Two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, r and w. One con

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Two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, r and w. One con

fidence interval, i9, will be constructed using samples of size 9 from each of r and w, and the other confidence interval, i81, will be constructed using samples of size 81 from each of r and w.

SAT

1 answer:

Nat2105 [25] · Answer 1 · 2023-01-15T18:29:04+03:00

The relationship between the two confidence intervals is that"The width of I81 will be 1/3 the width of I9." Option B

<h3>What is the relationship between the two confidence intervals?</h3>

Question Parameters:

Two 99 percent confidence intervals

One confidence interval, i9

the other confidence interval, i81,

samples of size 81 from each of r and w.

Let

Confidence level=0.05

standard deviation $\sigma=6$

Generally, the equation for the confidence interval is mathematically given as

$CI=(\frac{z_{0.05}*\sigma}{2*\sqrt{n}} )$

For i9

CI=(1.96*6}{\sqrt{9}} )

Cl=3.92

For i81

CI'=(1.96*6}{\sqrt{81}})

Cl'=1.3067

In conclusion the relationship between confidence interval, i9 and confidence interval, i81

i81=1/3i9