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makkiz [27]
3 years ago
11

Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution. 

Mathematics
1 answer:
Andru [333]3 years ago
7 0
Hey there!!
The answer is (13)(21)(7).

Hope this is what ur looking for.

~ TRUE BOSS
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A group of physical education majors was discussing the heights of female runners and whether female runners tended to be tall,
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Answer:

The 90% confidence interval for the mean µ of the population of female runners.

( 65.0328 , 66.5672)

Step-by-step explanation:

<u>Step(i)</u>

Given  A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches.

Given sample size is n = 12 <30 so small sample

Given sample mean (x⁻) = 65.80 inches

sample standard deviation (S) = 1.95 inches.

<u>Step(ii)</u>

Assume the population is approximately normal.

The 90% confidence interval for the mean µ of the population of female runners.

(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} +t_{\alpha } \frac{S}{\sqrt{n} } )

substitute  all above interval

(65.80 - t_{\alpha } \frac{1.95}{\sqrt{12} } ,65.80 +t_{\alpha } \frac{1.95}{\sqrt{12} } )

The degrees of freedom γ=n-1 = 12-1=11

From t- table = 1.363 at 90 % 0r 0.10 level of significance

(65.80 -1.363 \frac{1.95}{\sqrt{12} } ,65.80 +1.363 \frac{1.95}{\sqrt{12} } )

on calculation , we get

(65.80 -0.7672 ,65.80 + 0.7672)

( 65.0328 , 66.5672)

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3 years ago
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