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sammy [17]
3 years ago
7

What is the volume of sphere with a 10 inch radius?

Mathematics
2 answers:
Anarel [89]3 years ago
8 0
The answer is 4188.79 inches
Ede4ka [16]3 years ago
5 0
It is about 4188.79 inches cubed, or 1,333 1/3 pi cubed
hope this helps:)
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In Pennsylvania the average IQ score is 101.5. The variable is normally distributed, and the population standard deviation is 15
blsea [12.9K]

Answer:

We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, \bar{x} = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

H_{0}: \mu = 101.5\\H_A: \mu > 101.5

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789

Now, z_{critical} \text{ at 0.05 level of significance } = 1.96

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

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c

Step-by-step explanation:

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