Question

In: Statistics and Probability

To study the metabolism of insects, researchers fed cockroaches measured amounts of a sugar solution. After...

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. 5 roaches fed the sugar D-glucose and dissected after 10 hours had the following amounts (in micrograms) of D-glucose in their hindguts:

55.95, 68.24, 52.73, 21.50, 23.78.

Consider these insects a random sample from the population of cockroaches and conduct a test to determine if the average level of D-glucose after 10 hours is less than 48 micrograms.

A) State the null and alternative hypothesis.

B) Calculate the test statistic. Show all work.

C) Find the p-value. Show work.

D) State the full conclusion, including an interpretation of what the evidence suggests.

Solutions

Expert Solution

So, we can conclude that the average level of D-glucose after 10 hours is significantly less than 48 micro grams.


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