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Q4(a) State the Central Limit Theorem and explain its implications for calculating sarling errors Q 4(b) A sample of 50 companies was randomly chosen from a population of 50,000 registered companies. The sample mean for the number of staff in the 50 companies was equal to 200 with a standard deviation of 100. Using a sample of 50, where will 95% of sample means taken from this population lie? Q4(c) In a market research survey 510 people out of 1000 indicated that their favourite yoghurt was Yopnice. Calculate a 95% and a 99% confidence interval for the proportion of the population who think Yopnice is their favourite yoghurt.

Q4(a) State the Central Limit Theorem and explain its implications for calculating sarling errors Q 4(b) A sample of 50 companies was randomly chosen from a population of 50,000 registered companies. The sample mean for the number of staff in the 50 companies was equal to 200 with a standard deviation of 100. Using a sample of 50, where will 95% of sample means taken from this population lie? Q4(c) In a market research survey 510 people out of 1000 indicated that their favourite yoghurt was Yopnice. Calculate a 95% and a 99% confidence interval for the proportion of the population who think Yopnice is their favourite yoghurt.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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QUESTION 4 Q 4(a) State the Central Limit Theorem and explain its implications for calculating sarling errors Q 4(b) A sample of 50 companies was randomly chosen from a population of 50,000 registered companies. The sample mean for the number of staff in the 50 companies was equal to 200 with a standard deviation of 100. Using a sample of 50, where will 95% of sample means taken from this population lie? Q 4(c) In a market research survey 510 people out of 1000 indicated that their favourite yoghurt was Yopnice. Calculate a 95% and a 99% confidence interval for the proportion of the population who think Yopnice is their favourite yoghurt.
Transcribed Image Text:QUESTION 4 Q 4(a) State the Central Limit Theorem and explain its implications for calculating sarling errors Q 4(b) A sample of 50 companies was randomly chosen from a population of 50,000 registered companies. The sample mean for the number of staff in the 50 companies was equal to 200 with a standard deviation of 100. Using a sample of 50, where will 95% of sample means taken from this population lie? Q 4(c) In a market research survey 510 people out of 1000 indicated that their favourite yoghurt was Yopnice. Calculate a 95% and a 99% confidence interval for the proportion of the population who think Yopnice is their favourite yoghurt.
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