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Multiple choice questions on statistics

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1.A recent survey of frozen convenience meals found a correlation of r = 0.768 between calories and fat content in the sampled meals. Which of the following is the most appropriate conclusion from this survey about the relationship between calories and fat content?

a. Higher fat content in the sampled meals resulted in a higher total number of calories in the majority of cases in the sample
b. There is not enough evidence of a correlation between the calories and the fat content of the sampled meals to draw a conclusion
c. This survey substantiates the findings of previous research that "higher fat meals tend to produce a larger number of calories "
d. There is a strong correlation between the calorie count and fat content of the sampled meals

2. All the events in the sample space that are not part of the specified event are called:
a. simple events.
b. joint events.
c. the sample space.
d. the complement of the event.

3. An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following result was obtained:
Did Well on Midterm Did Poorly on Midterm
Studying forExam 80 20
Went Bar Hopping 30 70

Referring to the table above, the events "Did Well on Midterm" and "Did Poorly on Midterm" are:
a. statistically dependent
b. mutually exclusive
c. collectively exhaustive
d. all of the above

4. A professor receives, on average, 24.7 e-mails from students the day before the midterm exam. To compute the probability of receiving at least 10 e-mails on such a day, he will use what type of probability distribution?
a. Binomial distribution
b. Poisson distribution
c. Normal distribution
d. Hypergeometric distribution

5. The covariance
a. must be between -1 and +1
b. must be positive
c. can be positive or negative
d. must be less than +1

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1.A recent survey of frozen convenience meals found a correlation of r = 0.768 between calories and fat content in the sampled meals. Which of the following is the most appropriate conclusion from this survey about the relationship between calories and fat content?

a. Higher fat content in the sampled meals resulted in a higher total number of calories in the majority of cases in the sample
b. There is not enough evidence of a correlation between the calories and the fat content of the sampled meals to draw a conclusion
c. This survey substantiates the findings of previous research that "higher fat meals tend to produce a larger number of calories "
d. There is a strong correlation between the calorie count and fat content of the sampled meals

Answer: ...

Solution Summary

Answers and explanations to 5 questions on correlation, covariance, sample space, Poisson distribution

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7 Multiple choice questions on statistics

1.Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the
various features of that set of data are called
a. statistical inference.
b. the scientific method.
c. sampling.
d. descriptive statistics.

2. Which of the following is most likely a parameter as opposed to a statistic?
a. The average score of the first five students completing an assignment.
b. The proportion of females registered to vote in a county.
c. The average height of people randomly selected from a database.
d. The proportion of trucks stopped yesterday that were cited for bad brakes.

3. Which of the following is not an element of descriptive statistical problems?
a. An inference made about the population based on the sample.
b. The population or sample of interest.
c. Tables, graphs, or numerical summary tools.
d. Identification of patterns in the data.

4. When studying the simultaneous responses to two categorical questions, we should set up a
a. contingency table.
b. frequency distribution table.
c. cumulative percentage distribution table.
d. Histogram.

5. A marketing research firm, in conducting a comparative taste test, provided three types of peanut butter to a sample of households randomly selected within the state. Which of the four methods of data collection is involved when people are asked to compare the three types of peanut butter?
a. Published sources
b. Experimentation
c. Surveying
d. Observation

6. Which descriptive summary measures are considered to be resistant statistics?
a. The mean and standard deviation.
b. The interquartile range and range.
c. The mode and variance
d. The median and interquartile range.

7. According to the empirical rule, if the data form a "bell-shaped" normal distribution, _______ percent of the observations will be contained within 1 standard deviation around the mean.
a. 68.26
b. 88.89
c. 93.75
d. 95.44

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