Question 1If 100 random samples of size n were drawn and, if, for each, a 99% confidence interval...

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Question 1If 100 random samples of size n were drawn and, if, for each, a 99% confidence interval for m was computed, then exactly 99 of these confidence intervals would contain the true population mean within their limits. Elaborate.Question 2Assuming the population variance is known, and then if the sample size is doubled, the variance of the distribution of the sample mean of the random variable would be halved. ExplainQuestion 3How does Z, the standard normal distribution variable relate to the standard deviation of its distributionQuestion 4   It is desired to test the claim that a steady diet of a medicine will cause a male to lose 10 lbs over 5 months. A random sample of 49 males was taken yielding an average weight loss over 5 months of 12.5 pounds, with s = 7 lbs.a.Identify the critical value suitable for conducting a two-tail test of the hypothesis at the 2% level.b.Is there any significant evidence that the pharmaceutical company claim about the drug performance is not valid, given an a=0.02? Show your work.			Document Preview:				Question 1 If 100 random samples of size n were drawn and, if, for each, a 99% confidence interval for ? was computed, then exactly 99 of these confidence intervals would contain the true population mean within their limits. Elaborate.  Question 2 Assuming the population variance is known, and then if the sample size is doubled, the variance of the distribution of the sample mean of the random variable would be halved. Explain  Question 3 How does Z, the standard normal distribution variable relate to the standard deviation of its distribution  Question 4 It is desired to test the claim that a steady diet of a medicine will cause a male to lose 10 lbs over 5 months. A random sample of 49 males was taken yielding an average weight loss over 5 months of 12.5 pounds, with s  =  7 lbs.  a. Identify the critical value suitable for conducting a two-tail test of the hypothesis at  the 2% level. b.Is there any significant evidence that the pharmaceutical company claim about the drug performance is not valid, given an  ?=0.02? Show your work.

Robert · Accepted Answer

Question 1 
If 100 random samples of size n were drawn and, if, for each, a 99% confidence interval 
for  was computed, then exactly 99 of these confidence intervals would contain the 
true population mean within their limits. Elaborate. 
Answer: 
The statement mentioned above that “if 100 random samples of size n were 
drawn and, if, for each, a 99% confidence interval for  was computed, then 
exactly 99 of these confidence intervals would contain the true population 
mean within their limits” is a true statement. The 99% percentage 
confidence interval does not mean that the population parameter ‘’ lies in 
that interval with 99% probability, rather it is mean 99 of 100 such interval 
would include population mean within their limit. The confidence interval is 
used to measure the reliability of an estimate and varies, in principle, from 
sample to sample as it is an observed interval and therefore a 99% 
confidence interval does not mean that there is 99% probability that the 
population mean would lie within that limit. Moreover, confidence interval is 
used to determine the frequency with which an observed interval would 
contain the parameter and therefore 99% confidence coefficient measures 
the proportion of total intervals which would contain population mean within 
its limits.

Question 1 If 100 random samples of size n were drawn and, if, for each, a 99% confidence interval for m was computed, then exactly 99 of these confidence intervals would contain the true population...

Answer To: Question 1 If 100 random samples of size n were drawn and, if, for each, a 99% confidence interval...

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