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2 answers:
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Answer:
(a) Anova table is attached below.
(b) The population means of milk yield are different among the three diet types
Step-by-step explanation:
In this case we need to perform a One-way ANOVA to determine whether the effect of three diet types on the milk yield of cows are significantly different or not.
The hypothesis can be defined as follows:
<em>H</em>₀: The effect of three diet types on the milk yield of cows are same.
<em>Hₐ</em>: The effect of three diet types on the milk yield of cows are significantly different.
(a)
The formulas are as follows:
The F critical value is computed using the Excel formula:
F critical value=F.INV.RT(0.05,2,24)
The ANOVA table is attached below.
(b)
The rejection region is defined as follows:
F > F (2, 24) = 3.403
The computed F statistic value is:
F = 34.069
F = 34.269 > F (2, 24) = 3.403
The null hypothesis will be rejected.
Thus, concluding that the population means of milk yield are different among the three diet types
Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:
In this case:
So
Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when . So
Solving a quadratic equation, by Bhaskara:
The possible values are a = -2.5 or a = 4.5.