Question

(20.60 S-AQ) To study the metabolism of insects, researchers fed cockroaches measured amounts of a sugar solution. After 2, 5, and 10 hours, they dissected some of the cockroaches and measured the amount of sugar in various tissues. Five roaches fed the sugar D-glucose and dissected after 10 hours had the following amounts (in micrograms) of D-glucose in their hindguts:

Amounts of D-glucose

55.95

68.24

52.73

21.5

23.78

The researchers gave a 98% confidence interval for the mean amount of D-glucose in cockroach hindguts under these conditions. The insects are a random sample from a uniform population grown in the laboratory. We therefore expect responses to be Normal.

The mean (±0.01) and the standard deviation (±0.0001) of the SRS are:   
x¯¯¯x¯ =      s = .

The critical value (±0.001) from the distribution for 98% confidence interval is:   
t* = .

What confidence interval (±0.01) did the researchers give?    to    .

Answer 1

	D-glucose(x)	(x-x_bar)^2
	55.95	132.4801
	68.24	566.44
	52.73	68.7241
	21.5	526.2436
	23.78	426.8356
Total	222.2	1720.7234
mean(x_bar)	44.44
sd	20.74080158

The critical value for 98%

Confidance interval for true mean is,

Confidance interval is,

[9.6248 , 79.2551]