Normal Distribution
2 years ago
sherieastman
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16 QuestionsShow answers
  • Question 1
    120 seconds
    Q. In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
    answer choices
    69.37 in 
    67.58 in 
    73.12 in 
  • Question 2
    300 seconds
    Q. The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?
    answer choices
    -1.33
    1.33
    0.88
    1.02
  • Question 3
    300 seconds
    Q. The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 4.6 seconds?
    answer choices
    0.83
    1.07
    -2
    -1.07
  • Question 4
    300 seconds
    Q. The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?
    answer choices
    0.6915
    0.1762
    0.8238
    -0.93
  • Question 5
    300 seconds
    Q. The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?
    answer choices
    0.3446
    0.2856
    0.4
    0.6554
  • Question 6
    300 seconds
    Q. The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 
    answer choices
    81.5%
    47.5%
    68%
    95%
  • Question 7
    300 seconds
    Q. Between what two standard deviations of a normal distribution contain 68% of the data?
    answer choices
    one below and one above
    two below and two above
    two below and zero
    zero and two above
  • Question 8
    300 seconds
    Q. The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. 
    If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist   sizes greater than 31 inches?
    answer choices
    92.4%
    10.5%
    16%
    7.6%
  • Question 9
    300 seconds
    Q. The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

    Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
    answer choices
    115
    130.75
    145
    120
  • Question 10
    300 seconds
    Q. What is the the total area under the standard normal distribution curve?
    answer choices
    100
    25
    .5
    1
  • Question 11
    300 seconds
    Q. μ = 70 , σ = 8 , X = 50 . Find z score
    answer choices
    2.5
    -2.5
    5.2
    -5.2
  • Question 12
    300 seconds
    Q. The z-score represents.....
    answer choices
    the amount of standard deviations a data value is above or below the mean.
    the percentile the data value is above or below the mean.
    the amount of standard deviations a data value is above or below the median.
    the percent the data value is above or below the mean.
  • Question 13
    300 seconds
    Q. The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
    Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?
    answer choices
    0.67 inch
    263 inches
    272.44 inches
    277.25 inches
  • Question 14
    60 seconds
    Q. What is the the total area under the standard normal distribution curve?
    answer choices
    100
    25
    .5
    1
  • Question 15
    45 seconds
    Q. The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

    About what percent of the products last between 12 and 15 days?
    answer choices
    68%
    34%
    16%
    2.5%
  • Question 16
    30 seconds
    Q. Which is NOT true about the standard normal distribution?
    answer choices
    It is bell-shaped.
    It is unimodal.
    The mean is 0 and the standard deviation is 1.
    It is asymmetrical.
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