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Mazyrski [523]
3 years ago
10

Someone please help me will give BRAILIEST!!!!!!

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
The answer would be 1/5
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Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

4 0
3 years ago
Read 2 more answers
PLZ HELP ASAP!
34kurt
<span>To evaluate the given expression, we need the values of each variable and substitute these values to the expression. Then, go on with the operations involved.

</span>4x - y - 2z
4(-2) - (3) - 2(-2)
-8 - 3 + 4
-7
4 0
2 years ago
Read 2 more answers
A particular computer takes 14 minutes to download a 56​-minute TV show. How long will it take the computer to download a 2.5​-h
charle [14.2K]

Answer:

240 minutes

Step-by-step explanation:

step 1 - 1:56÷14=4

step 2 - 2:4×60=240

4 0
3 years ago
A container in the shape of this cuboid holds 2 litres of water.
zysi [14]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

h=2x

The volume of a cuboid is:

V=l\times w\times h

Where, l is length, w is width and h is height.

Putting V=2000,\ l=x,\ w=x,\ h=2x, we get

2000=x\times x\times 2x

2000=2x^3

Divide both sides by 2.

1000=x^3

Taking cube root on both sides.

\sqrt[3]{1000}=x

10=x

Now, the height of the container is:

h=2x

h=2(10)

h=20

Therefore, the height of the container is 20 cm.

8 0
3 years ago
there were three full pizzas sitting on the counter. if joe ate 1/4 of a pizza,rhoda at 3/8 of a pizza,and chris ate 4 slices, h
IrinaK [193]
ANSWER:
15 SLICES

Explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
There are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 SLICES TOTAL
Subtract 9 (that’s what was consumed) from 24.
24-9 = 15 ; 15 SLICES LEFT OVER

pls mark brainliest hehe
6 0
3 years ago
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