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Elza [17]
3 years ago
5

The Olympic-size pool at the recreational center is a right rectangular prism 50m long and 25m wide. The pool contains 3000m3 of

water. How deep is the water in the pool?
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Step-by-step explanation:

50 * 25 = 1250 square meters

3000 / 1250 = 2.4 meters deep

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X - 2 = -3x +2<br>what's x?​
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Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this test is 49, then the t statist
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Answer:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

Step-by-step explanation:

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu \mu_o, the system of hypothesis would be:  

Null hypothesis:\mu \geq \mu_o  

Alternative hypothesis:\mu < \mu_o  

Compute the test statistic  

We don't know the population deviation, so for this case 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".  

We can find the degrees of freedom for this test given by:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

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