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Q.13.1

Expert-verified
Found in: Page 749

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# 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:${n}_{1}=3$Ground cover:${n}_{2}=3$Plastic:${n}_{3}=3$Straw:${n}_{4}=3$Compost:${n}_{5}=3$262553486583728562772997568285606897781849155482383092308677Create one-way ANOVA table

According to the output, the P-value is $.02$. So, at the $5%$ level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.

See the step by step solution

## Step-1 Given Information

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.

## Step-2 Explanation

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 $Ti-83$ calculator. For this, click on STAT$\to$ press1$\to$Edit, then put data into the list${L}_{1},{L}_{2},{L}_{3},{L}_{4},{L}_{5}$ the screenshot is given below:

Now Again press STAT $\to$ arrow over the TESTS$\to$ arrow down to ANOVA $\to$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 ${L}_{1},{L}_{2},{L}_{3},{L}_{4}$ and${L}_{5}$ 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 $.02$. So, at the $5%$ level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.

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