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Statistics
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Business Statistics in Practice Study Set 1
Quiz 9: Statistical Inferences Based on Two Samples
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Question 101
Essay
A sample of 100 items has a standard deviation of 5.1 and a mean of 21.6.Construct a 95 percent confidence interval for
μ
\mu
μ
.
Question 102
Essay
A sample of 12 items yields an average weight of
x
ˉ
\bar { x }
x
ˉ
= 48.5 grams and a standard deviation of s = 1.5 grams.Assuming weights follow a normal distribution,construct a 90 percent confidence interval for the population mean weight.
Question 103
Essay
Given the following test scores,find a 95 percent confidence interval for the population mean: 148,154,158,160,161,162,166,170,182,195,236.Assume population normality.
Question 104
Essay
What sample size is needed to estimate with 95 percent confidence the mean intake of calcium within 20 units of the true mean if the intake is normal with a variance of 1900 units?
Question 105
Essay
Of a random sample of 600 trucks at a bridge,114 had bad signal lights.Construct a 95 percent confidence interval for the percentage of trucks that had bad signal lights.
Question 106
Essay
In a study of 265 subjects,the average score on the examination was 63.8 and s = 3.08.What is a 95 percent confidence for
μ
\mu
μ
? Assume scores are normally distributed.
Question 107
Essay
The success rate of a procedure is 37 per 120 cases in a sample.Find a 95 percent confidence interval for the actual success proportion of the procedure.
Question 108
Essay
What sample size is needed to obtain a 90 percent confidence interval for the mean protein content of meat if the estimate is to be within 2 grams of the true mean value? Assume that the variance is 49 grams.