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