Quarter 1 Exam Review Sheet
1) To estimate the amount of time State College students who live off campus spend to commute to classes each week, a random sample of 45 such students was surveyed.
a) What is the population?
b) What is the sample?
2) Should you stay until the end of a football game? Many fans leave a little early to avoid traffic jams and crowds. A random sample of 63 Southern College League games were studied to determine the proportion of upsets occurring in the last three minutes of play.
a) What is the population?
b) What is the sample?
3) Categorize the style of gathering data (sampling, experiment, simulation, and census) described in each of the following situations:
a) Look at all the apartments in a complex and determine the monthly rent charged for each unit.
b) Given one group of students a flu vaccination and compare the number of times these students are sick during the semester.
c) Select a sample of students and determine the percentage who are taking mathematics this semester.
d) Use a computer program to show the effects on traffic flow when the timing of stoplights is changed.
4) Describe the difference between descriptive and inferential statistics. Give examples to support your cause.
Random Samples:
1) Use a random-number table to select 10 numbers between 23 and 887. Start at column 4, row 12.
2) Use a random-number table to select 10 numbers between 111 and 8,745. Start at column 6, row 14.
Graphs:
1) Based on the data below, complete each of the following:
643658768793646587368562 36 52 65 02 19 83 72 45 87 12 38 94 57 23 01 98 57 89 75 89 43 79 52 07 53 02 76
a) Calculate the class width (desire 8 classes).
b) Construct a table with the following columns: Class, Class Boundaries, Tally, Frequency, Relative Frequency, Cumulative Frequency, and Class Midpoint.
c) Be able to construct a bar graph, histogram, relative frequency histogram, cumulative frequency histogram, and frequency polygon.
Pie Charts:
Aid to Abused Children is a nonprofit organization. Funds are solicited from contributions. For each dollar contributed, 35 cents goes toward administrative personnel salaries, 20 cents toward publicity, and 45 cents toward centers taking care of abused children.
a) Organize the data into a table.
b) Construct a circle graph (pie chart) showing how the contributions are spent.
Time Plots:
A leading investment management firm reported the following percent returns on their investments in the years 1989 through 1993. For 1989, 13.0%; for 1990, 9.1%; for 1991, 15.5%, for 1992, 10.4%, and for 1993, 16.2%.
a) Organize the data into a table.
b) Construct a time plot to display the data.
Pareto Charts:
A survey of students using a new automated telephone registration process identified the following complaints about the system. There were 350 complaints about the registration phone line being busy. Lack of advising information produced 100 complaints; difficulty in entering course selection code correctly produced 35 complaints. Difficulty in changing a previous course selection generated 120 complaints.
a) Organize the data into a table.
b) Construct a time plot to display the data.
Mean, Median, Mode, Range, Variance, Standard Deviation:
Use the following data values to calculate the mean, median, mode, range, variance, and standard deviation:
625762989782766587762187 69 83 71 57 23 55 78 92 54 75 98 73
Range, Variance, Standard Deviation:
Use the following values to complete the table below and answer what follows:
78123132
x / x2 / x - x bar / (x - x bar)2 = / = / = / =
range = ______variance = ______standard deviation = ______