2 years ago

What is the volume of a sphere with a radius of 3 inches?

Mathematics

1 answer:

Vilka [71]2 years ago

3 0

Answer:

36π cubic inches

Step-by-step explanation:

V = 4/3 πr³

radius (r): 3

= 4/3π(3)³

= 4/3π (27)

= 36π

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The average height of students at UH from an SRS of 12 students gave a standard deviation of 2.5 feet. Construct a 95% confidenc

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Answer:

c. [1.771;4.245] feet

Step-by-step explanation:

Hello!

The variable of interest is

X: height of a student at UH

X~N(μ;σ²)

You have to estimate the population standard deviation using a 95% confidence interval.

The statistic to use for the interval is a student Chi-Square with n-1 degrees of freedom. First you have to calculate the CI for the population variance:

$[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]$

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$[\frac{11*6.25}{21.920} ;\frac{11*6.25}{3.816}} ]$

[3.136; 18.016] feet²

Then you calculate the square root of both limits to get the CI for the population standard deviation:

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[1.771;4.245] feet

I hope this helps!

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