Question: SAMPLING DISTRIBUTION & CONFIDENCE INTERVAL 1.1 Explain the relationship between sampling distribution and confidence interval. 1.2 A Normal population has mean = 10 and standard

SAMPLING DISTRIBUTION & CONFIDENCE INTERVAL

1.1 Explain the relationship between sampling distribution and confidence interval.

1.2 A Normal population has mean = 10 and standard deviation = 3. Suppose a random sample of size n = 40 is selected. Calculate the probability that the sample mean is between 9.0 and 11.0?

1.3 If the true percentage of voters who support a Candidate is 40%, what is the probability that in a sample n = 200 voters the percentage who support the candidate will be between (a) 40% and 45%?, (b) more than 50%?

1.4 A sample of 10 circuits from a large normal population has a mean resistance of 2.2 ohms. If it is known that the population standard deviation is 0.35 ohms, determine the 95% confidence interval for the true mean resistance.

1.5 A random sample of size n = 25 yield a sample mean of 50 and standard deviation of 8. Calculate the 95% confidence interval for the population mean .

1.6 Calculate the sample size needed in order to estimate the true proportion of defective in a large population within 3% (95% confidence)? (Assume that the sample proportion is 0.12)

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