Is the sample size large enough to apply the central limit


Benefits of FDI

In April 2003, a CRISIL survey showed that 17.59% of the labor market is fully satisfied with FDI in India.

a. Assuming the sample size was 800, how many would have said that the labor market is satisfied with FDI?

b. Is the sample size large enough to apply the Central Limit Theorem (CLT)? Explain. Assume the other conditions for using the CLT are met.

c. Find a 95% confidence interval for the percentage that is satisfied with FDI, using the numbers from part a.

d. Find the width of the interval you found in part c, by subtracting the lower boundary from the upper boundary.

e. Now assuming the sample size was multiplied by 5 (n = 4500) and the percentage was still 17.59%, how many would have been satisfied by FDI?

f. Find a 95% confidence interval, using the numbers from part e.

g. What is the width of the interval you found in part f? h. When the sample size is multiplied by 5, is the width of the interval divided by 5? If not, what is it divided by?

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Basic Statistics: Is the sample size large enough to apply the central limit
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