An experiment was conducted to help determine if giving caff

An experiment was conducted to help determine if giving caffeine to rats affected their sleep. The three 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 rats were assigned at random to the four treatments, three to each treatment, and the minutes of sleep measured over a 24-hour period was recorded. The data follow.

Treatment

Minutes of sleep

Control

450 413 418

Low dose

466 422 435

Medium dose

421 453 419

High dose

364 330 389

The sum of squares for error is

4,310.

11,976.

16,286.

43,855.

Treatment

Minutes of sleep

An experiment was conducted to help determine if giving caffeine to rats affected their sleep. The three 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 rats were assigned at random to the four treatments, three to each treatment, and the minutes of sleep measured over a 24-hour period was recorded. The data follow. Assume the data are three 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. One-way ANOVA: Rest versus Caffeine

Solution

Answer: 4,310

Mean	n	Std. Dev
427.0	3	20.07	Control
441.0	3	22.61	Low dose
431.0	3	19.08	Medium dose
361.0	3	29.61	High dose
415.0	12	38.48	Total