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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 121
Essay
The 95% confidence interval for the average weight of a product is from 72.23kg to 77.77kg.Interpret this confidence interval.
Question 122
Essay
The weight of a product is normally distributed.A sample of 50 units is taken from a batch.The sample yielded the following results:
x
ˉ
\bar { x }
x
ˉ
= 75kg and s = 10kg. -Calculate a 90 percent confidence interval for
μ
\mu
μ
.
Question 123
Essay
A sample of 2,000 people yielded
p
^
\hat { p }
p
^
=.52. -What is the estimated standard deviation of the sample proportion?
Question 124
Essay
The weight of a product is normally distributed.A sample of 50 units is taken from a batch.The sample yielded the following results:
x
ˉ
\bar { x }
x
ˉ
= 75kg and s = 10kg. -Calculate a 95 percent confidence interval for
μ
\mu
μ
.
Question 125
Essay
A random sample of size 10 is taken from a population assumed to be normal,and
x
ˉ
\bar { x }
x
ˉ
= 1.2 and the variance is .36.Calculate a 99 percent confidence interval for
μ
\mu
μ
.
Question 126
Essay
A sample of 2,000 people yielded
p
^
\hat { p }
p
^
=.52. -Calculate a 95 percent confidence interval for p.
Question 127
Essay
A sample of 2,000 people yielded
p
^
\hat { p }
p
^
=.52. -Calculate a 90 percent confidence interval for p.
Question 128
Essay
An insurance company estimates 40 percent of its claims have errors.The insurance company wants to estimate with 90 percent confidence the proportion of claims with errors.What sample size is needed if they wish to be within 5 percent of the actual?
Question 129
Essay
We want to estimate with 99 percent confidence the percentage of buyers of cars who are under 30 years of age.A margin of error of 5 percentage points is desired.What sample size is needed?
Question 130
Essay
The success rate of a surgical procedure is 70 per 100 cases examined in a sample.Find a 90 percent confidence interval for the total number of successes per 1,000 cases.
Question 131
Essay
A random sample of size 10 is taken from a population assumed to be normal,and
x
ˉ
\bar { x }
x
ˉ
= 1.2 and s = 0.6.Calculate a 90 percent confidence interval for
μ
\mu
μ
.
Question 132
Essay
Find a 99 percent confidence interval for
μ
\mu
μ
if
x
ˉ
\bar { x }
x
ˉ
= 98.6,s = 2,and n = 5.Assume that the sample is randomly selected from a normally distributed population.
Question 133
Essay
A cable TV company wants to estimate the percentage of people in Alberta watching a particular station during an evening hour.An approximation is 20 percent.They want the estimate to be at the 90 percent confidence level and within 2 percent of the actual proportion.What sample size is needed?
Question 134
Essay
In a randomly selected group of 650 automobile deaths,180 were alcohol related.Construct a 95 percent confidence interval for the true proportion of all automobile accidents caused by alcohol.
Question 135
Essay
A random sample of size 10 is taken from a population assumed to be normal,and
x
ˉ
\bar { x }
x
ˉ
= 1.2 and s = .6.Calculate a 95 percent confidence interval for
μ
\mu
μ
.
Question 136
Essay
A sample of 2,000 people yielded
p
^
\hat { p }
p
^
=.52. -Calculate a 99 percent confidence interval for p.
Question 137
Essay
The weight of a product is normally distributed.A sample of 50 units is taken from a batch.The sample yielded the following results:
x
ˉ
\bar { x }
x
ˉ
= 75kg and s = 10kg. -Calculate a 99 percent confidence interval for
μ
\mu
μ
.
Question 138
Essay
The customer service manager for the XYZ Fastener Manufacturing Company examined 60 vouchers and found nine vouchers containing errors.Find a 95 percent confidence interval for the proportion of vouchers with errors.