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Probability and Statistics for Eng...

9th Edition
Jay L. Devore
ISBN: 9781305251809

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BuyFindarrow_forward

Probability and Statistics for Eng...

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.

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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 μ be the true average soil heat flux for plots covered only with coal dust.

Step 2: Null hypothesis:

H0:μ=29

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

Step 3: Alternative hypothesis:

Ha:μ>29

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:

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