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The 90% , 99% confidence interval for the population mean is 32.145 < < 35.855 and 31.093 <
< 36.907
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
To know more about Probability
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For this case we have the following expression:
We multiply both sides by:
We divide both sides by 216:
To divide powers of the same base, we place the same base and subtract the exponents:
Rewriting:
To multiply powers of the same base, we place the same base and add the exponents:
We know that any number raised to zero is 1,
So, for equality to be true:
Answer:
Answer:
(-2, 3)
Step-by-step explanation:
A is translated from (5, 1) to A' at (6, -2).
That is, it moves <em>one unit to the right and three units down</em>.
B is also translated to B' one unit to the right and three units down to (-1, 0).
B must be <em>one unit to the left and three units above B'</em>.
Thus, the coordinates of B are (-2, 3).
The diagram below shows the translation of side AB of ∆ABC to its new location at A'B'.
