Question

0mg 5mg 9mg 13mg

C1 36.05 42.47 51.5 37.55

C2 52.47 85.15 65 59.3

C3 56.55 63.2 73.1 79.12

C4 45.2 52.1 64.4 58.33

C5 35.25 66.2 57.45 70.54

C6 66.38 73.25 76.49 69.47

C7 40.57 44.5 40.55 46.48

C8 57.15 57.17 66.47 66.35

C9 28.34 35.05 33.17 36.2

The dataset contains cycling times of 9 cyclists on 4 different levels of caffeine. Develop your hypotheses and at .05 significance level conduct the appropriate statistical test to determine if different levels of caffeine have any effect on cycling endurance times. Build the ANOVA table. Make sure you account for the variation that might have contributed by the cyclists.

1-Which of the following is the correctly formulated null hypothesis to test?

2-Which of the following is correct based on the data?

Select one:

a. The amount of caffeine consumed has an effect on cycling endurance

b. The amount of caffeine consumed does not have an effect on cycling endurance

c. None of the other answer choices is correct

3-How many treatments and blocks are used in the experiment?

Select one:

a. 4 blocks and 9 treatments

b. 9 blocks and 4 treatments

c. None of the other answer choices is correct

4-What is the alternative hypothesis?

Select one:

a. All population means are equal

b. Not all population means are equal

c. None of the other answer choices is correct

5-Select all the groups that are significantly different from each other:

Select one or more:

a. 0 ft and 10 ft

b. 0 ft and 30 ft

c. 0 ft and 40 ft

d. 10 ft and 30 ft

e. 10 ft and 40 ft

f. 30 ft and 40 ft

Answer 1

1-Which of the following is the correctly formulated null hypothesis to test?

Ans: Null hypothesis: The mean cycling endurance of four different levels of caffeine are same

Alternative Hypothesis: At least one caffeine level has a significant mean difference in cycling endurance.

2-Which of the following is correct based on the data?

One-way ANOVA: Time versus Caffeine

Source	DF	SS	MS	F	P-value
Caffeine	3	933	311	1.46	0.244
Error	32	6820	213
Total	35	7753

S = 14.60 R-Sq = 12.04% R-Sq(adj) = 3.79%

Ans: b. The amount of caffeine consumed does not have an effect on cycling endurance.

3-How many treatments and blocks are used in the experiment?

Select one:

Ans: c. None of the other answer choices is correct

4-What is the alternative hypothesis?

Select one: Ans: c. None of the other answer choices is correct

5-Select all the groups that are significantly different from each other:

Select one or more: There is no group effect.