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Practice questions and answers for a final exam in mat 202, a course likely related to mathematics or statistics. It covers topics such as data types, measures of central tendency, probability, and statistical hypothesis testing. Useful for students preparing for their final exam in mat 202, as it offers examples and solutions to common exam questions.
Typology: Exams
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The students in a class are given an exam with a maximum score of 100. Their numerical scores are an example of what type of data?
80 55 60 80 75 100 60 55 80 70 95 90 ✔✔Ans: Ratio
(since a the score is given we know it is not nominal, it is not in order so it is not ordinal nor is it written in interval form)
These exam scores are an example of ratio data because there is a meaningful zero point for these data, and because the ratio of two scores is meaningful. That is, a score of zero on the exam would mean that no questions were answered correctly, and a score of 90 on the exam would be 50% better than a score of 60.
What is the mode of the values in the table?
80 55 60 80 75 100 60 55 80 70 95 90 ✔✔Ans: 80
The mode is 80 because it is the most frequently-occurring value in the table.
Which situation involves two statistically independent events? ✔✔Ans: fair dice thrown at the
same time
How many different combinations of 2 students can be chosen from a class of 25, where the
order of selection does not matter? ✔✔Using the combination formula,
n!/r!(n-r)!
A researcher performs a two-tailed test of the hypothesis that a sample mean is greater than zero at the 90% confidence level. The population variance is known. What is the critical value of the
z-statistic? ✔✔1.
The z-statistic of z=1.65 would result in a confidence level of 90.1%, because the area under the normal curve between z=0 and z=1.65 corresponds an area of 0.4505. This is as close to a 90% confidence level as a table with only two decimal places for z allows.
The dean at a university believes that the grade point average varies across freshman, sophomore, junior, and senior years. She takes a random sample of 25 students from each year and looks up their grades. The null hypothesis is