To study the metabolism of insects, researchers fed cockroaches measured amounts
ID: 3222973 • Letter: T
Question
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:
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¯¯¯
= 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 _____
Explanation / Answer
The mean = 44.44 , standard deviation = 20.74
The critical value (±0.001) from the distribution for 98% confidence interval is: 3.745
98% confidence interval t value = 3.744
CI = mean + / - t * ( s / sqrt(n))
= 44.44 + /- 3.744 * ( 20.74 / sqrt(5))
= (9.712 , 79.168)
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