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PolarNik [594]
2 years ago
15

The table shows transactions from five different bank accounts.

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
5 0

Answer:

 New Account Balance ($)

Acc #         Old Acc Balance ($)      Trans Amount ($)      New Acc Balance ($)

1                       352                                       -48                      304

2                      432                                      +80                      512

3                       75                                       -100                     -25

4                       40                                        52                       12

5                      -10                                        -20                     -30

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Lena [83]

Answer:

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation  

\bar X=3.25 represent the sample mean

s=0.3 represent the sample standard deviation

n=36 sample size  

\mu_o =3.1 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t 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 more than 3.1, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.1  

Alternative hypothesis:\mu > 3.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-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:  

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

P-value  

The first step is calculate the degrees of freedom, on this case:  

df=n-1=36-1=35  

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

p_v =P(t_{(35)}>3)=0.00247  

Conclusion  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

5 0
3 years ago
What is the perimeter of this tile 4in 1in
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Answer:

10 inches

Step-by-step explanation:

Assuming a rectangular tile

P = 2(l+w) where l is the length and w is the width

P = 2(1+4)

   = 2(5)

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8 0
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Example:  What is the area of the base of a cone, if the radius of the base is 5 cm?

Answer:   A = π(5 cm)^2 = 25π cm^2

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