The numbers of home runs that Sammy Sosa hit in the first 15 years of his major league baseball career are listed below. Make a stem-and-leaf plot for this data. What can you conclude about the data?
4 15 10 8 33 25 36 40 36 66 63 50 64 49 40

Stem     Leaf

0        |  4  8

1         |  0  5

2        |  5

3        |  3  6  6

4        |  0  0  9

5        |  0  

6        |  3  4  6

Notation : 0|4 means 04 or 4 , 4|9 means 49/

For this case we can conclude that the distribution is approximately symmetrical.

For the 5 number summary we have

Minimum = 4 , Q1= 20 , Median =36, Q3= 49.5 , Maximum = 66

The mean for this case is Mean= 35.93

And as we can see since the mean is similar to the the median

The mode is 40 and 36 (bimodal distribution) with frequency of 2

Step-by-step explanation:

Data given:

4 15 10 8 33 25 36 40 36 66 63 50 64 49 40

For this case the first step is order the dataset on increasing way and we got:

4  8 10 15 25 33 36 36 40 40 49 50 63 64 66

Now we can construct the stem leaf plot like this:

Stem     Leaf

0        |  4  8

1         |  0  5

2        |  5

3        |  3  6  6

4        |  0  0  9

5        |  0  

6        |  3  4  6

Notation : 0|4 means 04 or 4 , 4|9 means 49/

For this case we can conclude that the distribution is approximately symmetrical.

For the 5 number summary we have

Minimum = 4 , Q1= 20 , Median =36, Q3= 49.5 , Maximum = 66

The mean for this case is Mean= 35.93

And as we can see since the mean is similar to the the median

The mode is 40 and 36 (bimodal distribution) with frequency of 2

The 95% confidence interval for the proportion of all students who would report drinking any alcohol in the past year is (0.818, 0.856).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

For this problem, we have that:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of all students who would report drinking any alcohol in the past year is (0.818, 0.856).