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Natalija [7]
3 years ago
14

The bottom of a cylindrical container has an area of 10 cm². The container is filled to a height whose mean is 5 cm, and whose s

tandard deviation is 0.3 cm. Let V denote the volume of fluid in the container.
Find μv and σv.
Mathematics
1 answer:
disa [49]3 years ago
5 0

Answer:

μv =50 cm^{3}

σv= 3 cm^{3}

Step-by-step explanation:

Volume is found by multiplying the area and height. Since we're given both area and height of 10 and 5 cm respectively then

μv =A.h= 10*5= 50 cm^{3}

The standard deviation of the volume will be

σv= 0.3*10= 3 cm^{3}

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3 years ago
To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of t
ivolga24 [154]

Answer:

p_v =P(t_{(29)}>1.42)=0.0831  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Step-by-step explanation:

Information given

We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:  

Null hypothesis:\mu \leq 100  

Alternative hypothesis:\mu > 100  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic calculated for this case  t_{calc}= 1.42

The degrees of freedom are given by:

df=n-1=30-1=29  

Now we can find the p value using tha laternative hypothesis and we got:

p_v =P(t_{(29)}>1.42)=0.0831  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

5 0
3 years ago
I need help show your work
Assoli18 [71]
The answer is  71 and 180 
have a nice day!!
3 0
3 years ago
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