The 90% , 99% confidence interval for the population mean is 32.145 <
< 35.855 and 31.093 <
< 36.907
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It is given that
Total Population = 50
Mean = 35
The confidence interval is given by

is the mean
z is the confidence level value
s is the standard deviation
n is the population width
(a) The 90% confidence interval for the population mean
90%
= 0.05
Z = 1.64
34
1.64 * 8 / √50
34
1.855
32.145 <
< 35.855
(b) The 99% confidence interval for the population mean
99%
= 0.005
Z=2.57
34
2.57 * 8 / √50
34
2.907
31.093 <
< 36.907
Therefore the confidence interval for population mean has been determined.
The complete question is
A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean
b. Provide a 99% confidence interval for the population mean
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Answer:
3/8 sq. units
Step-by-step explanation:
The formula for area for a trapezoid is
Area = (1/2)*(base1+base2)*height
Area = (1/2)*(1/2 + 1/4) * 1
Area = (1/2)*(2/4 + 1/4)
Area = (1/2)*(3/4)
Area = 3/8 sq. units
8 times 3 is 21 so 3 juries
Answer:
Step-by-step explanation:
First of all, I drawed this graph and uploaded it for you...
We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).
Let's put these points in the algebreac expression of line to find the correct equation:
-5 = a. (-1) + b
-1 = a.(1) + b
solving this system of equation by elimination, we find 2b = -6 and b = -3.
Then, -5 = -a + (-3)
-a = -5 + 3
a = 2
Finally, our line equation is y = 2x - 3
The slope also is represented by a. So, the slope is 2.