A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."
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What is F-statistics?</h3>
An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.
Some key features regarding the F-statistics are-
- It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.
- When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why?
- A significant result does not imply that all of your variables have been significant.
- The statistic is simply comparing the cumulative influence of all the variables.
To know more about the F-statistics, here
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Answer:
Sol(1) Solve ......(1) ......(2) ......(3) In equation 3 if we put a=4x & b=x, we get ......(4) Using equation 4&2,
Step-by-step explanation:
Answer:
So Height of the box is 5.906
Step-by-step explanation:
Given:
Volume of box = 567
Length = 12
Width = 8
To Find:
Height = ?
Solution:
We know that a box is in the shape of a cuboid so
We know that
Volume of the cuboid is given by the formula which is
Volume = Length * Width * Height
Now we are given all the values in the question
putting in those values
Volume = Length * Width * height
Putting the values
567 = 12 * 8 * Height
567 = 96 * Height
Dividing both sides by 96 we get
Height = 567 / 96
So We get
Height = 5.906
So Height of the box is 5.906
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
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