Question

In: Statistics and Probability

A plan for an executive travellers’ club has been developed by an airline on the premise...

A plan for an executive travellers’ club has been developed by an airline on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 40 who would qualify.

Which analysis would be suitable to test that the airline’s premise is correct?

Select one:

a. One-sample z-test for proportion

b. Regression

c. Two-sample t-test for independent samples

d. Chi-square test for independence

e. One-sample t-test for the mean

f. Two-sample F test for the variances

g. Matched-pair t-test

Question 2

Hexavalent chromium has been identified as an air toxin of concern in some locations. A random sample of 33 houses was taken from a location of interest and the concentration of chromium was measured indoors and outdoors for each house to test if there was a difference between these 2 measurements.

Based on this information, which method of analysis should you use?

Select one:

a. Regression

b. One-sample t-test for the mean

c. Chi-square test for independence

d. Matched-pair t-test

e. Two-sample t-test for independent samples

f. Two-sample F test for the variances

g. One-sample z-test for proportion

Question 3

Pilates is a popular set of exercises for the treatment of individuals with back pain. An experiment was carried out involving 86 subjects with non-specific back pain. They were randomly divided into 2 groups – the first group receiving just educational materials and the second group participating in 6 weeks of Pilates. The experimenters wanted to test if the true average pain level for the control group (educational materials) exceeded that for the treatment (Pilates) group.

Which analysis did they use?

Select one:

a. Two-sample t-test for independent samples

b. Matched-pair t-test

c. Regression

d. One-sample t-test for the mean

e. Two-sample F test for the variances

f. One-sample z-test for proportion

g. Chi-square test for independence

Question 4

Each individual in a sample of nursing home patients was cross-classified both with respect to cognitive state (mild or no impairment, moderate impairment, severe impairment) and with respect to drug status (no medication, medication changed, medication not changed) to see if there was an association between cognitive state and drug usage.

Which analysis did they use?

Select one:

a. Chi-square test for independence

b. One-sample t-test for the mean

c. Two-sample F test for the variances

d. Matched-pair t-test

e. Two-sample t-test for independent samples

f. One-sample z-test for proportion

g. Regression

Solutions

Expert Solution

A plan for an executive travellers’ club has been developed by an airline on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 40 who would qualify.

Which analysis would be suitable to test that the airline’s premise is correct?

Select one:

a. One-sample z-test for proportion

(because testing is about population proportion)

Question 2

Hexavalent chromium has been identified as an air toxin of concern in some locations. A random sample of 33 houses was taken from a location of interest and the concentration of chromium was measured indoors and outdoors for each house to test if there was a difference between these 2 measurements.

Based on this information, which method of analysis should you use?

Select one:

d. Matched-pair t-test

(subjects are paired or variable is dependent)

Question 3

Pilates is a popular set of exercises for the treatment of individuals with back pain. An experiment was carried out involving 86 subjects with non-specific back pain. They were randomly divided into 2 groups – the first group receiving just educational materials and the second group participating in 6 weeks of Pilates. The experimenters wanted to test if the true average pain level for the control group (educational materials) exceeded that for the treatment (Pilates) group.

Which analysis did they use?

Select one:

a. Two-sample t-test for independent samples

(two independent samples are used )

--------------------

Question 4

Each individual in a sample of nursing home patients was cross-classified both with respect to cognitive state (mild or no impairment, moderate impairment, severe impairment) and with respect to drug status (no medication, medication changed, medication not changed) to see if there was an association between cognitive state and drug usage.

Which analysis did they use?

Select one:

a. Chi-square test for independence

(association between two variable is testing )


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