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Andrews [41]
3 years ago
11

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

bottles showed a standard deviation of .2. The p-value for the test is _____.
a. .025
b. between .025 and .05
c. .05
d. between .05 and .01
Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

\bar X represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

\sigma_o =\sqrt{0.027}=0.164 the value that we want to test

p_v represent the p value for the test

t represent the statistic

\alpha= significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: \sigma \leq 0.027

H1: \sigma >0.027

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(30-1) [\frac{0.2}{0.164}]^2 =42.963

What is the approximate p-value of the test?

The degrees of freedom are given by:

df=n-1= 30-1=29

For this case since we have a right tailed test the p value is given by:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

And the best option would be:

b. between .025 and .05

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Find the domain and range of y=-5x-1
harina [27]

Answer:

  • \mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

  • \mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

y=-5x-1

The function has no undefined points nor domain constraints. Hence, the domain is

-\infty \:

i.e.

\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

-\infty \:

i.e.

\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

5 0
3 years ago
PLS HELP!!! ONLY ANSWER IF U KNOW IT!!
atroni [7]

Answer:

hello,

the answer is option c (0.84)

and if you wabt to find in angle then the answer is 33.04°.

<em><u>hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
An estimated 3 out of every 25men are left-handed
arsen [322]

Answer:

\frac{3}{25} 12% of the men are left handed.

Step-by-step explanation:

We have,

An estimated 3 out of every 25 men are left handed.

\frac{3}{25} × 100

= 3 × 4

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3 years ago
A minor league baseball team plays 72 games in a season. If the team won 15 more than twice as many games as they lost, how many
Alina [70]
X = games won
y = games lost

x + y = 72
x = 2y + 15

2y + 15 + y = 72
3y + 15 = 72
3y = 72 - 15
3y = 57
y = 57/3
y = 19 <=== lost games

x = 2y + 15
x = 2(19) + 15
x = 53 <=== won games
3 0
3 years ago
-5(x+7)&lt;10. What does x equal?
gulaghasi [49]

Answer:

X>-9

Step-by-step explanation:

Distribute

-5x-35<10

add 35 on both sides

-5x<45

Divide -5 on both sides and flip the sign since your dividing by a NEGATIVE number

x>-9

4 0
3 years ago
Read 2 more answers
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