What new topics did Isaac Newton discover?
1 answer:
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Answer:
The P-value is 0.0353.
Step-by-step explanation:
We are given the six measurements of a sprinter's reaction time show below;
X = 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds.
Let = <u><em>mean sprinter's reaction time</em></u>
So, Null Hypothesis, :
0.150 seconds {means that the mean sprinter's reaction time is at most 0.150 seconds}
Alternate Hypothesis, :
> 0.150 seconds {means that the mean sprinter's reaction time is more than 0.150 seconds}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = ~
where, = sample mean =
=
= 0.1565 seconds
s = sample standard deviation = = 0.0068 seconds
n = sample of measurements = 6
So, <u><em>the test statistics</em></u> = ~
= 2.341
The value of t-test statistics is 2.341.
<em>Now, the P-value of the test statistics is given by the following formula;</em>
P-value = P( > 2.341) = 0.0353.
{Interpolating between the critical values at 5% and 2.5% significance level}
Answer:
The Dimension of new garden is
Step-by-step explanation:
Given:
Perimeter of new garden = 70 feet.
Let the length of the new garden be 'l'.
Also Let the width of the new garden be 'w'.
We need to find the dimension of new garden.
Now Given:
Length is 5 feet shorter than three times it width.
framing the equation we get;
Now we know that;
Perimeter of rectangle is equal to twice the sum of length and width.
framing in equation form we get;
Now Diving both side by 2 using Division property of equality we get;
Now Substituting equation 1 in above equation we get;
Adding both side by 5 Using Addition Property of equality we get'
Now Diving both side by 4 using Division property of equality we get;
Now Substituting the value of 'w' in equation 1 we get;
Hence The Dimension of new garden is