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Sergio039 [100]
3 years ago
5

When is the estimation. of products a useful tool

Mathematics
2 answers:
ELEN [110]3 years ago
6 0
When multiplying it is useful
Brums [2.3K]3 years ago
4 0
When using decimals this is useful
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The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet
never [62]

Answer:

a) t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744    

The degrees of freedom are given by:

df=n-1=45-1=44  

The critical value for this case is t_{\alpha}=1.68 since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

b) p_v =P(t_{(44)}>2.744)=0.0044  

Step-by-step explanation:

Information given

\bar X=18.4 represent the sample mean

s=2.2 represent the sample standard deviation

n=45 sample size  

\mu_o =17.5 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

Part a

We want to test if the true mean is higher than 17.5, the system of hypothesis would be:  

Null hypothesis:\mu \leq 17.5  

Alternative hypothesis:\mu > 17.5  

The statistic is given by:

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

And replacing we got:

t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744    

The degrees of freedom are given by:

df=n-1=45-1=44  

The critical value for this case is t_{\alpha}=1.68 since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

Part b

The p value would be given by:

p_v =P(t_{(44)}>2.744)=0.0044  

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3 years ago
How many different 5 digit street addresses can have the digits 4 7 3 4 and 8
Assoli18 [71]
60 street houses can use those digits.
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Choose the correct graph of the given system of equations.<br><br> y − 2x = −1<br> x + 3y = 4
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I believe it'd the one in the middle because if you plug in the values (1,1) both equations are true.
Plug x=1 and y=1 in equations:
LHS = 1 - 2*1 = 1-2 = -1 = RHS
LHS = 1 + 3*1 = 4 = RHS 
So it's the graph in the middle.
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3 years ago
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Step-by-step explanation:

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28.52 is what percent of 77.5
I am Lyosha [343]
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