Question 1 - Normal Probability Distribution - By Hand

Suppose you are told that SBP (systolic blood pressure) of a group of people follow a normal probability distribution with a mean of 120 and standard deviation of 11.

a. What is the probability that a randomly selected person will have an SBP value of105 or greater?

b. What percentage of people will have an SBP value between 105 and 130?

Question 2 - Normal Probability Distribution - Solver

Using the same distribution above about SBP (systolic blood pressure). Once again assume that you have a normal probability distribution with a mean of 120 and standard deviation of 11. Take a screen snip of the solver results and post this along with your written solution.

a. What is the probability that a randomly selected person will have a SBP value of96.5 to 139.8?

b. What is the probability that a randomly selected person will have a SBP value of135 or greater?

c.What is the SBP that will give the top 10% of SBP values in this population? Round the value to 1 decimal place.

d.Bonus - Provide the lower and upper SBP values that would be considered outliers based on the rule for 3 SD's from the mean.Are these values biologically plausible?Explain.

PART 2

Question 1 - CI Around Proportion

A survey was taken from people at OUHSC on number of kids in their household. They randomly sampled 50 adults who came to OUHSC and asked them, 'How many children are in their households?' The results were recorded as follows:

Groups	Number of Children (<18)
0 - 2	23
3 or More	27
Total	50

a) Find the SE(P) for 3 or more kids.

b) Construct a 95% CI for the true proportion of households who have 3 or more kids. This should be done by hand. Show all work.

c) Interpret your result.

Question 2 - CI Around Mean

Suppose that you take a random sample and find the following weight data of people coming to OUHSC.

145	220	175	123	125
182	209	199	201	78
132	225	215	185	52
99	138	155	122	171

a) Plug the data into SPSS to get the mean and standard deviation of the sample. Provide your output from SPSS here.

b) Use your SD from part (a) to get the SE(mean).

c) Construct a 95% CI for the true weight of patients who go to OUHSC.

d) Interpret your solution in (c).

e) Now that you have calculated a 95% CI by hand, using SPSS verify your solution by doing it in SPSS. Provide your SPSS output and here.

Bonus: If you wanted to get a better estimate of the true weight, what could you do?Explain. What would you expect about the CI in each case. Hint:Think about n and alpha