A farmer wants to see if a new kind of fertilizer can help him grow better fruits. He prepares two separate plots of land and adds the fertilizer in one of those only. After a month he measure the weights of the fruits in each plot. Here are the results: plot 1 (no fertilizer) plot2 (fertilizer) sample mean Ino fert. = 3.5 Tfert. 3.8 sample standard deviation Sno fert. 0.8 Sfert. 0.9 sample size Ngo fert. = 120 nfert. = 110 Should this farmer invest in fertilizers? That is, is the mean weight of fruits significantly higher for the plot with fertilizer compared to the plot without it at the a = 0.1 level. Choose the appropriate set of hypotheses. O Ho : Hfert. – Huo fert. = 0 Ha : Hfert. - Hno fert. 7 0 Ho : ¤fcrt. – Tno fert. = 0 Ha : Ffort. – Fno fort. # 0 Ho : Hfert. - Hno fert. = 0 Ha : Hfert. - Hno fert. > 0 Ho : Tfert. – Tno fert. = 0 H. : Tfert. – Tno fert. > 0

MATLAB: An Introduction with Applications
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A farmer wants to see if a new kind of fertilizer can help him grow better fruits. He prepares two separate
plots of land and adds the fertilizer in one of those only. After a month he measure the weights of the fruits
in each plot. Here are the results:
plot 1 (no fertilizer)
plot2 (fertilizer)
sample mean
Ino fert. = 3.5
Tfert.
3.8
sample standard deviation
Sno fert.
0.8
Sfert.
0.9
sample size
Ngo fert. =
120
nfert. =
110
Should this farmer invest in fertilizers? That is, is the mean weight of fruits significantly higher for the plot
with fertilizer compared to the plot without it at the a = 0.1 level.
Choose the appropriate set of hypotheses.
O Ho : Hfert. – Huo fert. = 0
Ha : Hfert. - Hno fert. 7 0
Ho : ¤fcrt. – Tno fert. = 0
Ha : Ffort. – Fno fort. # 0
Ho : Hfert. - Hno fert. = 0
Ha : Hfert. - Hno fert. > 0
Ho : Tfert. – Tno fert. = 0
H. : Tfert. – Tno fert. > 0
Transcribed Image Text:A farmer wants to see if a new kind of fertilizer can help him grow better fruits. He prepares two separate plots of land and adds the fertilizer in one of those only. After a month he measure the weights of the fruits in each plot. Here are the results: plot 1 (no fertilizer) plot2 (fertilizer) sample mean Ino fert. = 3.5 Tfert. 3.8 sample standard deviation Sno fert. 0.8 Sfert. 0.9 sample size Ngo fert. = 120 nfert. = 110 Should this farmer invest in fertilizers? That is, is the mean weight of fruits significantly higher for the plot with fertilizer compared to the plot without it at the a = 0.1 level. Choose the appropriate set of hypotheses. O Ho : Hfert. – Huo fert. = 0 Ha : Hfert. - Hno fert. 7 0 Ho : ¤fcrt. – Tno fert. = 0 Ha : Ffort. – Fno fort. # 0 Ho : Hfert. - Hno fert. = 0 Ha : Hfert. - Hno fert. > 0 Ho : Tfert. – Tno fert. = 0 H. : Tfert. – Tno fert. > 0
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