Essential Concepts for Statistics: Study Guide for Chapters 1-3
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Pasadena City College**We aren't endorsed by this school
Course
STAT 15
Subject
Statistics
Date
Dec 9, 2024
Pages
8
Uploaded by AgentLightning15788
1 STUDY GUIDE CHAPTER 1-3 Class/group work Studentโs Name_____________________________________________MAKE SURE TO STUDY ALL CONCEPTS COVERED IN THIS STUDY GUIDE AND WORK OUT EVERY SINGLE PROBLEM AND UNDERSTAND THEM, IF YOU DO SO, I ASSURE YOU THAT YOU WILL DO WELL IN THE TEST. Show work to expect credit. 1.Determine whether the given value is a statistic or a parameter. Thirty percent of all dog owners poop scoop after their dog. A) Parameter B) Statistics2.Determine whether the given value is from a discrete or continuous data set. The time it takes a computer to complete a task. A) Continuous B) Discrete3.Determine whether the given value is a statistic or a parameter. After taking the first exam, 15 of the students dropped the class. A) Parameter B) Statistic4.Identify which type of sampling is used. A research team wants to study the demographics of college students in the United States using proportionate samples of students in majors reflecting actual U.S. percentages.A) Cluster B) Convenience C) Stratified D) Systematic E) Simple random 5.Determine which level of measurement is appropriate. Salaries of college professors.A) Nominal B) Ordinal C) Ratio D) Interval 6.A tax auditor selects every 1000th income tax return that is received. Identify which of these types of sampling is used. A) Stratified B) Systematic C) Cluster D) Convenience E) Simple Random 7.The histogram below represents the number of television sets per household for a sample of U.S. households. What is the sample size? Number of Television Sets Per U.S. Household
2 A) 5 households B) 50 households C) 100 households D) 90 households8.The following frequency distribution displays the scores on a math test. Find the class boundaries of scores interval 40-59. 9.The following data represents the number of cars passing through a toll booth during a certain time period over a number of days. 38 39 37 37 44 38 41 38 39 35 42 39 43 37 41 Which of these choices display the correct dot plot?
3 10.The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59 11.A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. 29 30 36 41 45 50 57 61 28 50 36 58 60 38 36 47 40 32 58 46 61 40 55 32 61 56 45 46 62 36 38 40 50 27 Construct a frequency distribution for these ages. Use 8 classes beginning with a lower-class limit of 25. 12.Construct a frequency histogram using the data from #11). 13.Construct a Frequency polygon graph using the data from #11)
4 14.On a math test, the scores of 24 students were91 79 73 65 73 73 91 81 73 62 86 79 79 86 73 79 86 73 79 81 79 86 81 65 Construct a frequency distribution, relative distribution, and cumulative distribution. Use 4 classes beginning with a lower-class limit of 60, then construct a relative frequency histogram.Math Test Score Frequency Relative Frequency Cumulative Frequency 15.Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes. 20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30 32 48 Create a step and stem-leaf plot graph. 16.The following data represents the number of cars passing through a toll booth during a certain time period over a number of days. Construct a dot plot graph. 28 29 27 27 34 28 31 28 29 25 32 29 33 27 31
5 17.The histogram below represents the number of television sets per household for a sample of U.S. households. What is the minimum number of households having the same number of television sets? 18.The test scores of 40 students are listed below. Show work.30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 a)Find ๐56b) Find ๐90c) Find ๐๐= 83 19.A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4, 5, 1, 5, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places. Optional A) 2.37 B) 1.37 C) 9.00 D) 3.46 20.If your score on your next statistics test is converted to a z score, which of these z scores would you prefer? A) -2.00 B) 2.00 C) 0 D) -1.00
6 21.The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's center is 6.9 feet tall. Find the center's z score. Is his score unusual? A) 4.5, yes B) 3.83, no C) 4, no D) 4.95, yes 22.A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z score corresponding to the given value and use the z score to determine whether the value is significant. Consider a score to be significant if its z score is less than -2.00 or greater than 2.00. Round the z score to the nearest tenth if necessary. A) -17.6; significant B) -1.6; not significant C) 1.6; not significant D) -1.6; significant 23.In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations with values less than 86. Find the percentile for 86. A) P612 B) P32 C) P122.56 D) P69 24.A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation.25.How will a high outlier in a data set affect the mean and median? A) Distribution skewed to the right, mean not effected, median skewed to the right B) Distribution skewed to the left, mean pulled to the left, median not effected C) Distribution skewed to the right, mean not effected, median not effected D) Distribution skewed to the right, mean pulled to the right, median not effected
7 26.Listed below are the amounts of time (in months) that the employees of an electronics company have been working at the company. Find the midrange. 19 21 29 33 44 52 61 67 75 78 85 95 132 145 A) 64 months B) 82 months C) 63 months D) 66.9 months 27.A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. 28.Use the Empirical Ruleto answer the following question. At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.5. What percentage of students at the college have a GPA between 2.5 and 3.5? Sketch the graph, label the horizontal number and percentage of each standard deviation from the mean to expect credit. A) 99.7% B) 68% C) 95% D) 84.13% 29.A department store, on average, has daily sales of $29,355.36. The standard deviation of sales is $2,000. On Tuesday, the store sold $36,131.22 worth of goods. Find Tuesday's z score. Was Tuesday an unusually good day? A) 2.71, no B) 3.56, no C) 3.70, yes D) 3.39, yes
8 30.The test scores on the Chapter 8 mathematics test have a mean of 62 and a standard deviation of 11. Andrea scored 90 on the test. How many standard deviations from the mean is that? A) 2.55 standard deviations below the mean B) 0.57 standard deviations below the mean C) 0.57 standard deviations above the mean D) 2.55 standard deviations above the mean 31.Which score has a higher relative position, a score of 43.2 on a test for which x = 36 and s = 9, or a score of 263.4 on a test for which x = 217 and s = 58? A) Both scores have the same relative position. B) A score of 263.4 C) A score of 43.2 32.Find the percentile for the data value. Data set: 116 128 120 114 122 124 114 112 119 116 120 130 112 116 118 113; data value: 122A) 75 B) 85 C) 62 D)70 33.Construct an ordinal boxplot for the given data. Include values of the 5-number summary in all boxplots. The test scores of 40 students are listed below. Construct an ordinal box plotfor the data set. 25 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 34.Construct a modified box plotfor the data. Identify any outliers. The weights (in ounces) of 27 tomatoes are listed below. Make sure to list the Five-Number Summary. 1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6 2.6 2.6 2.7 2.7 2.7 2.8 2.8 2.8 2.9 2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6