTOT? Give your answer to four decimal places.
To complete the next steps, fill out the ANOVA table on your own.
SourcedfSSMSFpTRTERRemptyemptyTOTemptyemptyempty
Step 6: What is the F statistic? Give your answer to two decimal places.
Step 7: What is FCRIT? Give your answer to two decimal places.
Step 8: How does FOBS compare to FCRIT?
- A.
- FOBS>FCRIT and in the critical tail.
- B.
- FOBS
- C.
- FOBS>FCRIT and not in the critical tail.
- D.
- FOBS
Steps 9 & 10: Do you accept or reject H0, and what do you conclude? Select all that are correct.
- A.
- Accept
- B.
- Reject
- C.
- Fertilizer treatment affects plant growth.
- D.
- Fertilizer treatment does not affect plant growth.
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