01When a hypothesis test was done for a parameter to be more than a value (i.e, a right-tailed test), what would be the conclusion if the critical value of the significance level is smaller than the test statistics?

(Hint: Sketch the areas under normal curve or t-curve for significance level and p-value and compare them)

Select one:

a. Reject the null hypothesis and there is not significant evidence for alternative hypothesis.

b. Reject the null hypothesis and there is significant evidence for alternative hypothesis.

c. Do not reject the null hypothesis and there is significant evidence for alternative hypothesis.

d. Do not reject the null hypothesis and there is not significant evidence for alternative hypothesis.

02Choose the most suitable significance value for which one can have a high chance of making the type I errorwhen the hypotheses test is done.

Select one:

a. =0.03

b. =0.1

c. =0.01

d. =0.005

03Given the following information:

H0: p = 0.09

H1: p < 0.09

n=60

sample proportion = 0.085

Calculate the test statistic (four decimal places).

Answer: ?

04 Which of the following statistics are the most resistant to outliers?

Select one:

a. Mean and Standard Deviation

b. Mean and IQR

c. Mean and Median

d. Median and Inter-quartile Range

05 Suppose that 24% of M&M's are blue. If we take samples of 100 M&M's, would the Central Limit Theorem apply?

Select one:

a. Yes, np 10 and n(1-p) 10

b. No, n30

c. No, np 10 and n(1-p) 10

d. Yes, n 30

06 A sample of 51 Australian male ages 18 - 60 are taken. Their average height is 174.8 cm with a standard deviation of 6.7 cm. What is the critical value to be used to construct a 95% confidence interval?

Select one:

a. 1.96

b. 2.009

c. 1.645

d. 1.676

07 What statistical tool is suitable to test whether there is a difference in the average spending on clothing between male and female?

Select one:

a. ANOVA

b. Correlation

c. Chi-Square Test

08 Which of the following corresponds to Type II error in a hypothesis test?

Select one:

a. Not rejecting H0, when H0 is false

b. Rejecting H0, when H0 is true

c. Not rejecting H0, when H0 is true

d. Rejecting H0, when H0 is false

09 Which of the following is a correct statement regarding significance level, ?

Select one:

a. It is the probability of making Type II error

b. It is the probability of making Type I error

c. It can be any positive number

d. It must be between 0 and 1 and usually closer to 1

10A survey for analysing consumer behavious includes the following questions:

What is your age?

What is your gender?

What is your status (Single or Married)?

How much you spend on clothing per month (in A$)?

How much you spend on beer per month (in A$)?

Are you willing to pay more for popular brand (Yes or No)?

What graphical display is suitable to examine if there is a relationship between spending on clothing and spending on beer?

Select one:

a. Scatter plot

b. Box plot

c. Segmented bar chart

d. Pie chart

11 Which of the following is the correct alternative hypothesis to test if the average spending on clothing is more than $50/week.

Select one:

a. H1: p > 50

b. H1: > 50

c. H1 > 50

d. H1: p = 50

12A survey for analysing consumer behavious includes the following questions:

What is your age?

What is your gender?

What is your status (Single or Married)?

How much you spend on clothing per month (in A$)?

How much you spend on beer per month (in A$)?

Are you willing to pay more for popular brand (Yes or No)?

How many categorical variables will be resulted from the above survey questions?

Answer: ?