Inferential Statistics Week 1 Quiz Answer
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Question 1)
Researchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. The histogram below shows the sample distribution of heights in centimeters, and the table shows sample statistics calculated based on this sample. Which of the following is not necessarily true?
- The sample mean is 171.1 cm.
- The sample median is 170.3 cm.
- The point estimate for the population mean is 171.1 cm.
- The population mean is 171.1 cm.
Question 2)
Researchers studying anthropometry collected various body and skeletal measurements for 507 physically active individuals. The histogram below shows the sample distribution of heights in centimeters. If the 507 individuals are a simple random sample- and let's assume they are - then the sample mean is a point estimate for the mean height of all active individuals. What measure do we use to quantify the variability of such an estimate? Compute this quantity using the data from this sample and choose the best answer below.
- standard deviation = 0.417
- mean squared error = 0.105
- standard error = 0.417
- standard deviation = 0.019
- standard error = 0.019
Question 3)
For the standard deviation 𝝈 or s and the standard error SE, which of the following is the correct set of descriptions?
- s: variability in sample data
- SE: variability in point estimates from different samples of the same size and from same population
- 𝝈 variability in population data
- 𝝈 variability in sample data
- SE: variability in point estimates from different samples of the same size and from same population
- s: variability in population data
- SE: variability in sample data
- 𝝈: variability in population data
- s: variability in point estimates from different samples of the same size and from same population
- 𝝈: variability in sample data
- s: variability in point estimates from different samples of the same size and from same population
- SE: variability in population data
Question 4)
- n= 10. The population distribution is unknown, but the distribution of data in each sample is heavily skewed.
- n = 120. The population distribution is unknown, but the distribution of data in each sample is slightly skewed.
- n = 120. The population distribution is slightly skewed.
- n = 20. The population distribution is nearly normal.
Question 4)
- For all US residents in 2010, based on this 95% confidence interval, we would reject a null hypothesis stating that the true average number of days of "not good" mental health is 5 days.
- There is not sufficient information to calculate the margin of error of this confidence interval.
- For these 1,151 residents in 2010, we are 95% confident that the average number of days of "not good" mental health is between 3.40 and 4.24 days.
- For all US residents in 2010, there is a 95% probability that the true average number of days of "not good" mental health is between 3.40 and 4.24 days.
- II and III
- I and III
- I and II
- I, II, and III
- None
- (30.12, 31.26)
- (30.49, 30.89)
- (29.50, 31.88)
- (29.28, 32.10)
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