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- 1. Multiple Choice
434 Company pack coffee in bags marked as 250 g
A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.
Assuming this data is normally distributed, what percentage of packs are underweight?
2.5%
3.5%
4%
5%
- 2. Multiple Choice
Students pass a test if they score 50% or more.
The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.
Assuming this data is normally distributed, what percentage of students pass the test? in percentage...
5
16
24
32
- 3. Multiple Choice
The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14
The town has a population of 5,000.
How many would you expect to be aged between 22 and 57?
You can use this Standard Normal Distribution curve:
1750
3860
3870
4330
- 4. Multiple Choice
68% of the marks in a test are between 51 and 64
Assuming this data is normally distributed, what are the mean and standard deviation?
Mean = 57
S.D. = 6.5
Mean = 57
S.D. = 7
Mean = 57.5
S.D. = 6.5
Mean = 57.5
S.D. = 13
- 5. Multiple ChoiceIn 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%.69.37 in67.58 in73.12 in
- 6. Multiple ChoiceThe 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?-1.331.330.881.02
- 7. Multiple ChoiceThe 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?0.831.07-2-1.07
- 8. Multiple ChoiceThe 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?0.69150.17620.8238-0.93
- 9. Multiple ChoiceThe 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?0.34460.28560.40.6554
- 10. Multiple ChoiceThe 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?81.5%47.5%68%95%
- 11. Multiple ChoiceBetween what two standard deviations of a normal distribution contain 68% of the data?one below and one abovetwo below and two abovetwo below and zerozero and two above
- 12. Multiple ChoiceThe 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?92.4%10.5%16%7.6% - 13. Multiple ChoiceThe 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?115130.75145120 - 14. Multiple ChoiceWhat is the the total area under the standard normal distribution curve?10025.51
- 15. Multiple Choiceμ = 70 , σ = 8 , X = 50 . Find z score2.5-2.55.2-5.2
- 16. Multiple ChoiceThe z-score represents.....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.
- 17. Multiple ChoiceThe 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?0.67 inch263 inches272.44 inches277.25 inches - 18. Multiple ChoiceWhat is the the total area under the standard normal distribution curve?10025.51
- 19. Multiple ChoiceThe 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?68%34%16%2.5% - 20. Multiple ChoiceWhich is NOT true about the standard normal distribution?It is bell-shaped.It is unimodal.The mean is 0 and the standard deviation is 1.It is asymmetrical.
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