Assignment on Quantitative Thinking

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Quantitative Thinking
Name:
Institution:

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Question 1
a) Hypothesis Testing
Null hypothesis: There is no mean difference in cell density between fungicide and
water treatment.
Alternative hypothesis: There is a mean difference in cell density between fungicide
and water treatment.
H0 :μ1 =μ2
H1 : μ1 ≠ μ2
b) The above test is a two-tailed test since it seeks to exhibit a difference between mean
either less or more than.
c) Since the p-value 0.0025 is less than the significance level 0.01 the null hypothesis is
rejected thus there is a mean difference in cell density between fungicide and water
treatment.
Question 2
a) Regression equations
Regression Equation Slope Y-intercept
A ( y=0.0106+0.0042 x) 0.0042 0.0106
B ( y=0.0106+0.0042 x) 0.0042 0.0106
b) Among the two models, A is the best since it recorded a higher R-square value of
0.9961.
c) Sonia can use the absorbance of the diluted sample only because its absorbance falls
within the limits (0, 0.5) of absorbance at 595nm standard curve A
d) Protein concentration
y=0.0106+0.0042 x =0.0106+0.0042∗0.261=0.0106+ 0.0011=0.0116