An article reports the following values for soil heat flux of eight plots covered with coal dust. 37.9 35.2 37.9 37.2 35.3 28.5 18.1 24.1 USE SALT 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 = 0.05. State the appropriate hypotheses. ○ Ho: μ = 29 Haμ < 29 Ho: μ = 29 Ha: μ # 29 Hoi u = 29 : Ha μ > 29 Ho: μ # 29 Ha: M = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. Do not reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. Reject the null hypothesis. There is not sufficient evidence to conclude that there was an increase in mean heat flux. Do not reject the null hypothesis. There is not sufficient evidence to conclude that there was an increase in mean heat flux.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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An article reports the following values for soil heat flux of eight plots covered with coal dust.
37.9
35.2 37.9 37.2 35.3 28.5 18.1 24.1
USE SALT
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 = 0.05.
State the appropriate hypotheses.
○ Ho: μ = 29
Haμ < 29
Ho: μ = 29
Ha: μ # 29
Hoi u = 29
:
Ha μ > 29
Ho: μ # 29
Ha: M
= 29
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =
State the conclusion in the problem context.
Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux.
Do not reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux.
Reject the null hypothesis. There is not sufficient evidence to conclude that there was an increase in mean heat flux.
Do not reject the null hypothesis. There is not sufficient evidence to conclude that there was an increase in mean heat flux.
Transcribed Image Text:An article reports the following values for soil heat flux of eight plots covered with coal dust. 37.9 35.2 37.9 37.2 35.3 28.5 18.1 24.1 USE SALT 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 = 0.05. State the appropriate hypotheses. ○ Ho: μ = 29 Haμ < 29 Ho: μ = 29 Ha: μ # 29 Hoi u = 29 : Ha μ > 29 Ho: μ # 29 Ha: M = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. Do not reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux. Reject the null hypothesis. There is not sufficient evidence to conclude that there was an increase in mean heat flux. Do not reject the null hypothesis. There is not sufficient evidence to conclude that there was an increase in mean heat flux.
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