i need help with 2 statistics questions?

ISE 2211 Statistical Analysis Project Spring 2015

The course project consists of evaluating, analyzing, interpreting, and reporting on a set of sample data. The project is

intended to be a team effort. Teams are specified in a spreadsheet available on Pilot. Scores will be awarded for

the overall project and each individual student will share in the project score as indicated by the self-critique and the

partner-critique assessments. Projects submitted late will automatically receive 40% point deduction.

Completed projects due no later than Wednesday, April 22, 2015.

The sample data represents a survey of 100 students from various colleges in the Midwest.

Use the following key to interpret the data.

Subject Sequential subject number

Age Chronological age in years

Sex 1 = Male 2 = Female

Height Measured to the nearest 0.5 inch

Pulse Rate Resting pulse rate in beats per minute

Smoker 1 = Yes 2 = No

Exercise 1 = Vigorously exercises at least twice a week for 40 minutes 2 = No

Data file available on Pilot. The use of a spreadsheet and its statistical functions can be a convenient time saver.

Specifically, your task is to perform the following statistical analyses and discuss your findings in a formal report.

REMEMBER, USE THE SAMPLE DATA TO DRAW INFERENCES ABOUT A POPULATION !!!!

1. What is the inferred population and what is the estimated number of students in the population?

Note: The 100 Midwestern college students are the sample, NOT the population!

2. Calculate the Mean, Standard Deviation, Minimum, Maximum, Median, and Range for Height and Pulse Rate.

3. Determine the 95 % Confidence Interval for the Population Mean of the

a. Height b. Pulse Rate

4. Determine the 95 % Confidence Interval for the Population Proportion of the students who

a. Smoke b. Exercise

5. Calculate the correlation coefficient, the test statistic value, the critical value, and determine whether or not there

is statistical correlation between the two specified variables. If a statistically significant correlation does exist, use the

value of the regressor variable X to predict the value of the response variable Y. (Level of Significance α = 0.05)

Variables Regressor Value Response Variable

Age & Height Age = 24 years Height

Age & Pulse Rate Age = 24 years Pulse Rate

Height & Pulse Rate Height = 71.5 inches Pulse Rate

6. Test each of the following claims regarding the population (Level of Significance α = 0.05).

The average height of Midwestern college students is less than the average height of all U.S. students (68.5”).

The percentage of males who smoke is greater than the percentage of females who smoke.

Hint: M&R Textbook: 4ed, Page 379, Section 10-6; 5ed, Page 389, Section 10-6

The pulse rate for smokers is higher than the pulse rate of non-smokers.

Hint: Assume unequal variances, i.e., assume σ 1

2

≠ σ 2

2

; test the hypothesis H 0 : µ

1 = µ

2 .

7. Report Format: Your three page report must be completed via word processor and printed out as a hard copy.

Only one report is required per team. The first page should be a coversheet with the team member's names. The

second page should be a succinct list of your calculated values for questions 1 through 6. The third page should

include a tentative explanation of your findings; do not include equations or calculations. In addition, be sure to

include a brief discussion of any assumptions you made about the data as well as a suggested method for selecting a

similar set of college students for future surveys. Finally, you must include an assessment sheet from each member of

the team. You must complete the affidavit on the assessment sheet.

Any student failing to submit a completed assessment sheet will not receive any credit for their report.

Any student failing to submit a report may suffer a one letter grade reduction regardless of their total points.