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12th

grade

65%

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Peter Mwatha

4 years

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20 questions

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- 1. Multiple Choice30 seconds1 pt
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 Choice30 seconds1 pt
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 Choice2 minutes1 pt
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 Choice30 seconds1 pt
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 Choice2 minutes1 ptIn 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptBetween 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptThe 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 Choice5 minutes1 ptWhat is the the total area under the standard normal distribution curve?10025.51
- 15. Multiple Choice5 minutes1 ptμ = 70 , σ = 8 , X = 50 . Find z score2.5-2.55.2-5.2
- 16. Multiple Choice5 minutes1 ptThe 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 Choice5 minutes1 ptThe 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 Choice1 minute1 ptWhat is the the total area under the standard normal distribution curve?10025.51
- 19. Multiple Choice45 seconds1 ptThe 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 Choice30 seconds1 ptWhich 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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