
Confidence Interval for a Mean, Sigma Known
Authored by Anthony Clark
Mathematics
12th Grade

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A confidence interval is centered around...
a parameter
a statistic
the sample size
the population size
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A sample of size 49 has sample mean 35 and sample standard deviation 11. Construct a 98% confidence interval for the population mean using this information.
13.34,38.66
38.66,31.34
31.34,38.66
38.66,13.34
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A random sample is drawn from a population of known standard deviation 11.3. Construct a 90% confidence interval for the population mean based on the information given (not all of the information given need be used)
n= 100, x¯ = 105.2, s = 11.2
103.35,107.05
93.35,117.05
107.05,103.35
117.05,93.35
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the number
z
needed in the construction of a confidence interval:
when the level of confidence is 90%
1.64
2.58
2.33
1.96
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the number
z
needed in the construction of a confidence interval:
when the level of confidence is 99%
1.64
1.96
2.33
2.58
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A random sample of 120 students from a large university yields mean GPA 2.71 with sample standard deviation 0.51. Construct a 90% confidence interval for the mean GPA of all students at the university
1.63,3.79
2.63,2.79
3.79,1.63
2.97,2.63
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the minimum sample size necessary to construct a 99% confidence interval for mu with a margin of error E=0.2. Assume that the population standard deviation is sigma=1.3.
208
280
260
206
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