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Fall 2012 (Total Marks15)

23:59 30th Jan   , 2013

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Objective(s) of this Assignment:

• The assignment is being uploaded to build up the concepts about the Confidence interval and sampling distributions.

•  How to get interpretation about Confidence interval.

Assignment # 4 (Lessons 31- 36)

Question 1:                                                                                                                        (Marks: 2+5=7)

a. In a finite population with  and  , find the mean and variance for the sampling distribution of sample mean for n = 25.

b. The mean and standard deviation of the maximum loads supported by 50 cables are 13 tons and 0.80 tons respectively. Find the 99% confidence interval for the mean of the maximum loads of all cables produced by the company. Also interpret the findings.

Question 2:                                                                                                             (Marks: 5+3=8)

1. If  is normally distributed with  and .

Find the

1. A sample of people at the university cafeteria on meatless day showed 20% of them preferred vegetable dishes. How large a sample is needed if we want to be 95% confident that our estimate of population proportion is within 0.03?

-End-

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Replies to This Discussion

hi ash Q 2 part a smj ni aia. kese solve hua hy ye?

b. The mean and standard deviation of the maximum loads supported by 50 cables are 13 tons and 0.80 tons respectively. Find the 99% confidence interval for the mean of the maximum loads of all cables produced by the company. Also interpret the findings.

The interpretation of Q1 part b is also required.. can anybody give an idea?

Interpret:-

Hence we can say that the mean of the maximum loads of all cables produced by the company lies somewhere between 12.71 and 13.29 and this statement is being made on the basis of 99% confidence

check this

Attachments:

hi sky high can u plz tell me how 0.4913 comes?

check the value of Z in area under the curve on page no 225

in column see 2.3 and opposite to it see in row 0.08 we get 0.4913

Hope so u got it

which page 225? of handouts? i didn't find it

Table is on page 229

i hv on page225

why would we select the 9th column of 0.08?

because we want to see the value 2.38

so in table we see in column 2.3 and row 0.08 or we can say 2.3+0.08=2.38

mean to say 2.8 column &0.08 row

Thanks a lot, you made my confusion clear..

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