Statistical Analysis Self-Quiz: Degrees of Freedom & t-Values

Question 1 Not answered Marked out of 1.00 Flag question Question text An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t-value (t * ) for the given sample size n=29 and confidence level CL=95%. Use the t-probability table below. Question 1Answer a. df = 29, t * 29 =2.02 b. df = 28, t * 28 =2.53 c. df = 28, t * 28 =2.05 Feedback Your answer is incorrect. The correct answer is: df = 28, t * 28 =2.05

Question 2 Not answered Marked out of 1.00 Flag question Question text One can assess the gender-related salary gap by comparing the salaries of randomly sampled men and women using paired data. Question 2Select one: True False Feedback The correct answer is 'False'. Question 3 Not answered Marked out of 1.00 Flag question Question text Suppose there are two data sets that are matched with one another. Each data point in one set corresponds to exactly one data point in the other set. Question 3Select one: True False Feedback The correct answer is 'True'. Question 4 Not answered Marked out of 1.00

Flag question Question text The figure below shows three unimodal and symmetric curves. Determine which curve represents the t-distribution with 5 degrees of freedom: Question 4Answer a. solid b. dashed c. dotted Feedback Your answer is incorrect. The correct answer is: dashed Question 5 Not answered Marked out of 1.00 Flag question Question text The figure below shows three unimodal and symmetric curves. Determine which curve represents the standard normal (z) distribution:

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Question 5Answer a. solid b. dashed c. dotted Feedback Your answer is incorrect. The correct answer is: solid Question 6 Not answered Marked out of 1.00 Flag question Question text An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the degree of freedom for the sample size of n=17, the test statistics T=-3.45 and the p-value = 0.003. Determine if the null hypothesis would be rejected at α = 0.05. Question 6Answer a.

df = 16, do not reject H 0 b. df = 16, reject H 0 c. df = 17, reject H 0 Feedback Your answer is incorrect. The correct answer is: df = 16, reject H 0 Question 7 Not answered Marked out of 1.00 Flag question Question text Two data sets of different sizes cannot be analyzed as paired data. Question 7Select one: True False Feedback The correct answer is 'True'. Question 8 Not answered Marked out of 1.00 Flag question Question text In a paired analysis we first take the difference of each pair of observations, and then we do inference on these differences. Question 8Select one: True False Feedback

The correct answer is 'True'. Question 9 Not answered Marked out of 1.00 Flag question Question text Air quality measurements were collected in a random sample of 25 country capitals in 2013, and then again in the same cities in 2014. We would like to use these data to compare average air quality between the two years. Should we use a paired or non-paired test? Question 9Answer a. paired test b. non-paired test Feedback Your answer is incorrect. The correct answer is: paired test Question 10 Not answered Marked out of 1.00 Flag question Question text An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t-value (t*) for the given sample size n=6 and confidence level CL=90%. For the critical t-value, use the truncated t-probability below:

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Question 10Answer a. df = 5, t * 5 =2.02 b. df = 5, t * 5 =1.48 c. df = 6, t * 6 =2.57 Feedback Your answer is incorrect. The correct answer is: df = 5, t * 5 =2.02 Finish review

Self-Quiz Unit 4

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