Answer:
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Step-by-step explanation:
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The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Data;
- mean = 5.82
- s = 4.93
- n = 600
<h3>Test-Static t </h3>
Let's calculate the t-value

Substitute the values into the equation and solve;

The t-value is 4.079.
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Learn more on t-test here;
brainly.com/question/6501190
The length of the ramp is 61 feet.
<h3>What is the length of the ramp?</h3>
In order to determine the length of the ramp, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
√11² + 60²
√121 + 3600
√3721
= 61 feet
Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
I have a total of 11 pencils = total outcome
a- since we have 6 Red, P(Red)=6/11
b- P(Black) = 3/11
c- P(Green) = 1/11
For the dice:
Total outcome 6 so :
P(3) =1/6
P(1) =1/6
P(less than5) means P( of 1 OR 2 OR 3 Or 4)
Since we have "OR" it means we can add the P(probabilities)====>
P( of 1 OR 2 OR 3 Or 4)=1/6+1/6+1/6+1/6=
= 4/6 = 2/3