Discuss the following:
1. 10 undergraduate Statistics Students are enrolled in class. If its known that the probability of passing his course (with a B or above) is 70%; calculate the mean and the standard deviation for this binominal distribution.
2. A national trend predicts that woman will account for half of all business travellers in 2007. To attract these women hotels are offering amenities that woman particularly like. A recent survey of American Hotels found that 70% offers hairdryers in bathrooms. Consider a random and independant sample of 20 hotels. Find the probability that more than 7 but less than 13 of the hotels in the sample offered hairdryers in the bathrooms
3. The Marine Corps Height Requirements for Men: The US Marine Corps requires that men have heights between 64" and 78" (The National Health Survey shows that heights of men are normally distributed with a mean of 69.0" and a standard deviation of 2.8"). Find the following:
4. Find the precentage of men meeting those height requirements. Are too many men denied the opportunity to join the Marines because they are too short or too tall?
5. If you are appointed to be the Secretary of Defense and you want to change the requirement so that only the shortest 2% and the tallest 2% of all men are rejected, what are the new minimum and maximum height requirements?
6. If 64 men are randomly selected, find the probability that their mean height is greater than 68.0"
Correlation/Regression
Scenario
Is there a correlation between ones hair length and ones level of intelligences (I.Q.)? Samples of 5 individuals were recorded measuring hair length to I.Q
|
Hair Length--Inches (X)
|
I.Q. (Y)
|
|
36
|
176
|
|
5
|
120
|
|
23
|
100
|
|
18
|
88
|
|
0 (Bald)
|
145
|
|
24
|
134
|
After determining the correlation, please do the following
a) Draw the scatter diagram
b) Calculate the Regression Slope and Y-Intercept
c) Draw the Regression Line on the Scatter Diagram
d) Predict the possible IQ with a person who has Approx. 15th inches of hair.