It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?
2 answers:
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Answer:
a) z = 2.327
b) The margin of error is of 0.065.
c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
a) 98% confidence level
So , z is the value of Z that has a pvalue of
, so
is the critical value.
b)
The margin of error is:
So, applying to this question:
The margin of error is of 0.065.
c) Find confidence interval for the problem.
The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
If Ann cleans in 12 hours then she cleans 
of the apartment per hour. Similarly Liz cleans 
of the appartment per hour. So together then can clean 
of the apartment for hour. Therefor it will take them 
hours to clean.
The general formula
can be used as a check if needed.
The general formula