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ECON1193 Business Statistics Week 3

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.

Which of the following are examples of continuous variables? More than one option can be selected

a)

Your parents' age

b)

The distance from your house to RMIT

c)

Your bank account balance

d)

The number of pets one can have

e)

Your weight or height

2.

A normal distribution has a ... shape and describes the tendency of data clustering around a central value, which is the ...

a)

bell, population mean

b)

bell, sample mean

c)

circle, populations standard deviation

d)

bell, sample standard deviation

3.

Which of the following are characteristics of a normal distribution? Select all the correct answers

a)

Bell-shaped

b)

Asymmetrical

c)

Mean = Median = Mode

d)

Data value center at the sample mean

e)

Spread is determined by the sample standard deviation

4.

Which statement is correct when describing a standardized normal distribution?

a)

A standardized normal distribution is known as z-distribution, which has a mean of  μ\mu  and a standard deviation of  σ\sigma  

b)

A standardized normal distribution is known as t-distribution, which has a mean of 0 and a standard deviation of 1. 

c)

Values above the mean have positive z-values and values below the mean have negative z-values.

d)

None of the above

5.

If Assignment 1 mark is normally distributed with a mean of 60 and a standard deviation of 20, the z-value for a student who gets 85 for his/her assignment:

a)

Z = 1

b)

Z = -2

c)

Z = 1.25

d)

Z = -1.5

e)

Z = 0

6.

The total area under the normal distribution curve is

a)

1

b)

100%

c)

0.5

d)

0

e)

Either one of the first two options is correct

7.

Please choose the correct distribution rules of a normal distribution:

a)

μ±2σ68.26%\mu\pm2\sigma\approx68.26\%

b)

μ±σ95%\mu\pm\sigma\approx95\%

c)

μ±2σ95%\mu\pm2\sigma\approx95\%

d)

μ±3σ99.73%\mu\pm3\sigma\approx99.73\%

8.

Suppose X is normally distributed with a mean of 12 and a standard deviation of 3.0. Find P(X > 10)

a)

0.74751

b)

0.25249

c)

0.24751

d)

0.53684

e)

0.47359

9.

Suppose the income per capita in Vietnam is a normal distribution with a mean of $250 and a standard deviation of $300. P(200 < X < 600) is closest to.

a)

0.56247

b)

0.44453

c)

0.33676

d)

0.65561

e)

0.24225

10.

Which of the following statements is correct?

a)

The population mean characterizes the spread of the normal distribution

b)

The population mean characterizes the position of the normal distribution

c)

The population standard deviation characterizes the position of the normal distribution

d)

A normal distribution is asymmetrical around the population mean

11.

How did you find the lecture today?

a)

Pretty good. I enjoyed it!

b)

OK but more examples will be better

c)

Not OK

d)

Bad :(