Self-Check 12.3, 12.5, 13.1, 13.2, 13.3, 11.3
- Page ID
- 36534
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Self-Check 12.3, 12.5, 13.1, 13.2, 13.3, 11.3
1. Find the regression line and the best predicted cost of a ticket purchased one day in advance, given that the cost of the ticket is $300 if purchased 30 days in advance.
|
30 Days |
244 |
260 |
264 |
264 |
278 |
318 |
280 |
|
One Day |
456 |
614 |
567 |
943 |
628 |
1088 |
536 |
- Calculator work
- Find a, b
- Find the regression line
- Find Critical Value and compare with r and state conclusion about linear correlation
- Find the best predicted cost of a ticket purchased one day in advance, given that the cost of the ticket is $300 if purchased 30 days in advance.
2. As part of an experiment to see how different types of soil cover would affect slicing tomato production, Marist College students grew tomato plants under different soil cover conditions. Groups of three plants each had one of the following treatments:
- bare soil
- a commercial ground cover
- black plastic
- straw
- compost
All plants grew under the same conditions and were the same variety. Students recorded the weight (in grams) of tomatoes produced by each of the n = 15 plants:
|
Bare |
Ground Cover |
Plastic |
Straw |
Compost |
|
2625 |
5348 |
6583 |
7285 |
6277 |
|
2997 |
5682 |
8560 |
6897 |
7818 |
|
4915 |
5482 |
3830 |
9230 |
8677 |
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim
3. The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. The table below shows the results:
|
Industry Sector |
2000 |
2010 |
2020 |
|
Non-agriculture wage and salary |
13,243 |
13,044 |
15,018 |
|
Goods-producing, excluding agriculture |
2,457 |
1,771 |
1,950 |
|
Services-providing |
10,786 |
11,273 |
13,068 |
|
Agriculture, forestry, fishing, and hunting |
240 |
214 |
201 |
|
Non-agriculture self-employed and unpaid family worker |
931 |
894 |
972 |
|
Secondary wage and salary jobs in agriculture and private household industries |
14 |
11 |
11 |
|
Secondary jobs as a self-employed or unpaid family worker |
196 |
144 |
152 |
We want to know if the change in the number of jobs is independent of the change in years. Test at a 5% significance level.
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim