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marysya [2.9K]
3 years ago
10

On the track and field team, 3/8 of the members do the hurdles. Of the members who do the hurdles, 4/5 also do the long jump. If

there are 40 members on the track team, how many do both the hurdles and the long jump? Choose your answer from the dropdown menu.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
The amount of people who do the hurdles:
\frac{3}{8}  \times 40 = 15
From this 15 people, the following amount does long jump:
\frac{4}{5}  \times 15 = 12
So the answer is 12 people.
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Part a: P-value

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

df=n-1=46-1=45  

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

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Part b: Conclusion  

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a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation  

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s=11.8 represent the sample standard deviation

n=46 sample size  

\mu_o =20 represent the value that we want to test

\alpha=0.01 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 lower than 20, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

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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{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517    

Part a: P-value

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

df=n-1=46-1=45  

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

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a. There is insufficient evidence to reject h^0

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