2060 SAQ To study the metabolism of insects researchers fed

(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 96% 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 = ____   s = ____

The critical value (±0.001) from the distribution for 96% confidence interval is:   
t* = ____

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

Solution

mean = 44.44 and s= 20.74

critical value 2.99

C.I is -16.707 to 72.17