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Firlakuza [10]
2 years ago
7

Question Help The circumference of the hub cap of a tire is 73.54 centimeters. Find the area of this hub cap. Use 3.14 for it. U

se pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap. The area of this hub cap is about square centimeters. (Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as needed.)​
Mathematics
1 answer:
Archy [21]2 years ago
8 0
See attached picture

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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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3 years ago
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