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topjm [15]
3 years ago
11

Assume that the heights of bookcases are normally distributed. A random sample of 16 bookcases in one company have a mean height

of 67.5 inches and a standard deviation of 3.6 inches. Construct a 99% confidence interval for the population standard deviation, σ.
Mathematics
2 answers:
ipn [44]3 years ago
6 0

Answer: 1.1 and 3.1

Step-by-step explanation:

Aneli [31]3 years ago
3 0

Answer:  2.43

Step-by-step explanation:

Given :  Confidence level :1-\alpha=0.99

Significance level :\alpha=0.01

Sample size : n= 16

Sample standard deviation : s= 3.6 inches

Using chi-square distribution table , the critical values are:

\chi^2_{\alpha/2, n-1}=\chi^2_{0.005, 15}=32.80132065\\\\\chi^2_{1-\alpha/2, n-1}=\chi^2_{0.995, 15}=4.60091557

We know that , confidence interval for the population standard deviation is given by :-  

\sqrt{\dfrac{(n-1)s^2}{\chi^2_{\alpha/2, n-1}}}

Hence ,  a 99% confidence interval for the population standard deviation is 2.43.

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MrRissso [65]

Answer:

1. C points radially outward from origin

2. A. Points radially outward from z origin

3. D. Radially inwards toward origin

4. B. Inwards towards the z axis

Step-by-step explanation:

1.

X²+y²+z² = f(x,y,z)

Vector P<x,y,z>

2<x,y,z> = 2p

The answer is c points radially outward from origin

2.

X²+y² = f(x,y)

<2x,2y,0>

Points radially outward from z axis

3.

D. Points radially inwards toward origin

4.

B. Points radially inwards toward the z axis.

Please check attachment for solutions to answers 3 and 4

3 0
3 years ago
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Ne4ueva [31]
There's another way to do this, but I'm showing you what I use.

First: I would go ahead and subtract 9x from both sides of the equation. By doing that, the "9x" on the left side would cancel out and you would be left with "7=-6x-5"

Second: Add 5 to both sides of the equation. It should cancel out the 5 on the right and you should be left with "12=-6x"

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4 0
3 years ago
How would you solve this problem?
wariber [46]
(y+5)(y+5)
-------------
(y-8)(y+5)

y+5 cancels out so the answer is y+5
------
y-8
6 0
3 years ago
Could a quadrilateral have 4 obtuse angles
Alex73 [517]
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3 years ago
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garik1379 [7]

Answer:

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Step-by-step explanation:

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