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xenn [34]
3 years ago
14

I don’t need an explanation, just the answer.

Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

t is equal to -18.7.

You can find this by getting all the t values to the left side and all the number values to the right. The work is done below for you.

-4.48 - 17.8t + 10.29 = -12.89 - 18.8t -----> Add 18.8t to both sides

-4.48 + t + 10.29 = -12.89 ----> Subtract 10.29 from both sides

-4.48 + t = -23.18 -----> Add 4.48 to both sides

t = -18.7

Darya [45]3 years ago
5 0
The answer is -18.70= t
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Step-by-step explanation:

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Answer:

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

p_v =2*P(z>4)=0.0000633  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation  

\bar X=23 represent the sample mean

\sigma=3.5 represent the population standard deviation

n=49 sample size  

\mu_o =21 represent the value that we want to test

\alpha=0.1 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 average age of the evening students is significantly different from 21, the system of hypothesis would be:  

Null hypothesis:\mu = 21  

Alternative hypothesis:\mu \neq 21  

The statistic is given by:

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

Calculate the statistic

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

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>4)=0.0000633  

Conclusion  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

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Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12
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