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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Both servings of pancakes cost $8.50
One serving of pancakes cost $4.35
Equation: 1.15 (2x + 1.50) = 11.50
2.3x + 1.725 + 11.50
2.3x = 9.725
x = 4.25 for one serving of pancakes
2x = 8.50 for both servings of pancakes
Answer:
- (x, y) = (3, 5)
- (x, y) = (1, 2)
Step-by-step explanation:
A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.
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The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.
There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.
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1. In standard form, your equations are ...
Then the solution is ...

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2. In standard form, your equations are ...
Then the solution is ...

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<em>Note on Cramer's Rule</em>
The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.
The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.
1 foot = 12 inch so 6 feet = 6*12 inch
6 feet = 72 inch
The height of the person in inch is = 72+1 = 73 inch
1 meter.............39.37 in
x meters.......... 73 in
x = 73/39.37 = 1.85 meters
<span>A 96% confidence interval means that 96% of the time you can believe that the result will fall into a range of numbers. In the case of weight lifting this would mean that 96% of the time, the proportion of weight-lifting injuries were accidental would fall in between the two parameters set forth.</span>