What is the value of the angle marked m? P
1 answer:
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<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
Area of sector is 17.584 meters
<em><u>Solution:</u></em>
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction of the circle
The area of the sector will therefore also be of the area
Thus area of sector is 17.584 meters