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StatProb Module 5 Exercise 1

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

Which refers to a method for testing a claim or hypothesis about a population parameter using sample data?

a)

Hypothesis testing

b)

Level of significance

c)

Test statistic

d)

Rejection region

2.

Which of the following is a possible form of the null hypothesis? Check all that apply.

a)

μ=50\mu=50  

b)

μ50\mu\ne50  

c)

μ50\mu\le50  

d)

μ50\mu\ge50  

3.

Determine the null and alternative hypotheses:

On the average, Filipinos use Facebook for 4.17 hours per day.

a)

H0: μ=4.17, Ha: μ4.17H_0:\ \mu=4.17,\ H_a:\ \mu\ne4.17

b)

H0: μ4.17, Ha: μ>4.17H_0:\ \mu\le4.17,\ H_a:\ \mu>4.17  

c)

H0: μ4.17, Ha: μ<4.17H_0:\ \mu\ge4.17,\ H_a:\ \mu<4.17  

d)

H0: μ4.17, Ha: μ=4.17H_0:\ \mu\ne4.17,\ H_a:\ \mu=4.17  

4.

Determine the null and alternative hypotheses:

The mean annual income of workers who are college graduates is at least P100,000 per year.

a)

H0: μ=100000, Ha: μ100000H_0:\ \mu=100000,\ H_a:\ \mu\ne100000

b)

H0: μ100000, Ha: μ>100000H_0:\ \mu\le100000,\ H_a:\ \mu>100000  

c)

H0: μ100000, Ha: μ<100000H_0:\ \mu\ge100000,\ H_a:\ \mu<100000  

d)

H0: μ100000, Ha: μ=100000H_0:\ \mu\ne100000,\ H_a:\ \mu=100000  

5.

Determine the null and alternative hypotheses:

The mean number of cars a person owns in his lifetime is not more than 10.

a)

H0: μ=10, Ha: μ10H_0:\ \mu=10,\ H_a:\ \mu\ne10

b)

H0: μ10, Ha: μ>10H_0:\ \mu\le10,\ H_a:\ \mu>10  

c)

H0: μ10, Ha: μ<10H_0:\ \mu\ge10,\ H_a:\ \mu<10  

d)

H0: μ10, Ha: μ=10H_0:\ \mu\ne10,\ H_a:\ \mu=10  

6.

Which of the following alternative hypotheses will require a one-tailed test? Check all that apply.

a)

Ha: μ25H_a:\ \mu\ne25  

b)

Ha: μ<25H_a:\ \mu<25  

c)

Ha: μ>25H_a:\ \mu>25  

7.

Which value separates the rejection region from the non-rejection region?

a)

Critical value

b)

Test statistic

c)

Level of significance

d)

Alpha

8.

z-test or t-test?

normal population, n = 25, and s = 5

a)

z-test

b)

t-test

9.

Which of the following will result in a correct decision? Check all that apply

a)

the null hypothesis is true, and you fail to reject it

b)

the null hypothesis is false, and you fail to reject it

c)

the null hypothesis is true, and you reject it

d)

the null hypothesis is false, and you reject it

10.

You test whether a new drug intervention can alleviate symptoms of an autoimmune disease. The null hypothesis is that the new drug has no effect on symptoms of the disease. The alternative hypothesis is that the drug is effective for alleviating symptoms of the disease. When will a Type I error occur?

a)

You conclude that the drug intervention improved symptoms when it actually didn't.

b)

You conclude that the drug intervention didn't improve symptoms when it actually did.

c)

You conclude that the drug intervention improved symptoms and it actually does.

d)

You conclude that the drug intervention didn't improve symptoms and it actually doesn't.