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Q.13.1
Expert-verifiedAs 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 plants:
Bare: | Ground cover: | Plastic: | Straw: | Compost: |
2625 | 5348 | 6583 | 7285 | 6277 |
2997 | 5682 | 8560 | 6897 | 7818 |
4915 | 5482 | 3830 | 9230 | 8677 |
Create one-way ANOVA table
According to the output, the P-value is . So, at the level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.
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.
Consider the following data of soil covers to check the mean number of tomato production were same
Bare; | Ground cover; | Plastic; | Straw; | Compost; |
2625 | 5348 | 6583 | 7285 | 6277 |
2997 | 5682 | 8560 | 6897 | 7818 |
4915 | 5482 | 3830 | 9230 | 8677 |
To check the mean number of number of tomato production were same, use calculator. For this, click on STAT press1Edit, then put data into the list the screenshot is given below:
Now Again press STAT arrow over the TESTS arrow down to ANOVA Press var then select 1, press var then select 2, press var then select 3, press var then select 4 and press var then select 5 to fill the values of and The screen shot is given as below:
Press ENTER, the screenshot of the obtained output is igiven below:
According to the above output, the P-value is . So, at the level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.
A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed individuals and asked them their daily one-way commuting mileage. The results are as follows.
working-class | professional (middle incomes) | professional (wealthy) |
17.8 | ||
19.5 | 15.4 | 15.4 |
51.2 | 13.9 | 9.3 |
Determine whether or not the variance in mileage driven is statistically the same among the working class and professional (middle income) groups. Use a 5% significance level.
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