-/10 points DevoreSt#9 &.E.C62 An article reports the following values for soil
ID: 3369942 • Letter: #
Question
-/10 points DevoreSt#9 &.E.C62 An article reports the following values for soil heat flux of eight plots covered with coal dust. My Notes Ask Your 32.8 37.5 32.8 34.7 35.2 28.0 18.6 24.5 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 0H0: 11 29 Ha: ? > 29 Hai ? 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.) P-value State the conclusion in the problem context O Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux O Do not reject the null hypothesis. There is not sufficient evidence to O Reject the null hypothesis. There is not sufficient evidence to conclude O Do not reject the null hypothesis. There is sufficient evidence to conclude conclude that there was an increase in mean heat flux that there was an increase in mean heat flux that there was an increase in mean heat fluxExplanation / Answer
first hypothesis is appropriate
because we test for increase effective coal dust
R code
####R code
x=c(32.8,37.5,32.8,34.7,35.2,28.0,18.6,24.5)
mean=29
t.test(x,y = NULL,mean,alternative = "greater",paired = FALSE)
##output
One Sample t-test
data: x
t = 0.67262, df = 7, p-value = 0.2614
alternative hypothesis: true mean is greater than 29
95 percent confidence interval:
26.25219 Inf
sample estimates:
mean of x
30.5125
0.2614 > 0.05,
so we have enough evidence to do not reject the null hypothesis and reject the claim.
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