AP Stat Sampling Distribution Means and Proportions

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
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
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For the population of farm workers in New Zealand, suppose that weekly income has a distribution with a mean of µ = $500 and a standard deviation of σ = $160. A survey of 100 farm workers is taken, including information on their weekly income. What is the probability that a randomly selected worker has an income of at most $530?
0.0304
0.9696
0.4591
0.318
~0
3.
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
4.
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean?
Approximately normal with mean $206,274 and standard deviation $3,788
Approximately normal with mean $206,274 and standard deviation $37,881
Approximately normal with mean $206,274 and standard deviation $520
Strongly right-skewed with mean $206,274 and standard deviation $3,788
Strongly right-skewed with mean $206,274 and standard deviation $37,881
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
Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate. The standard deviation of the sampling distribution for average taxi fare where the sample size is 25 is _____.
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