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1 answer:
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Answer:
Winchester Heights Middle School plan to have 385 students in the upcoming school year.
Step-by-step explanation:
Total number of students in the seventh grade at Winchester Heights Middle School = 350
For the upcoming school year, they are planning to increase the number of seventh graders by 10%.
Rate of increase = r = 10% = 0.1
Formula :
Where = initial population = 350
r = rate of increase =0.1
N(t)=Population after t years
t = time in years
So, Population after 1 year =
Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.
Answer:
(47.3, 54.1)
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3
The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1
The answer is (47.3, 54.1).