WorksheetsConfidence Intervals for Means Intro
Total questions: 8
Worksheet time: 40mins
Name
Class
Date
1.
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a)
90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144
b)
We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
c)
90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144
d)
We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
2.
What is the margin of error for the interval (6.8, 12.9)?
a)
9.85
b)
3.05
c)
3.50
d)
6.8
3.
A sample of 30 women finds the mean height to be 62.3 in and the standard deviation to be 1.5 in. Find the margin of error of women's heights with a 95% CL.
a)
1.699
b)
0.56
c)
0.537
d)
19.325
4.
A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Based on this sample, a 90% confidence interval for the mean improvement in test scores for all sixth-graders in the city taking this course is found to be (12.6, 14.8). Which of the following are the sample mean and margin of error on which this interval is based?
a)
Sample Mean = 13.7; Margin of Error = 1.1
b)
Sample mean = 13.7; Margin of Error = 2.2
c)
Sample mean is unknown; Margin of Error = 2.2
5.
What is the t value associated with 90% confidence and a sample size of 15?
a)
1.341
b)
1.345
c)
1.761
d)
1.753
6.
In a crash test of 15 troopers, collision repair costs are found to have a distribution that is approximately normal, with a mean of $1800 and a sample standard deviation of $950. Construct a 99% confidence interval for the repair cost.
a)
(1069.77, 2530.23)
b)
(1077.13, 2522.87)
c)
(1167.15, 2432.85)
d)
None of these.
7.
The lifetime of a certain type of batter is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery.
What is the Confidence Interval to one decimal place?
a)
(114.5, 125.6)
b)
(112.8, 127.4)
c)
(112.82, 127.38)
d)
(114.56, 125.64)
8.
The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 13.2, 5.1, 7.5, 8.0, 12.7, 7.6, 13.8, 14.5, 7.7, and 10.5. Determine a 95 percent confidence interval for the mean time for all players.
a)
12.30 < μ < 7.82
b)
7.82 < μ < 12.30
c)
7.72 < μ < 12.40
d)
12.40 < μ < 7.72
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