AP Statistics Sampling Distribution

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true.
What is the mean of the sampling distribution of p-hat?
0.4
0.44
0.56
0.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
These symbols represent the mean and standard deviation for which of the following distributions?
The Population
The Sample
The Sampling Distribution
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the standard deviation of the sampling distribution?
200
16
25
4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?
P = -1.05
P = .1469
P = .0202
P = .8531
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A machine fills bottles of shampoo, the amount poured has a mean of 16 oz and standard deviation 0.5 oz. A sample of 30 shampoo bottles has a mean of 15.8 oz. What is the probability of getting a mean weight of less than 15.8 oz?
0.99
0.66
0.34
0.01
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Students in a statistics class participated in a project in which they attempted to estimate the true mean height of all students in their large high school. The students were split into 4 groups. Each group had their own sampling method, and they used it to select a sample each day for 50 days. Shown above are the estimates based on their 50 samples. After the samples were collected and the means were plotted the teacher visited the school nurse who told her that the true mean height of all students in the school is 67.5 inches. Which group produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability?
Group 1
Group 2
Group 3
Group 4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
6E: A machine fills bottles of shampoo, the amount poured has a mean of 16 oz and standard deviation 0.5 oz. A sample of 30 shampoo bottles has a mean of 15.8 oz. What is the probability of getting a mean weight of less than 15.8 oz?
0.99
0.66
0.34
0.01
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