Answer: b. The 99% interval is longer.
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where
is the sample mean ,
is the population standard deviation , n is the sample size and
is the two-tailed test value for z.
For 95% confidence interval the two-tailed test value for z is
.
For 99% confidence interval the two-tailed test value for z is
.
Since the interval is directly proportion al to the z-value , so it is clear that the width of the interval would be longer with z =3 than z=2.
i.e. The <u>99% interval</u> is longer than 95% confidence interval .
Answer:
line 2?
Step-by-step explanation:
The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have shown a right-angle triangle in the picture.
In the right angle triangle, ABC
The angle BAC = 55 degree
Angle BAA' = 90 degree
In the figure, the angle of depression = CAA'
= BAA' - BAC
= 90 - 55
= 35 degree
Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
Learn more about trigonometry here:
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Answer:
-9/16 > -7/10
Step-by-step explanation:
Answer: Substitution Property
Think of "substitute" as in replacement. For example, your substitute teacher is a (<span>temporary) </span>replacement for your current teacher. In this case, we're replacing "m4" with "20 degrees".