Problem 3 of 3
It is found that 40% of all students returning to school in September catch a common cold, while the rest do not. From among the students in the school 600 are randomly selected.
(a) Determine the mean and population standard deviation for the students who catch a cold.
(b) What is the 90% confidence interval for the mean number of students who will catch a cold in this group. Explain the meaning of your confidence interval.
Solution
(a)
n=600 - for the number of students
p=.40 - for the percentage of students who catch a cold
q=.60 - for the number of students who doesn't catch a cold
M=np=(600)(.40)=240 - the mean
S=√9600)(.40)(.60)=144 - the standard deviation
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