A limnologist obtained seven containers of water from each of the four pounds. The pH of each water sample was measured. pH ond 1 7.68 7.69 7.70 7.70 7.72 7.73 7.73 ond 2 7.80 7.73 7.74 7.74 7.78 7.78 7.71 ond 3 7.74 7.75 7.77 7.78 7.80 7.81 7.84 ond 4 7.71 7.87 7.74 7.79 7.81 7.85 7.91 a. Present the plot of the residuals against the treatment means. Compute for the ratio hotwoon the largest and smallest varianco From the plot ratio and Lovono's tost toll
A limnologist obtained seven containers of water from each of the four pounds. The pH of each water sample was measured. pH ond 1 7.68 7.69 7.70 7.70 7.72 7.73 7.73 ond 2 7.80 7.73 7.74 7.74 7.78 7.78 7.71 ond 3 7.74 7.75 7.77 7.78 7.80 7.81 7.84 ond 4 7.71 7.87 7.74 7.79 7.81 7.85 7.91 a. Present the plot of the residuals against the treatment means. Compute for the ratio hotwoon the largest and smallest varianco From the plot ratio and Lovono's tost toll
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Transcribed Image Text:AMAT 131
2. A limnologist obtained seven containers of water from each of the four pounds. The pH of each
water sample was measured.
pH
Pond 1
7.68
7.69
7.70
7.70
7.72
7.73
7.73
Pond 2
7.80
7.73
7.74
7.74
7.78
7.78
7.71
Pond 3
7.74
7.75
7.77
7.78
7.80
7.81
7.84
Pond 4
7.71
7.87
7.74
7.79
7.81
7.85
7.91
a. Present the plot of the residuals against the treatment means. Compute for the ratio
between the largest and smallest variance. From the plot, ratio, and Levene's test, tell
whether the homoscedasticity assumption has been met or not.
b. Check the normality assumption by showing and describing the normal probability plot of
the residuals and the Shapiro-Wilk test. From the plot and the formal test, tell whether the
normality assumption has been met or not.
c. Is there significant variation in the pH level of the ponds? Perform the step by step
procedure of the hypothesis testing. Use a = 0.05.
d. If necessary, perform Tukey's test. Write the summary table showing the mean per
treatment and the appropriate superscripts. Write a short description about the test
results.
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