Lab Assignment 10.4, 12.2, 12.4
- Page ID
- 36527
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Lab Assignment 10.4, 12.2, 12.4
1. A new prep class was designed to improve SAT test scores. Five students were selected at random. Their scores on two practice exams were recorded, one before the class and one after. The data recorded in the table below. Are the scores, on average, higher after the class? Test at a 5% level.
|
SAT Score |
Student 1 |
Student 2 |
Student 3 |
Student 4 |
|
Score before class |
1840 |
1960 |
1920 |
2150 |
|
Score after class |
1920 |
2160 |
2200 |
2100 |
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim
- Test the above claim by constructing an appropriate confidence interval.
1
2. Five ball players think they can throw the same distance with their dominant hand (throwing) and off-hand (catching hand). The data were collected and recorded in the table below. Conduct a hypothesis test to determine whether the mean difference in distances between the dominant and off-hand is significant. Test at the 5% level.
|
Player 1 |
Player 2 |
Player 3 |
Player 4 |
Player 5 |
|
|
Dominant Hand |
120 |
111 |
135 |
140 |
125 |
|
Off-Hand |
105 |
109 |
98 |
111 |
99 |
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim
- Test the above claim by constructing an appropriate confidence interval.
2
3. The following table shows the poverty rates and cell phone usage in the United States. Use a 0.05 significance level to test the claim that there is a linear correlation between the poverty rate and the cellular usage per capita.
|
Year |
Poverty Rate |
Cellular Usage per Capita |
|
2003 |
12.7 |
54.67 |
|
2005 |
1206 |
74.19 |
|
2007 |
12 |
84.86 |
|
2009 |
12 |
90.82 |
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic, P-Value and Linear correlation coefficient r
- Conclusion about the null hypothesis
Method 1:
Method 2:
- Final conclusion that addresses the original claim
3
4. The table below shows the life expectancy for an individual born in the United States in certain years. Use a 0.05 significance level to test the claim that there is a linear correlation between the life expectancy for an individual born in the United States in certain years.
|
Year of Birth |
Life Expectancy |
|
1930 |
59.7 |
|
1940 |
62.9 |
|
1950 |
70.2 |
|
1965 |
69.7 |
|
1973 |
71.4 |
|
1982 |
74.5 |
|
1987 |
75 |
|
1992 |
75.7 |
|
2010 |
78.7 |
) Null and Alternative Hypothesis
- Calculator Work
- Test Statistic, P-Value and Linear correlation coefficient r
- Conclusion about the null hypothesis
Method 1:
Method 2:
- Final conclusion that addresses the original claim