Question 541224: Questions 25 and 26 – Essay: Selecting a Level of Significance. For each of the following situations, choose a level of significance (a) appropriate to the seriousness of the potential error involved should the null hypothesis be rejected when it is actually true. Explain in detail your choice of a.
25. (3 points). You wish to decide on whether a new treatment for pancreatic cancer, known to be a fatal disease, is superior to the standard treatment.
26. (3 points). The claim is made that the mean income for families of size four is greater than 40,000 dollars.
Questions 27 and 28 – Hypothesis Testing: Use the four step process to complete the following Hypothesis Tests: Outline each step in detail.
27. It is determined that the 100 subjects have a sample mean serum cholesterol level of 217 and the sample standard deviation is 39. If the desirable serum cholesterol level is set at 200, would you have concerns about elevated serum cholesterol level in this sample? Use = .05
Step 1 (2 points)
Step 2 (2 points)
Step 3 (2 points)
Step 4 (6 points) Hint: Here you should answer the questions based on the steps 1-3.
28. A researcher wanted to determine whether a program for routine cholesterol screening for college men
would identify high serum cholesterol levels. The researcher decided that above 200 would be high. Twenty
students were randomly selected for cholesterol screening, and the results were given below. Is there any
evidence that asymptomatic college men have elevated serum cholesterol values? Would a large-scale screening
program be warranted? Use = .05
160 210 200 230 210 150 220 190 210 220
160 220 240 180 200 200 210 170 180 220
You should be able to confirm that the x 199 and s = 25.11
Step 1 (2 points)
Step 2 (2 points)
Step 3 (2 points)
Step 4 (6 points) Hint: Here you should answer the questions based on the steps 1-3.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 25. (3 points). You wish to decide on whether a new treatment for pancreatic cancer, known to be a fatal disease, is superior to the standard treatment.
Ans: 99% because it is a life-and-death decision.
------------------------------
26. (3 points). The claim is made that the mean income for families of size four is greater than 40,000 dollars.
Ans: 90 or 95 should be suitable as the answer is not critical.
----------------------------------
Questions 27 and 28 – Hypothesis Testing: Use the four step process to complete the following Hypothesis Tests: Outline each step in detail.
27. It is determined that the 100 subjects have a sample mean serum cholesterol level of 217 and the sample standard deviation is 39.
If the desirable serum cholesterol level is set at 200, would you have concerns about elevated serum cholesterol level in this sample? Use = .05
Step 1
Ho: u = 200
Ha: m > 200 (claim)
----------------
Step 2
test stat: t = (217-200)/[39/sqrt(100)] = 17/[3.9] = 4.36
--------
Step 3 p-value = P(t > 4.36 when df = 99) = 0.0000159
Step 4 Since the p-value is less than 55, reject Ho.
The test results support the claim the at the tested level is elevated
and you should be concerned.
================
28. A researcher wanted to determine whether a program for routine cholesterol screening for college men would identify high serum cholesterol levels. The researcher decided that above 200 would be high. Twenty students were randomly selected for cholesterol screening, and the results were given below. Is there any evidence that asymptomatic college men have elevated serum cholesterol values? Would a large-scale screening
program be warranted? Use = .05
160 210 200 230 210 150 220 190 210 220
160 220 240 180 200 200 210 170 180 220
---
Comment: find the sample mean and follow the same steps
used in problem # 27
=======================
You should be able to confirm that the x 199 and s = 25.11
Step 1 (2 points)
Step 2 (2 points)
Step 3 (2 points)
Step 4 (6 points) Hint: Here you should answer the questions based on the steps 1-3.
==================
Cheers,
Stan H.
====================
|
|
|
