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Fofino [41]
3 years ago
6

Four posts with 3-in. radii

Mathematics
2 answers:
Marta_Voda [28]3 years ago
7 0
Your answer will be 6 inches long
Ratling [72]3 years ago
5 0

Answer:

6 in

Step-by-step explanation:

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A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately
Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

a)

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

z=\frac{\bar x-\mu}{\sigma/\sqrt N}

where

\bar x=mean\; of\;the \;sample

\mu=mean\; established\; in\; H_0

\sigma=standard \; deviation

N = size of the sample.

So,

z=\frac{185-175}{20/\sqrt {10}}=1.5811

\boxed {z=1.5811}

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of  1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of  1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is  

\boxed {p=0.057}

b)

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

<u>Step 1 </u>

Compute \bar x_{critical}

1.64=z_{critical}=\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}

\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}=\frac{\bar x_{critical}-175}{6.3245}=1.64\Rightarrow \bar x_{critical}=185.3721

So <em>we would make a Type II error if our sample mean is less than 185.3721</em>.  

<u>Step 2</u>

Compute the probability that your sample mean is less than 185.3711  

P(\bar x < 185.3711)=P(z< \frac{185.3711-185}{6.3245})=P(z

So, <em>the probability of making a Type II error is 0.5234 = 52.34% </em>

c)

<em>The power of a hypothesis test is 1 minus the probability of a Type II error</em>. So, the power of the test is

1 - 0.5234 = 0.4766

3 0
3 years ago
I just need help because i dont understand it
Y_Kistochka [10]

Answer:

8

Step-by-step explanation:

2 times 4 is 8

4 0
3 years ago
Read 2 more answers
Which of the following angles can be added together to create 132°? Explain your answer using words.
RoseWind [281]

Answer:

the addition of 25+35+52+20=132 is the answer

Step-by-step explanation:

please mark me as brainlest

8 0
2 years ago
A manager needs to rope off a rectangular section for a private party. The length of the section must be 7.6 meters. The manager
Andrew [12]

Answer:

W\leq 6.4\ m

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

we know that

L=7.6\ m

P\leq28\ m

substitute

2(7.6+W)\leq28

solve for W

(7.6+W)\leq14

W\leq14-7.6

W\leq 6.4\ m

5 0
2 years ago
Can someone help me how do i do this i need an explination
Tanya [424]

Answer:  From the figure attached,

Point X is the midpoint of line AC.

Since coordinates of the midpoint of the segment joining endpoints  and  is given by,

Therefore, coordinates of the point X will be,  = (a, a)

From triangle AXB,

Length of AB = 2a

Length of AX =  

Length of BX =  

                     =

Length of AX = BX =  

Therefore, triangle AXB is an isosceles triangle.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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