Confidence Intervals for One Sample T

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Thirty randomly selected students took the calculus final. If the sample mean was 92 and the standard deviation was 9.4, construct a 99 percent confidence interval for the mean score of all students from which the sample was gathered.
89.08 < μ < 94.92
87.27 < μ < 96.73
87.29 < μ < 96.71
87.77 < μ < 96.23
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.
We are 95% confident that the interval (150, 350) captures the true average caloric content.
We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
None of these are correct.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A quality control specialist at a glass factory must estimate the mean clarity rating for a new batch of glass using a sample of 18 glass sheets from the batch. Past investigations show that clarity ratings are normally distributed. The specialist decides to use a t-distribution rather than a z-distribution because ...
The t distribution is more accurate than a z distribution.
Clarity ratings for the entire bacth are normally distributed.
The t-distribution will create a narrower interval than z.
The standard deviation for the population is unknown.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following does NOT have an affect on the width of a confidence interval?
Sample mean
t*
Sample standard deviation
Sample size
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An irate patient complained that the cost of a doctor's visit was too high. She randomly surveyed 20 other patients and found that the mean amount of money they spent on each doctor's visit was $44.80. The standard deviation of the sample was $3.53. Find the 95% confidence interval of the population mean.
$43.15 - $46.45
$44.53 - $48.21
$42.65 - $48.25
$43.15 - $48.25
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given a sample standard deviation "0.5", n=30, and a confidence interval "90%". Solve for the margin of error "E" for the t-distribution (σ unknown). Round your answer to the nearest hundredth.
0.16
1.18
0.19
1.06
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A quality control inspector will measure the salt content (in milligrams) in a random sample of bags of potato chips from an hour of production. Which of the following would result in the smallest margin of error in estimating the mean salt content μ?
90% confidence; n = 25
90% confidence; n = 50
95% confidence; n = 25
95% confidence; n = 50
n=100 at any confidence level
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