A physiologist believes he has discovered a new steroid hormone that can affect the blood glucose in reptiles. In an experiment he injects turtles with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the turtles. In his sixteen experimental turtles he obtains the following levels of blood glucose {2, 1, 3, 5, 2, 1, 1, 5, 3, 2, 1, 1, 2, 1, 1, 5}. From previous studies of thousandsof normal, un-manipulated turtles he knows that the mean (μ) blood glucose level in this species of turtle (his laboratory population) is 3. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an α-level of 0.01 for this analysis. A) What is the appropriate test? B) State the null hypothesis: C) State the alternative hypothesis: D) Find the critical value: E) Calculate the obtained statistic:
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A physiologist believes he has discovered a new steroid hormone that can affect the blood glucose in reptiles. In an experiment he injects turtles with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the turtles. In his sixteen experimental turtles he obtains the following levels of blood glucose {2, 1, 3, 5, 2, 1, 1, 5, 3, 2, 1, 1, 2, 1, 1, 5}. From previous studies of thousandsof normal, un-manipulated turtles he knows that the mean (μ) blood glucose level in this species of turtle (his laboratory population) is 3. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an α-level of 0.01 for this analysis.
A) What is the appropriate test?
B) State the null hypothesis:
C) State the alternative hypothesis:
D) Find the critical value:
E) Calculate the obtained statistic:
F) Make a decision:
G) What does your decision mean?
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