Jan 27 AP Quiz (P5)
Quiz by einam livnat
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- Q1300s
- Q2
According to a survey, 95% of consumers around the world say that they trust recommendations from friends and family more than other forms of advertising. Suppose we took random samples of 50 consumers from this population and computed the proportion of consumers in each sample who trust recommendations from friends and family the most.
What would be the most likely shape of the sampling distribution of the proportions of consumers who trust recommendations from friends and family most be?
Approximately normal
Uniform (flat)
Trimodal (three bumps)
Bimodal (two bumps)
Skewed right
Skewed left
300s - Q3
Dr Shmoop was curious if sample mean was an unbiased estimator of population mean score. He took a random sample of 5 individuals and calculated the sample mean score. He repeated this process for a total of 50 trials. His results are summarized in the dotplot below, where each dot represents the sample mean from a sample of size n=5. If the population mean is 18, does sample mean appear to be a biased or unbiased estimator of population mean?
There isn't enough information to answer this question.
The sample mean is a biased estimator because it consistently underestimated the real mean.
The sample mean is an unbiased estimator.
The sample mean is a biased estimator because it consistently overestimated the real mean.
300s - Q4300s
- Q5
The dotplots below show an approximation to the sampling distribution for three different estimators of the same population parameter. If the actual value of the population parameter is 1, which dotplot displays the estimator with highest bias and lowest variability?
Statistic F
Statistic E
Statistic D
Statistic C
Statistic A
Statistic B
300s - Q6
A psychologist takes an SRS of 40 people in their twenties and n people in their fifties and surveys them about their anxieties. Suppose that 48% of people in their twenties and 28% of people in their fifties have anxiety about flying. The psychologist will then look at the difference 20's-50's between the proportions of people with anxiety about flying in each sample. She then examines the shape of the sampling distribution of the difference in sample proportions.
What is the smallest sample size n that she should've used for this shape to be approximately normal? (note n must be an integer, because it is people...)
13
35
No sample size of people in their 50's would work because the distribution of the sample means of people in their 20s is not approximately normal, so the difference won't be either.
14
36
100
300s - Q7Users enter free textType an Answer30s
- Q8Users enter free textType an Answer300s
- Q9Users enter free textType an Answer300s
- Q10
Is it appropriate to use the formula below for the standard deviation of the difference between sample proportions?
No, because the sample size does not satisfy the 10% rule for the pink balloons, and the samples are therefore not independent.
No, because both proportions are taken from the same sample, and so are not independent.
No, because the sample size does not satisfy the 10% rule for the green balloons, and the samples are therefore not independent.
Yes it is appropriate, because this is the correct formula for standard deviation of a difference between sample proportions.
300s - Q11300s
