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seraphim [82]
2 years ago
10

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test

statistic for this test is a:_____.
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
3 0

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."

<h3>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

brainly.com/question/17256783

#SPJ4

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I need help! I will give brainliest, if correct!
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<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:

<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10   ==>   (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1

-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7   ==>   (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8

Multiply through the first equation by -3 :

-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1)   ==>   (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3

Add this to the second equation to eliminate <em>y</em> :

((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)

(-7 + 4<em>k</em>) <em>x</em> = -11

Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for

-7 + 4<em>k</em> = 0   ==>   <em>k</em> = 7/4

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