# Single Parenting

## Single Parenting

Math 119 Project
Part I
1. Frequency Table

2. Histogram

3. Split Stemplot

4. mean: 21
standard deviation: 3.247
minimum: 18
first quartile: 19
median: 20
third quartile: 22
maximum: 38
5. outliers: 27,27,28,29,38
lower fence: 19 - 1.5(3) = 14.5
upper fence: 22 + 1.5(3) = 26.5
6.

7. mean > median right skewed
Median is a more representative measure of center. Skews and outliers are present and the median is not influenced by outliers.
Part II
1. Contingency Table

2. P(F and D) = 0.134
3. P(M or N) = 0.91
4. P(F|R) = 0.0741
5. P(F) = 27/67 = 0.403 ≠ P(F|R) Dependent
Part III
1. Discrete Probability Distribution Table

2. a) Probabilities sum up to 1.
b) Each probability is between 0 and 1. 0 ≤ p(x) ≤ 1
3. p = 0.246
4. mean: 2.168
standard deviation: 1.294
Part IV
1. p = 0.821
2. x = 0 through n n = 15
a) Fixed number of trials. (students) n = 15
b) Each student is born in the United States independent of other students.
3. p(x = 7) = binompdf (15,0.821,7) = 0.00171
4. p(x ≥ 13) = binompdf (15,0.821,12) = 0.481
Part V
1. (3.026, 25.136)
2. We are 95% confident the true population mean of hours students in Mrs. Holcombe's Math 119 class work per week is between 3.026 and 25.156.
3. Yes, because 15 is within the confidence interval of 3.026 and 25.156.

Part VI
1. Ho: p = 0.2 Ha: p ≠ 0.2
2. z = -1.344
3. p = 0.179
4. 0.179 > 0.05 Fail to reject Ho
5. We do not have evidence the proportion of students who drink coffee daily in Mrs. Holcombe's classes differs from the 20% of daily coffee drinkers campus wide.
Part VII
1. y = -195.743 + 5.285x
2. r = 0.572
general: positive, moderate, linear
specific: as
3. slope: 5.285
For every 1 inch increase in height, weight increases by 5.285 pounds.
4. residual: -21.357