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Exam 2: Descriptive Statistics

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Question 101

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Which of the following graphical tools is not used to study the shapes of distributions?

A) Stem-and-leaf display
B) Scatter plot
C) Histogram
D) Dot plot
E) Cumulative frequency distribution

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Question 102

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The relative frequency is the frequency of a class divided by the total number of measurements.

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Question 103

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In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68 -What is the median?

Determine the mode of the data 2,4,6,2,5,6,2,9,4,5,2,1.

What is the range of the following set of data: 3,7,2,1,8?

The proportion of measurements in a class is called the _______ of that class.

A measurement located between the inner and outer fences of a box-and-whisker display is a(n)_____.

Histograms and stem-and-leaf displays are used to visualize the distribution of _________ data.

In a survey of 550 randomly-selected business statistic students were surveyed on their impressions of their course, instructor, and textbook. The results are as follows: $\begin{array} { ll l } \text {Rate the overall quality of your course. } \\&\text { Excellent } & 154 \\&\text { Good } & 187 \\&\text { Fair } & 71 \\&\text { Poor } & 138\\ \text { How effective was your instructor?} \\&\text { Very effective } & 75 \\&\text { Somewhat effective } & 220 \\&\text { Somewhat ineffective } & 155 \\&\text { Very ineffective } & 100\\ \text {How easy was it to read and understand the textbook? } \\&\text { Very easy } & 21 \\&\text { Easy } & 83 \\&\text { Hard } & 361 \\&\text { Very hard } & 85\end{array}$ Use the above results to answer the following questions: Compute a point estimate of the proportion of all college statistic students who: -Of the students who thought their textbook was very hard to read,50 also thought that the quality of the course was "poor".What proportion of students who think that their textbook was "hard" also thought their course was "poor".

What is the 10^th percentile?

The average life of Canadian women is 73.75 years and the standard deviation of the women's life expectancy in Canada is 6.5 years. -Based on Chebychev's inequality determine the upper and lower bounds on the average life expectancy of the Canadian women such that at least 90% of all population is included.

In a normally distributed population,what tolerance interval contains 99.73 percent of all measurements?

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.) . They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stop watch to record the time they spent in line. The times recorded were as follows (in minutes) 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118 -What is the first quartile?

The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. A random sample of the price of 10 computers was taken with the following results; $3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000 -What is the 90^th percentile?

Twenty students were randomly selected from a business statistics course and were asked to report the number of times that they had eaten a meal at the university's cafeteria within the past month. Below are the values reported: 7, 8, 10, 11, 8, 6, 10, 9, 9, 8, 13, 12, 8, 11, 11, 14, 8, 7, 10, 12 -Find the z-score for an IQ test score of 92.2 when the mean is 100 and the standard deviation is 15.

The reaction time (in seconds) to a stop at a red light for a group of adult men was found to be 0.74, 0.71, 0.41, 0.82, 0.74, 0.85, 0.99, 0.71, 0.57, 0.85, 0.57, 0.55 -What is the 10^th percentile?

The values given below are snow depths measured as part of a study of satellite observations and water resources. 19, 18, 12, 25, 22, 8, 8, 16 -What is the 10^th percentile?

In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are (mean = 70) : 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68 -What is the range?

What is the IQR?

The reaction time (in seconds) to a stop at a red light for a group of adult men was found to be 0.74, 0.71, 0.41, 0.82, 0.74, 0.85, 0.99, 0.71, 0.57, 0.85, 0.57, 0.55 -What is the IQR?