
Sampling Distribution of Sample Means
Authored by Anthony Clark
Mathematics
12th Grade
Used 3+ times

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. McLemore finds the mean of her 4th period class - a randomly selected sample of 39 students. What is the probability that the mean of her class is more than 6 miles?
0.002
0.070
0.898
1.27
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?
.0057
.025
.345
.781
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours. What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?
.430
.148
.281
.087
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49
μx-bar = 2.51, σx-bar = 0.06
μx-bar = 0.358, σx-bar = 0.06
μx-bar = 0.0251, σx-bar = 0.06
μx-bar = 2.51, σx-bar = 0.857
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In one region of the country, the mean length of stay in hospitals is 5.5 days with standard deviation 2.6 days. Because many patients stay in the hospital for considerably more days, the distribution of length of stay is strongly skewed to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, x, recorded for each sample. Which of the following is the best description of the sampling distribution of x ?
Strongly skewed to the right with mean 5.5 days and standard deviation 2.6 days
Strongly skewed to the right with mean 5.5 days and standard deviation 0.26 day
Strongly skewed to the right with mean 5.5 days and standard deviation 0.026 day
Approximately normal with mean 5.5 days and standard deviation 2.6 days
Approximately normal with mean 5.5 days and standard deviation 0.26 day
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A recent study was conducted to investigate the duration of time required to complete a certain manual dexterity task. The reported mean was 10.2 seconds with a standard deviation of 16.0 seconds. Suppose the reported values are the true mean and standard deviation for the population of subjects in the study. If a random sample of 144 subjects is selected from the population, what is the approximate probability that the mean of the sample will be more than 11.0 seconds?
0.1151
0.2743
0.7257
0.8849
Based on the values of the true mean and true standard deviation, it can be concluded that the population distribution is not normal and therefore the probability cannot be calculated.
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
The standard deviation of the sampling distribution for average taxi fare where the sample size is 25 is _____.
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