Using the following diagram, tick the correct angles which are congruent to the angles given in the first column.
1 answer:
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The coordinates of the midpoint are the average of the coordinates of the given points.
So, the x coordinate of the midpoint is the average of the x coordinates of the given point:
And similarly, the y coordinate of the midpoint is the average of the y coordinates of the given point:
So, the midpoint is the point
<h2><u>Answer with explanation</u>:</h2>
Let be the average life of light bulbs.
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic :
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For , we have
Using z-value table , Critical one-tailed test value for 0.06 significance level :
Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life