Question
1. The ________________________ are generally less impacted by outliers than the ________________________. Choose correct answer a. mean and median; standard deviation and interquartile range b.
1. The ________________________ are generally less impacted by outliers than the ________________________.
Choose correct answer
a. mean and median; standard deviation and interquartile range
b. interquartile range and median; standard deviation and mean
c. median and standard deviation; mean and interquartile range
d. mean and standard deviation; median and interquartile range
e. minimum and maximum; first quartile and third quartile
2. A total of 20,000 adults attends a college football game, and a random sample of 350 of these adults is chosen to complete a survey about their perceptions of the concessions available at the football game. When asked if they were happy with the types of concessions available, 72% of the sample said "yes." Using the quick method to approximate the margin of error for this survey will yield approximately what value? Choose the answer that is closest to what you calculate.
Choose correct answer
a. 5%
b. 12%
c. 1%
d. 10%
e. 8%
3. To understand how the method used to teach typing affects typing speed, students who have expressed an interest in learning to type are each randomly assigned to one of two groups. In one group, the students will be taught to type using a new teaching method. In the other group, the students will be taught to type using a traditional teaching method. After five weeks of learning to type by either the new or traditional teaching method, all students will be given a typing test, and the amount of time it takes each student to complete this test, in seconds, will be recorded. Based on what you know about this study, which one of the following answers is correct?
Choose correct answer
a. This is an example of an observational study.
b. The explanatory variable is students' reasons for wanting to learn to type.
c. Method used to teach typing is a quantitative variable.
d. None of the other answer options is a correct conclusion to draw about this study.
e. The response variable is time, in seconds, to complete the typing test.
4. The heart rates (in beats per minute) from a sample of hospital patients are summarized in the table below. Based on this information, which one of the following statements is correct?
Mean | Median | Standard Deviation | Q1 | Q3 | Minimum | Maximum |
98.9 | 96 | 26.8 | 80 | 118.5 | 39 | 175 |
Choose correct answer
a. On average, the values in this data set fall 38.5 beats per minute away from the mean.
b. The 50th percentile in this sample of data is 98.9 beats per minute.
c. A patient with a heart rate of 118.5 beats per minute is at the 75th percentile.
d. The heart rate of 175 beats per minute must be an outlier.
e. Less than half of the patients in the sample had heart rates higher than 80 beats per minute.
5. At a local grocery store, time spent waiting in line at the "quick check-out" follows a Normal distribution, with a mean of 3.4 minutes and a standard deviation of 0.5 minutes. Approximately what percentage of customers wait in line less than 3.1 minutes? Choose the answer that is closest to what you calculate.
Choose correct answer
a. More than 40%
b. 6.68%
c. 21.19%
d. 11.51%
e. 27.42%
6. A total of 66,836 students applied to a medical school in California. Consider all of these applicants to comprise a population. The average GPA for this population is 3.75. Further, 20% of this population is composed of California residents, 10% of this population is composed of international students, and the average age of the students in this population is 22.5 years. When a random sample of students was drawn from this population, the average GPA of the sample was 3.81, the percentage of California residents in the sample was 18%, the percentage of international students in the sample was 12%, and the average age of the sample was 23.5 years. Which of the following numbers is a statistic in this example?
Choose correct answer
a. 20%
b. 22.5
c. 3.75
d. 18%
e. None of the answer options are statistics.
7. Scores on the Law School Admission Test (or LSAT) are Normally distributed, with a mean of 150 points and a standard deviation of 9 points. If Hannah learns that her LSAT score is at the 3rd percentile in this distribution, this means that Hannah scored approximately _____ points. Choose the answer that is closest to what you calculate.
Choose correct answer
a. 133
b. 162
c. 123
d. 167
e. 138
8. Talisha and George are interested in learning about how undergraduate students at OSU use campus library services. To find out more about this topic, Talisha and George each plan to survey a different random sample of OSU undergraduate students. Talisha surveys a random sample of 580 OSU undergraduate students and George surveys a random sample of 290 OSU undergraduate students. If Talisha and George each attempt to estimate a margin of error for their respective samples, who will have the smaller estimated margin of error?
Choose correct answer
a. Without knowing the exact size of the population, it's impossible to answer this question.
b. George will have the smaller estimated margin of error.
c. Talisha will have the smaller estimated margin of error.
d. Talisha and George will each have exactly the same estimated margin of error since they are both sampling from the same population.
e. Without knowing the resulting sample statistics, it's impossible to answer this question.
9. A grocery store keeps track of the amount of money, in dollars, that each customer spends on their purchases. Most customers who frequent this particular grocery store spend a large amount on purchases, but a few spend smaller amounts. Two measures of center were computed for this distribution: $47.46 and $74.91. One of these measures is the mean and one is the median. Which measure must be the median?
choose correct answer
a. The median is $74.91 because the distribution of amounts spent on groceries would be skewed to the right.
b. There is not enough information available in the problem to answer this question.
c. The median is $47.46 because the distribution of amounts spent on groceries would be skewed to the left.
d. The median is $47.46 because the distribution of amounts spent on groceries would be skewed to the right.
e. The median is $74.91 because the distribution of amounts spent on groceries would be skewed to the left.
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