MTH 207
Quiz 8a
Solutions
1. We have studied two major probability distributions, one of which is discrete and the other continuous. Name
the one that is discrete.
Solution. The binomial distribution is discrete.
2. What is the mean of the standard normal
MTH 207
Quiz 10b
Solutions
1. How does one know whether to use the t-distribution or the normal distribution when constructing a condence
interval estimate of the population mean?
Solution. The t-distribution is used when the sample size is small, less th
MTH 207
Quiz 10a
Solutions
1. How does one know whether to use the t-distribution or the normal distribution when constructing a condence
interval estimate of the population mean?
Solution. The t-distribution is used when the sample size is small, less th
MTH 207
Quiz 8b
Solutions
1. We have studied two major probability distributions, one of which is discrete and the other continuous. Name
the one that is continuous.
Solution. The normal distribution is continuous.
2. What is the standard deviation of the
MTH 207
Quiz 2b
Name:
1. Construct a frequency table from the following data. Include both the frequency and relative frequency for
each class. You can leave the relative frequencies in terms of fractions or ask me for help.
large
medium
small
large
large
MTH 207
Quiz 2a
Name:
1. Construct a frequency table from the following data. Include both the frequency and relative frequency for
each class. You can leave the relative frequencies in terms of fractions or ask me for help.
red
white
blue
white
white
red
MTH 207
Quiz 6b
1. What does it mean for events to be dependent?
Solution. Events are dependent when the occurrence of one aects the occurrence of the other.
2. Let A and B be events with P (A) = .2, P (B) = .6, and P (A and B) = .13.
(a) Are A and B inde
MTH 207
Quiz 9a
Solutions
1. What are statistics and parameters and how are they related?
Solution. A statistic is a measurement of a sample, and a parameter is a measurement of a population.
Statistics are used to estimate parameters.
2. A population is
MTH 207
Quiz 5b
Solutions
1. If the histogram of a population is bell-shaped, what percentage of its population will have z-scores between
1 and 2?
Solution. By the Empirical Rule, 68% of the population will have z-scores between 1 and 1, and 95% of
the p
MTH 207
Quiz 9b
Solutions
1. What are statistics and parameters and how are they related?
Solution. A statistic is a measurement of a sample, and a parameter is a measurement of a population.
Statistics are used to estimate parameters.
2. A population is
MTH 207
Quiz 6a
Solutions
1. What does it mean for events to be independent?
Solution. Events are independent when the occurrence of one does not aect the occurrence of the other.
2. Let A and B be events with P (A) = .3, P (B) = .4, and P (A and B) = .11
MTH 207
Quiz 1a
Solutions
1. Explain the dierence between descriptive and inferential statistics.
Solution. In descriptive statistics some characteristic of a sample or population is described. The results of a
study are organized and reported. In inferen
MTH 207
Quiz 5a
Solutions
1. If the histogram of a population is bell-shaped, what percentage of its population will have z-scores between
3 and 2?
Solution. By the Empirical Rule, 99.7% of the population will have z-scores between 3 and 3, and 95%
of the
MTH 207
Quiz 3b
SOLUTIONS
1. Create a frequency table with 5 classes for the following data. Use only frequencies, not relative frequencies.
25
47
30
48
31
50
31
50
35
51
37
54
37
54
37
56
Solution. The highest score is 72 and the lowest is 25.
Class
25 x
MTH 207
Quiz 4a
Solutions
1. Find the medians of the following samples.
(a) cfw_5, 7, 1, 4, 3, 10, 8
Solution. When the values are written in order the sample becomes cfw_1, 3, 4, 5, 7, 8, 10. There are an odd
number of values, so the median is the number
MTH 207
Quiz 4a
Solutions
1. Find the medians of the following samples.
(a) cfw_16, 12, 21, 10, 15, 14
Solution. When the values are written in order the sample becomes cfw_10, 12, 14, 15, 16, 21. There are an
even number of values, so the median is the a