3 3/8 T = lb what does this equal

a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample s

Alex

Answer:

95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

Step-by-step explanation:

We are given that a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample standard deviation of the number of tissues per box is 97.

Firstly, the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, $s^{2}$ = sample variance = $97^{2}$ = 9409

n = sample of boxes = 15

$\sigma^{2}$ = population variance

<em>Here for constructing 95% confidence interval we have used chi-square test statistics.</em>

So, 95% confidence interval for the population variance, $\sigma^{2}$ is ;

P(5.629 < $\chi^{2}__1_4$ < 26.12) = 0.95 {As the critical value of chi-square at 14

degree of freedom are 5.629 & 26.12}

P(5.629 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 26.12) = 0.95

P( $\frac{5.629 }{(n-1)s^{2} }$ < $\frac{1}{\sigma^{2} }$ < $\frac{26.12 }{(n-1)s^{2} }$ ) = 0.95

P( $\frac{(n-1)s^{2} }{26.12 }$ < $\sigma^{2}$ < $\frac{(n-1)s^{2} }{5.629 }$ ) = 0.95

<u><em>95% confidence interval for</em></u> $\sigma^{2}$ = [ $\frac{(n-1)s^{2} }{26.12 }$ , $\frac{(n-1)s^{2} }{5.629 }$ ]

= [ $\frac{14 \times 9409 }{26.12 }$ , $\frac{14 \times 9409 }{5.629 }$ ]

= [5043.11 , 23401.31]

Therefore, 95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

6 0

3 years ago

NEED THIS ASAP!!!!!!!!!!!!!

Bond [772]

<h3>Answer:</h3>

Calvin: incorrect, sign error
Greg: incorrect, has no relationship to the given expression
Ruben: incorrect, sign error
Equivalent expresssion: 7 92(4x -11)

<h3>Explanation:</h3>

The two terms on the right, -8x and +22, have even coefficients, so a factor of 2 can be factored out. If we do that, then these two terms become ...

... 2(-8x/2 +22/2) = 2(-4x +11)

We could, instead, factor out -2 so the x-coefficient inside parentheses is positive:

... -2(-8x/-2 +22/-2) = -2(4x -11)

Note that the signs of the two terms inside parentheses are different no matter which way we do it.

<u>Equivalent expressions</u>

Calvin could have written: 7 -2(4x -11)

Ruben could have written: 7 +2(-4x +11)

Greg could have written: 8(2 -x) -1. He would have rearranged the expression to 16 -8x -1 before doing so.

3 0

3 years ago

Read 2 more answers

33 = -u/4<br><br> please help me i really confused......

nordsb [41]

Answer:

u = -132

Step-by-step explanation:

33=-u/4

33*4=-u

132=-u

132/-1=u

-132=u

u = -132

Check:

33= -1(-132)/4

33=132/4

33=33

Hope this helps. Have a nice day.

6 0

3 years ago

An angle in standard position measures 5п 8 radians. In which quadrant does the terminal side of this angle lie? O Quadrant I II

user100 [1]

Answer:

<em>I've attached a picture of a unit circle with the quadrant labeled. </em>

<u>Calculate the degree of 5п 8 radians:</u>

$\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5$

<u>Locate the general location of 112.5° on the unit circle:</u>

It's between 120°( $\frac{2\pi }{3}$ ) and 90°( $\frac{\pi }{2}$ ).

<u>Find the quadrant it lies in:</u>

Quadrant II

5 0

3 years ago

What is the distance between points (9, -4) and (9,4) on the coordinate plane

vodka [1.7K]

The answer is 8 plots. Hope this helped! :)

7 0

3 years ago