Data for questions below (student data for this particular section class of Stats)

Individual#/ Gender/ Foot Length cm/ Height cm/ Age/ Armspan cm/  #in Family

1             F         23              159     55     148         8
2             F         23              158     26     155         3
3             F         22              161     37     156         5
4             M         24              170     50     175         5
5             F         23              152     31     160         4
6             F         23              165     30     169         4
7             M         27              183     41     170         5
8             F         19              163     27     152         4
9             M         27              169     35     170         3
10            M         29              186     41     190         4
11            F         21              149     29     151         4
12            F         26              155     28     153         4
13            F         24              161     47     159         3
14            F         25              167     25     168         5
15            F         24              163     31     159         4
16            F         27              171     20     172         3
17            F         24              167     35     167         4
18            F         25              193     29     178         2
19            F         23              163     31     160         5
20            F         23              160     20     173         4
21            F         24              163     27     161         3
22            F         22              160     30     149         7
23            M         28              193     32     186         6
24            F         25              172     24     186         5

1.	Determine the mean age of students in this course.  What would be
wrong with using the mean of this class? age data as the average age
of all SSU students that take Elements of Statistics?

2.	For argument sake, let?s assume that the age data for the class was
collected from randomly selected students taking classes from SSU?even
though we know it wasn?t.  Determine the margin of error in estimating
the population mean from our sample?s mean based upon a 95% level of
confidence.  (You may assume that previous research has demonstrated
the population standard deviation on ages of similar groups of people
is about 6 years.)  Then use your margin of error value to give the
95% confidence interval for the population mean age as predicted from
the sample results.


3.	Explain the meaning of the ?95%? in the above statement(question 2).


4.	Knowing that we may have used too small of sample size for the
desired accuracy in estimating the population mean (our margin of
error value in 2 is greater than desired), determine the sample size
needed to predict the average age of all SSU students based upon a
needed 95% confidence level with an error of no more than 1 year. 
Does it seem reasonable to collect that size of sample?  Explain your
position.


5.	Repeat problem 2 above but with respect to the ?Number in Family?
data and for a 90% confidence level. (Assume that previous research
has demonstrated the population standard deviation on family size is
about 1.2 people.)  Make sure to give the error and the confidence
interval.