Investigators gave caffeine to fruit flies to see if it affected their rest. The four treatments were a control, a low caffeine dose of 1 mg/ml of blood, a medium dose of 3 mg/ml of blood, and a higher caffeine dose of 5 mg/ml of blood. Twelve fruit flies were assigned at random to the four treatments, three to each treatment, and the minutes of rest measured over a 24-hour period were recorded. Assume the data that follow are four independent SRSs (one from each of the four populations of caffeine levels) and that the distribution of the yields is Normal. A partial ANOVA table produced by Minitab follows, along with the means and standard deviation of the yields for the four groups.
The null hypothesis for the ANOVA F test is that:
A)the population mean rest is the same for all four levels of caffeine.
B)the population mean rest is increasing as the caffeine level gets larger.
C)the population mean rest is decreasing as the caffeine level gets larger.
D)the population mean rest is largest for the high level of caffeine.

Question

Investigators gave caffeine to fruit flies to see if it affected their rest. The four treatments were a control, a low caffeine dose of 1 mg/ml of blood, a medium dose of 3 mg/ml of blood, and a higher caffeine dose of 5 mg/ml of blood. Twelve fruit flies were assigned at random to the four treatments, three to each treatment, and the minutes of rest measured over a 24-hour period were recorded. Assume the data that follow are four independent SRSs (one from each of the four populations of caffeine levels) and that the distribution of the yields is Normal.  A partial ANOVA table produced by Minitab follows, along with the means and standard deviation of the yields for the four groups. 
The null hypothesis for the ANOVA F test is that:
A)the population mean rest is the same for all four levels of caffeine. 
B)the population mean rest is increasing as the caffeine level gets larger. 
C)the population mean rest is decreasing as the caffeine level gets larger. 
D)the population mean rest is largest for the high level of caffeine.

Quizplus · Accepted Answer

The null hypothesis for the ANOVA F test is that the population mean rest is the same for all four levels of caffeine. This is because the goal of the study is to test whether caffeine affects the rest of fruit flies, and the null hypothesis assumes no difference between the means of the four treatments.

Investigators Gave Caffeine to Fruit Flies to See If It