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Vladimir79 [104]
2 years ago
7

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the sp

indle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Mathematics
1 answer:
adoni [48]2 years ago
5 0

Answer:

The null hypothesis is H_0: \mu = 4.1

The alternate hypothesis is H_a: \mu \neq 4.1

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, H_0: \mu = 4.1

If the spindle is either too small or too large, the motor will not work properly.  The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is H_a: \mu \neq 4.1

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Continuing the pattern, what do the following terms equal?
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What is Exponential Property?

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Using exponential property on given values we get,

2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...

Complete series using exponent property is:\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,

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4 0
1 year ago
Prove that <br><br><img src="https://tex.z-dn.net/?f=2%20%5Ctan30%20%5Cdiv%201%20%2B%20tan%20%5E%7B2%7D%2030%20%3D%20sin60" id="
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3 years ago
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prohojiy [21]

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Change back to a mixed number

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