PLZ HELP I'LL MARK BRAINLIEST

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0

3 years ago

What is the slope of the line that contains the points (4 -1) and (-1,4)

stira [4]

Answer:

-1

Step-by-step explanation:

The slope formula when given two points is

m = ( y2-y1)/(x2-x1)

= (4 - -1)/(-1 -4)

= (4+1)/(-5)

= 5/-5

=-1

6 0

3 years ago

Read 2 more answers

A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible o

Agata [3.3K]

Answer:

$\begin{array}{cccccc}X&0&1&2&3&4\\Pr&\dfrac{1}{16}&\dfrac{1}{4}&\dfrac{3}{8}&\dfrac{1}{4}&\dfrac{1}{16}\end{array}$

Step-by-step explanation:

A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible outcomes: BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG.

Let X represent the number of children that are girls. Then

1. When X=0, there is one possible outcome BBBB. So

$Pr(X=0)=\dfrac{1}{16}$

2. When X=1, then there are 4 possible outcomes GBBB, BGBB, BBGB, BBBG, so

$Pr(X=1)=\dfrac{4}{16}=\dfrac{1}{4}$

3. When X=2, then there are 6 possible outcomes BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, so

$Pr(X=2)=\dfrac{6}{16}=\dfrac{3}{8}$

4. When X=3, then there are 4 possible outcomes GGGB, GGBG, GBGG, BGGG, so

$Pr(X=3)=\dfrac{4}{16}=\dfrac{1}{4}$

5. When X=4, then there is one possible outcome GGGG, so

$Pr(X=4)=\dfrac{1}{16}$

Now, the probability distribution table is

$\begin{array}{cccccc}X&0&1&2&3&4\\Pr&\dfrac{1}{16}&\dfrac{1}{4}&\dfrac{3}{8}&\dfrac{1}{4}&\dfrac{1}{16}\end{array}$

5 0

4 years ago

Read 2 more answers

Find the missing coefficients <br><br><br>y=ax^2-10x+c <br>vertex :(-5,20)

Citrus2011 [14]

Remember, for $y=ax^2+bx+c$ the x value of the vertex is $\frac{-b}{2a}$

so
given
x value of vertex is -5
and
$y=ax^2-10x+c$
$\frac{-b}{2a}=\frac{-(-10)}{2a}=\frac{10}{2a}=$
$\frac{5}{a}=-5$
multiply both sides by a
5=-5a
divvide both sides by -5
-1=a
a=-1

$y=-1x^2-10x+c$
comlete the square
remember if we do
$y=a(x-h)^2+k$ (h,k) is the vertex
I know, we can subsitute the known values of te vertex
-5 for h and 20 for k then expand

$y=-1(x-(-5))^2+20$
$y=-1(x+5)^2+20$
$y=-1(x^2+10x+25)+20$
$y=-1x^2-10x-25+20$
$y=-1x^2-10x-5$

a=-1
c=-5

5 0

3 years ago

Which statement explains why 49 is a perfect square?

Serga [27]

Answer:

the statement that shows that 49 is a perfect square 49 is equal to 7 times 7

8 0

3 years ago