Find out net profit after tax from the following information:
1 answer:
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Answer:
There is enough evidence to reject the manufacturer’s claim and the standardized test statistic z is -3.43
Step-by-step explanation:
A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°F.
So, Null hypothesis:
Alternate hypothesis :
To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133°F.
x=133
n = 32
Population Standard deviation =
Formula :
z=-3.43
Refer the z table for p value
p value = 0.0003
p value < α
So, we failed to accept null hypothesis
Hence there is enough evidence to reject the manufacturer’s claim and the standardized test statistic z is -3.43
Answer:
Option (3)
Step-by-step explanation:
w =
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -
sin(225) = sin(180 + 45)
= -sin(45)
= -
Therefore, w =
=
=
z = 1[cos(60) + i(sin(60)]
=
=
Now (w + z) =
=
=
=
Therefore, Option (3) will be the correct option.