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Chapter 6 Homework: Continuous Random Variables, Quizzes of Statistics

Kentucky Community and Technical College SystemStatistics

Chapter 6 Homework: Continuous Random Variables STA 220: Statistics (4224_J101)

Typology: Quizzes

2021/2022

Available from 09/25/2022

ashish-paliwal
ashish-paliwal 🇺🇸

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Chapter 6 Homework: Continuous Random
Variables
1. Question 1
1/1
What are the characteristics of a Normal distribution? Check all that apply.
Hide answer choices
a)
Symmetric
b)
Skewed
c)
Bell-shaped
d)
Flat
e)
f) has mean and standard deviation sigma
2. Question 2
1/1
What does the notation X~N(2,5) mean?
Hide answer choices
pf3
pf4
pf5

Partial preview of the text

Download Chapter 6 Homework: Continuous Random Variables and more Quizzes Statistics in PDF only on Docsity!

Chapter 6 Homework: Continuous Random

Variables

  1. Question 1 1/ What are the characteristics of a Normal distribution? Check all that apply. Hide answer choices a) Symmetric b) Skewed c) Bell-shaped d) Flat e) f) has mean and standard deviation sigma
  2. Question 2 1/ What does the notation X~N(2,5) mean? Hide answer choices

a) X belongs to the set N, which contains the numbers 2 and 5. b) X is normally distributed with mean = 2 and standard deviation = 5. c) X is normally distributed with mean = 5 and standard deviation=2. d) X is a normally distributed variable than can equal 2 or 5.

  1. Question 3 1/ What are the mean and standard deviation of the normal distribution curve pictured below? Hide answer choices a) mean = 80 and standard deviation = 20 b) c) d)

IQ scores are normally distributed with a mean of 100 and standard deviation 16. Calculate the z-score for an IQ of 76. Include one decimal place in your answer. Your Answer: -1.

  1. Question 7 1/ What does a z-score of -2 tell us about a data value? Hide answer choices a) The data value is 2 standard deviations above the mean. b) The data value is 2 standard deviations below the mean. c) The data value is -2 times the mean. d) The data value is 2 points less than the mean.
  2. Question 8 1/ Male heights are normally distributed with a mean of 70 inches and standard deviation 2. Female heights are normally distributed with a mean of 64 and standard deviation 2.5. Who is taller relative to their gender? A 73 inch tall male, or a 67 inch tall female? How do you know? Hide answer choices a) The 73 inch tall male is taller relative to his gender because his z-score is higher. b)

The 67 inch tall female is taller relative to her gender because her z-score is higher. c) The male and the female have the same z-score, so they are both equally tall relative to their gender. d) The male and the female are both 3 inches taller than the mean, so they are equally tall relative to their gender.

  1. Question 9 1/ IQ scores are normally distributed with mean = 100 and standard deviation = 16. Use the Empirical Rule to determine the percentage of people who have an IQ score between 84 and 116. Hide answer choices a) 68% b) 95% c) 99.7% d) 100%
  2. Question 10 1/ IQ scores are normally distributed with mean = 100 and standard deviation = 16. What IQ score does the letter A represent in the diagram below? Enter your answer as a whole number with no units.

Hide answer choices a) The probability that X is greater than 4 or 9. b) The probability that X is less than 4 or 9. c) The probability that the variable X is between 4 and 9. d) The variable P times the quantity (4 < X < 9).