Chapter 8, Problem 62SE

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9th Edition

Jay L. Devore

ISBN: 9781305251809

Textbook Problem

The article **“Orchard Floor Management Utilizing Soil-Applied Coal Dust for Frost Protection” ( Agri. and Forest Meteorology, 1988: 71–82)** reports the following values for soil heat flux of eight plots covered with coal dust.

The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using *α* = .05.

To determine

Test whether the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass.

Explanation

**Given info:**

The values for soil heat flux of eight plots covered with coal dust are given. The mean soil heat flux for plots covered only with grass is 29. The level of significance is 0.05.

**Calculation:**

*Step 1: Parameter of interest:*

Let

*Step 2: Null hypothesis:*

That is, the mean soil heat flux for plots covered only with coal dust is 29.

*Step 3: Alternative hypothesis:*

That is, the mean soil heat flux for plots covered only with coal dust is more than 29.

*Step 4: Test statistic:*

**Software procedure:**

Step by step procedure to obtain the test-statistic value using the MINITAB software:

- Choose
**Stat > Basic Statistics > 1-Sample**.*t* - In
**values from table,**enter the column of coal dust - In
**Perform hypothesis test,**enter the test mean as 29. - Check
**Options**; enter**Confidence level**as**95**. - Choose
**greater than**in**alternative**. - Click
**OK**in all dialogue boxes.

Output using the MINITAB software is given below:

Sect-8.1 P-1ESect-8.1 P-2ESect-8.1 P-3ESect-8.1 P-4ESect-8.1 P-5ESect-8.1 P-6ESect-8.1 P-7ESect-8.1 P-8ESect-8.1 P-9ESect-8.1 P-10E

Sect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.2 P-15ESect-8.2 P-16ESect-8.2 P-17ESect-8.2 P-18ESect-8.2 P-19ESect-8.2 P-20ESect-8.2 P-21ESect-8.2 P-22ESect-8.2 P-23ESect-8.2 P-24ESect-8.2 P-25ESect-8.2 P-26ESect-8.2 P-27ESect-8.2 P-28ESect-8.3 P-29ESect-8.3 P-30ESect-8.3 P-31ESect-8.3 P-32ESect-8.3 P-33ESect-8.3 P-34ESect-8.3 P-35ESect-8.3 P-36ESect-8.3 P-37ESect-8.3 P-38ESect-8.3 P-39ESect-8.3 P-40ESect-8.3 P-41ESect-8.4 P-42ESect-8.4 P-43ESect-8.4 P-44ESect-8.4 P-45ESect-8.4 P-46ESect-8.4 P-47ESect-8.4 P-48ESect-8.4 P-49ESect-8.4 P-50ESect-8.4 P-51ESect-8.4 P-52ESect-8.5 P-53ESect-8.5 P-54ESect-8.5 P-55ESect-8.5 P-56ECh-8 P-57SECh-8 P-58SECh-8 P-59SECh-8 P-60SECh-8 P-61SECh-8 P-62SECh-8 P-63SECh-8 P-64SECh-8 P-65SECh-8 P-66SECh-8 P-67SECh-8 P-68SECh-8 P-69SECh-8 P-70SECh-8 P-71SECh-8 P-72SECh-8 P-73SECh-8 P-74SECh-8 P-75SECh-8 P-76SECh-8 P-77SECh-8 P-78SECh-8 P-79SECh-8 P-80SE

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