A farmer wants to compare the performance of a new fertilizer to the current brand. Using the current fertilizer, each acre of farm yields a mean of u = 7 tons of kalo in a growing season, and the farmer hypothesizes that the new fertilizer will be no different. To investigate, the farmer grows nine one-acre plots of kalo with the new fertilizer and records the yield of each plot. 4.65 13.62 2.61 6.57 11.88 9.34 8.44 10.75 4.51 The output of a statistical analysis software on this dataset is shown below Std. Std. N Mean 95% CI Dev. Err. ( 5.182, 10.9) 9 8.041 3.719 1.24 Hypothesis test of µ = 7 against µ #7 T-value P-value 0.84 0.426

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A farmer wants to compare the performance of a new
fertilizer to the current brand. Using the current fertilizer,
each acre of farm yields a mean of u = 7 tons of kalo in a
growing season, and the farmer hypothesizes that the new
fertilizer will be no different.
To investigate, the farmer grows nine one-acre plots of
kalo with the new fertilizer and records the yield of each
plot.
4.65
13.62
2.61
6.57
11.88
9.34
8.44
10.75
4.51
The output of a statistical analysis software on this dataset
is shown below
Std.
Std.
N
Mean
95% CI
Dev.
Err.
( 5.182,
10.9)
9
8.041
3.719
1.24
Hypothesis test of µ = 7 against µ #7
T-value
P-value
0.84
0.426
Transcribed Image Text:A farmer wants to compare the performance of a new fertilizer to the current brand. Using the current fertilizer, each acre of farm yields a mean of u = 7 tons of kalo in a growing season, and the farmer hypothesizes that the new fertilizer will be no different. To investigate, the farmer grows nine one-acre plots of kalo with the new fertilizer and records the yield of each plot. 4.65 13.62 2.61 6.57 11.88 9.34 8.44 10.75 4.51 The output of a statistical analysis software on this dataset is shown below Std. Std. N Mean 95% CI Dev. Err. ( 5.182, 10.9) 9 8.041 3.719 1.24 Hypothesis test of µ = 7 against µ #7 T-value P-value 0.84 0.426
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