It’s time to put what you’ve learned to the test, get 8 questions right to pass this unit.

Q1.

What type of distribution would you display in a tabular format?

There are two correct answers.

A

Continuous

B

Probability mass function

C

Discrete

D

Probability density function

Q2.

When does a type II error occur?

Choose the correct answer.

A

When the null hypothesis is not rejected, and it is false

B

When the null hypothesis is not rejected, and it is true

C

When the null hypothesis is rejected, and it is true

D

When the null hypothesis is rejected, and it is false

Q3.

What is the P(x > 20) if X is a normally distributed variable with mean μ = 40 and standard deviation σ = 4?

Choose the correct answer.

A

0.99

B

0.79

C

0.89

D

0.85

Q4.

In a recent test, you scored 1.0 standard deviations above the average score attained, and the scores are normally distributed. What percentage of students scored lower than you?

Choose the correct answer.

A

69.1

B

84.1

C

34.1

D

50.0

Q5.

68% of the weights of bags of gravel are between 1.2 Kg and 1.6 Kg. What is the standard deviation if you assume that the data is normally distributed?

Choose the correct answer.

A

0.1

B

0.4

C

0.2

D

0.3

Q6.

Which names can be given to a distribution with zero EXCESS kurtosis?

There are two correct answers.

A

Normal

B

Platykurtic

C

Leptokurtic

D

Mesokurtic

Q7.

What is indicated if an observation from a normal distribution has a z-score of -2.5?

Choose the correct answer.

A

The distribution is not normal.

B

It is not unusual.

C

It is a possible outlier.

D

It is a definite outlier.

Q8.

99.7% of students at a school are between 1.1m and 1.9m tall. What is the standard deviation if you assume that the data is normally distributed?

Choose the correct answer.

A

0.20

B

0.13

C

0.40

D

0.27

Q9.

What value is given for the EXCESS kurtosis of any univariate normal distribution?

Choose the correct answer.

A

0

B

3

C

1

D

2

Q10.

What common characteristics does a leptokurtic distribution have?

There are two correct answers.

A

Outliers

B

Heavy tails

C

Kurtosis less than 3

D

Zero EXCESS kurtosis

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