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MATH 534 Week 1 Addendum; Homework-Quiz Review, Quizzes of Mathematics

MATH 534 Week 1 Addendum; Homework-Quiz Review

Typology: Quizzes

2023/2024

Available from 12/18/2024

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Week 1 Addendum: Homework/Quiz Review
1. Is each item below an example of descriptive or inferential statistics?
Take a sample of cars and test them to determine how many miles per gallon (mpg)
they give. Use this sample to estimate the mpg of all cars.
Answer: Inferential
To get an idea of student performance on a test, analyze the data in the gradebook
about the test. Answer: Descriptive
2. In each case, identify the type of data (or level of data):
The dollar sales at the local pizza shop each month - Ratio
An employees identification number - Nominal
Rating of how satisfied you are with your professor. Possible values are: "very
dissatisfied," "somewhat dissatisfied," "somewhat satisfied," or "very satisfied." -
ordinal
Amount you have won/lost when gambling in Atlantic City (in dollars) - Interval
Color of a car - nominal
3. For the following frequency distribution:
Class Frequency Cumulative
frequency
30-under 40 7 7
40-under 50 10 17
50-under 60 2 19
60-under 70 5 24
24
a. what is the relative frequency for the class 50-under 60? 0.08 (2/24) or 8%
b. what is the cumulative frequency for the class 50-under 60? 19
NOTE: To answer the questions above it is helpful to create the following table:
Class Freq Cumulativ
e Freq
Relative Freq
30-under 40 7 7 7/24 = 0.29
40-under 50 10 17 10/24 = 0.42
50-under 60 2 19 2/24 = .08
60-under 70 5 24 5/24 =.21
24 1.00
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Week 1 Addendum: Homework/Quiz Review

  1. Is each item below an example of descriptive or inferential statistics?  Take a sample of cars and test them to determine how many miles per gallon (mpg) they give. Use this sample to estimate the mpg of all cars. Answer: Inferential  To get an idea of student performance on a test, analyze the data in the gradebook about the test. Answer: Descriptive
  2. In each case, identify the type of data (or level of data):  The dollar sales at the local pizza shop each month - Ratio  An employee’s identification number - Nominal  Rating of how satisfied you are with your professor. Possible values are: "very dissatisfied," "somewhat dissatisfied," "somewhat satisfied," or "very satisfied." - ordinal  Amount you have won/lost when gambling in Atlantic City (in dollars) - Interval  Color of a car - nominal
  3. For the following frequency distribution: Class Frequency Cumulative frequency 30-under 40 7 7 40-under 50 10 17 50-under 60 2 19 60-under 70 5 24 24 a. what is the relative frequency for the class “50-under 60”? 0.08 (2/24) or 8% b. what is the cumulative frequency for the class “50-under 60”? 19 NOTE: To answer the questions above it is helpful to create the following table: Class Freq Cumulativ e Freq Relative Freq 30-under 40 7 7 7/24 = 0. 40-under 50 10 17 10/24 = 0. 50-under 60 2 19 2/24 =. 60-under 70 5 24 5/24 =. 24 1.

c. Draw a histogram. 35 45 55 65 0 2 4 6 8 10 12 d. Draw a polygon. 35 45 55 65 0 2 4 6 8 10 12 e. Draw an ogive. 30 40 50 60 70 0 5 10 15 20 25 30

  1. Assuming that the dataset 17, 15, 3, 22, 11, 7, 9 is a sample.  What is the standard deviation? 6.  What is the mean? 12.  What is the range? 19
  1. Consider the relative frequency distribution given below: Class Interval Relative Frequency 1-under 5 0. 5-under 10 0. 10-under 15 0. 15-under 20 0. There were 40 numbers in the data set. How many of the numbers were less than 10? 20 NOTE: the first categories have a combine relative frequency of .50 or 50%. 50% of 40 is 20.
  2. The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram of waiting time for drive up ATM customers. Approximately how many drive up ATM customers waited at least 8 minutes. 15 Note: At least means 8 or more. 10 people waited 8 minute, 5 people waited 9 minute so the answer is 15
  3. We want to study the satisfaction level of a local cable company’s customers. The cable company supplies a list of all of their 1973 customers. We send a survey to all of them. For this study, is the group being sampled a sample or a population? Population
  4. We are given the following ages of people in a company: 35, 47, 31, 50, 42, 37, 52, 52 Construction a fequency distribution with 3 classes: Class Interval Frequency 30 – under 40 3 40 – under 50 2 50 – under 60 3 Note: In the diagram to the left, the frequency of a number (e.g. 0, 1, 2, etc.) is represent by the bar that is drawn to the RIGHT of the number. Ex. The frequency of the number 5 is
  • ANSWER: The frequencies for the 3 classes would be 3, 2,