The data set at the end of this hand out includes the result

The data set at the end of this hand out includes the results of a survey given to my statistics students during the Fall 2012 semester. Use this data set to answer the following questions. Put your results in a semi-professional looking report. Make sure to include your name, date, title, page numbers, etc.

Part 1: Introduction (5 points)

Provide a short introduction to the project (e.g. describe the sample and what you will analyze in the project).

Part 2: CI for µ (20 points—5 points for each item below)

List the summary statistics (i.e. sample average, standard deviation, sample size, and anything else you would like to include) for the weekly computer usage (measured in hours per week). Note: You will need to use a computer or calculator to calculate and s.
Create a 95% CI for the true average weekly computer usage for all OHHS students. (Note: you do not need to show your work).
Practically interpret this confidence interval.
Theoretically interpret the phrase “95% confident.”

Part 3: CI for p (20 points—5 points for each item below)

State the number of students who have at least one tattoo.
Find and interpret that value.
Create a 90% CI for the true percentage of all HCC SouthShore students that have at least one tattoo.
Practically interpret this confidence interval.

Part 4: Conclusion (5 points)

Provide a short conclusion. Your conclusion may include assumptions made, potential problems with the analysis, what you learned, or anything else you want to say to tie the results together neatly.

Data for this project:

Note: Weekly computer usage was measured in hours / week. One student reported that they used the computer \"a lot.\" It is up to you how you want to handle this observation, just make sure you discuss how you addressed that issue in the conclusion. You may wish to copy/paste this data in Excel so you can analyze it more easily.

Weekly Computer Usage

Opinion of Tattoos
14 Have one or more
16 Like them, but not for me
20 Have one or more
20 Dislike them
20 Have one or more
20 Want one
5 Like them, but not for me
50 Want one
8 Like them, but not for me
6 Want one
3 Want one
8 Like them, but not for me
10 Like them, but not for me
20 Like them, but not for me
100 Dislike them
6 Have one or more
60 Like them, but not for me
20 Have one or more
19 Dislike them
10 Want one
7 Have one or more
10 Have one or more
20 Have one or more
6 Want one
12 Like them, but not for me
a lot Want one
21 Want one
20 Have one or more
25 Have one or more
8 Want one
5 Want one
1 Have one or more
55 Have one or more
4 Dislike them
10 Have one or more
10 Like them, but not for me
4 Like them, but not for me
15 Want one
10 Like them, but not for me
20 Have one or more
6 Want one
7.5 Dislike them
6 Like them, but not for me
4 Like them, but not for me
6 Want one
4 Like them, but not for me
5 Have one or more
5 Want one
10 Have one or more
12 Have one or more
10.5 Want one
25 Have one or more
20 Want one
12.5 Dislike them
90 Like them, but not for me
4 Have one or more
13 Want one
20 Have one or more

Solution

1)

Sample Average 16.5431

Sample Standard Deviation 19.0146

Sample Size 58

2.

95% CI

(11.65, 21.44)

95% Confidence interval means we will get a sample with mean between 11.65,21.44.

If repeated samples were taken and the 95% Ci was computed for each sample, 95% of the intervals would contain the population mean.

So here this will contain the population mean time spent in computers by students

3.

Number of students having atleast one tatoo = 20

i.e 35% of the total students have atleast one or more tattoo

90% CI for p is given as

(0.33132, 0.35828)

If repeated samples were taken and the 90% Ci was computed for each sample, 90% of the intervals would contain the population mean.

So here this will contain the population proportion of students who have one or more tatoo