An article reports the following values for soil heat flux of eight plots covere

Question

An article reports the following values for soil heat flux of eight plots covered with coal dust. 34.8 34.9 34.8 33.8 34.3 28.0 18.3 24.1 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 = 0.05 State the appropriate hypotheses Ho: = 29 Ha: > 29 O Ho: = 29 Ha: +29 O Ho: = 29 Ha:

Explanation / Answer

t-statistic = (x-)/(s/n)

we have =29

n=8

s=39.65 (Variance of the sample to be calcutaed from the 8 samples)

x=30.375 (Sample mean of the 8 observations)  

t-statistic= (30.375-29)/(39.65/8)

= 1.375/14.06

=0.097

P-value from t-table, at 7 degress of freedom and 95% confidence level is 2.365

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