Normal distributions and standard scores

STA 112. Practice questions, not past papers.

Lessons

• Recognise a normal model
• Standardise and read areas

Practice questions

1. A standard normal distribution has which parameters?

   Statistics study edition practice item Q178; Source: T90-94

2. Which expression standardises X~N(μ,σ²)?

   Statistics study edition practice item Q179; Source: T90-94

3. Which area equals P(Z>z)?

   Statistics study edition practice item Q180; Source: T90-94

4. For a normal distribution, mean, median and mode are what?

   Statistics study edition practice item Q181; Source: T90-94

5. X is normal with mean 300 and SD 50. Find P(X>362). Give the value to 4 decimal places.

   Statistics study edition practice item Q182; Source: T92-94

6. X is normal with mean 50 and SD 10. Find P(X>60). Give the value to 4 decimal places.

   Statistics study edition practice item Q183; Source: T92-94

7. X is normal with mean 65 and SD 15. Find P(X>80). Give the value to 4 decimal places.

   Statistics study edition practice item Q184; Source: T92-94

8. A standard normal variable has variance _____.

   Statistics study edition practice item F058; Source: T90-94

9. Subtracting μ and dividing by σ is called _____.

   Statistics study edition practice item F059; Source: T90-94

Topic gap report