Function (T/F) Please help.
2 answers:
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Answer:
The degrees of freedom are given by:
the p value for this case would be given by:
For this case we see that the p value is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2564 mm
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true mean is equal to 2564 mm, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
The degrees of freedom are given by:
the p value for this case would be given by:
For this case we see that the p value is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2564 mm
A reflection about a line gives an image that is at an equal distance from the line but on the opposite (other) side of the line
The distance between the lines <em>m</em> and <em>n</em> is <u>6 units</u>
<u />
Reason:
The given parameters are;
Let <em>Y</em> represent the top vertex of Δ(XYZ), and the coordinates of point <em>Y</em> is (3, 0) we have;
The coordinates of Y following is Y''(3, -12)
A reflection of <em>Y </em> across the line m, y = -9, gives the coordinates of the image at Y'(3, -18)
A reflection of the image Y'(3, -18) across the line n, y = -15, gives the image at Y''(3, -12)
The distance between lines <em>m</em>, and line <em>n</em>, is -9 - (-15) = 6
Generally, the difference between two lines of reflection, <em>n</em>, and <em>m</em>, following a composite reflection is 2×(n - m)
Given that the total transformation is -12, we have;
2×(n - m) = -12
Therefore;
Which gives;
m - n = 6
The distance between the two lines = 6 units
Learn more about reflection about a line here;