Question

1) The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 19 laboratory blood tests during the past year. Her average HC is 15.37 with s = 1.8. Is there evidence that her average HC is not 14?

(a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)
H0H0 :
HaHa :

(b) Find the test statistic

(c) Answer the question: Is there evidence that her average HC is not 14? (Use a 1% level of significance)
(Type: Yes or No)

2)

One of the most feared predators in the ocean is the great white shark. It is known that the white shark grows to a mean length of 2121 feet; however, one marine biologist believes that great white sharks off the Bermuda coast grow much longer. To test this claim, full-grown white sharks were captured, measured, and then set free. However, this was a difficult, costly and very dangerous task, so only four sharks were actually sampled. Their lengths were 25, 21, 26,and 2325, 21, 26,and 23 feet. Do the data provide sufficient evidence to support the claim? Use α=0.01α=0.01.

(a) Calculate the test statistic:

(b) Find the critical value for z or t =

(c) The final conclusion is
A. We can reject the null hypothesis that the average length of the shark is 2121.
B. There is not sufficient evidence to reject the null hypothesis that the average length of the shark is 2121.

Answer 1

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