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Q.13.1

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Introductory Statistics
Found in: Page 749
Introductory Statistics

Introductory Statistics

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

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Short Answer

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=15plants:

Bare:n1=3Ground cover:n2=3Plastic:n3=3Straw:n4=3Compost:n5=3
26255348658372856277
29975682856068977818
49155482383092308677

Create 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.

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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;
26255348658372856277
29975682856068977818
49155482383092308677

To check the mean number of number of tomato production were same, use Ti-83 calculator. For this, click on STAT press1Edit, then put data into the listL1,L2,L3,L4,L5 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 L1,L2,L3,L4 andL5 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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