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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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High demand cars that are also in low supply tend to retain their value better than other cars .The data in the table are for a
valkas [14]

Answer:

3/6

Step-by-step explanation:

8 0
3 years ago
WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Ou
expeople1 [14]

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

4 0
3 years ago
What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?
Vika [28.1K]

A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.



Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b

-2 = (3/4)*(12) + b

You'll get b= -11

So the equation of the parallel line intersecting the point given is y= 3/4x -11.

I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.

3 0
2 years ago
Need help ASAP please
Kay [80]

Answer:

because the length is 4 feet more than the width

=> the length is x + 4 (feet)

because the base has an area of 21 square feet

=> x(x + 4) = 21

<=> x² + 4x = 21

3 0
3 years ago
Write <br> 6<br> :<br> 9<br> :: <br> 2<br> :<br> 3<br> as a fraction proportion.
Firdavs [7]
6/9 (2/3) and 2/3. Hope this helps you.
3 0
3 years ago
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