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question 15 ch 21* in the 2013 naep sample of michigan twelfth - grader…

Question

question 15
ch 21* in the 2013 naep sample of michigan twelfth - graders, the mean mathematics scores were 152 for female students and 156 for male students. to see if this difference is statistically significant, you would use
the matched pairs t test.
the two - sample t test.
the one - sample t test.
question 16
ch 21 the national park service compared the average amount of money spent by visitors in two different national parks. they sampled visitors on the same day in each of the two parks.
what type of problem is this?
matched pairs
two independent samples

Explanation:

Brief Explanations
  • For Question 15: The two - sample t - test is used when comparing the means of two independent groups (female and male students here). The matched pairs t - test is for related samples (e.g., before - after measurements on the same subjects), and the one - sample t - test is for comparing a sample mean to a known population mean.
  • For Question 16: Since visitors in two different national parks are two separate and independent groups (sampled on the same day but not related in a paired sense like before - after for the same park visitors), it is a case of two independent samples. Matched pairs would imply some form of pairing (e.g., same visitors in two different scenarios for the same park).

Answer:

Question 15: the two - sample t test.
Question 16: two independent samples.