2. (12 Pts) Mr. Crandall has assigned a term paper due at the end of the semeste

Question

2. (12 Pts) Mr. Crandall has assigned a term paper due at the end of the semester. A random sample of 10 term papers was obtained and the sample mean is 14.7 pages and the sample standard deviation of typed pages, is a normal distribution. is 5.3 pages. From previous studies, the population distribution of the number A confidence interval is to be computed for the population mean number of typed pages of all term papers in Mr. Crandall's class a) List each assumption and show how each one is met or not met. b) If the assumptions are met, use StatCrunch to compute a 99% confidence interval tr the population mean number of typed pages of all term papers in Mr. Crandali's class c) Write the interpretation of the interval in the context of this problem.

Explanation / Answer

given

n=10

mean=14.7

SD=5.3

a)

Assumptions:

1. sample should be random

2.sample comes from Normal population

3.observation must be independent of each other

since sample is taken randomly from normal population and each term paper is different from others so independent to each other

hence every assumption is met

b)

99% confidence interval is given by

mean (+/-) t0.005*S/sqrt(n) =14.7 (+/-) 3.25*5.3/sqrt(10) =14.7 (+/-) 17.22/3.16

=14.7 (+/-) 5.45

hence interal is (9.25,20.15)

c) Interpretation: i99% times Population mean will fall in above resulted in (b) part interval

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