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Sample Examination 3 - Statistical Techniques | SPEA, Exams of Environmental Science

Indiana University Bloomington (IU)Environmental Science

Prof. Henry Wakhungu

Material Type: Exam; Professor: Wakhungu; Class: STATISTICAL TECHNIQUES; Subject: Public And Environmental Affairs; University: Indiana University - Bloomington; Term: Fall 2009;

Typology: Exams

Pre 2010

Uploaded on 12/06/2009

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SPEA K-300 STATISTICAL TECHNIQUES SAMPLE EXAM #3

Part I

1. The test statistic for testing a hypothesis for large sample means when the population standard

deviation is not known is

a. the t distribution. b. the z distribution.

c. the F distribution. d. the



distribution.

2. In a large sample test of means, both samples must have at least:

a. 120 items b. 30 items

c. 60 items d. 90 items.

3. A Type I error is committed when

a. p value is larger than 1.0. b. the significance level is greater than 0.05.

c. we accept a false H0 d. we reject a true H0.

4. The null hypothesis is a claim about

a. the size of the sample. b. the size of the population.

c. the value of a population parameter. d. the value of a sample statistic

5. When the value of α is increased, the probability of committing a type I error is

a. Decreased

b. Increased

c. The same

d. None of the above

Discover Exams of Environmental Science Indiana University Bloomington (IU)

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SPEA K-300 STATISTICAL TECHNIQUES SAMPLE EXAM

Part I 1. The test statistic for testing a hypothesis for large sample means when the population standard deviation is not known is a. the t distribution. b. the z distribution. c. the F distribution. d. the  distribution. 2. In a large sample test of means, both samples must have at least: a. 120 items b. 30 items c. 60 items d. 90 items. 3. A Type I error is committed when a. p value is larger than 1.0. b. the significance level is greater than 0.05. c. we accept a false H 0 d. we reject a true H 0. 4. The null hypothesis is a claim about a. the size of the sample. b. the size of the population. c. the value of a population parameter. d. the value of a sample statistic

5. When the value of α is increased, the probability of committing a type I error is

a. Decreased

b. Increased

c. The same

d. None of the above

6 According to Beautiful Bride magazine, the average age of a groom is now 26.2 years.

A sample of 16 prospective grooms in Chicago revealed that their average age was 26.

years with a standard deviation of 5.3 years. At^ ^ ^0.^05 , what is the test value?

A) 1.

B) 0.

C) 0.

D) 2.

7. Which type of alternative hypothesis is used in the figure below?

A) H^ 1 :^ ^  k

B) H^ 1 :^ ^  k

C) H^ 1 :^ ^  k

D) H^ 1 :^ ^  k

8. Using the standard normal distribution table, determine the critical value for the right-

tailed test with^ ^ ^0.^035.

A) 0.

B) 2.

C) 1.

D) 2.

15. Which of the following is a stronger correlation than 0.54? a. 0.67 b. 0. c. 0.0 d. 0.

Part II (Show your work for partial credit)

1. A medical researcher wishes to see whether the pulse rates of smokers are higher than

the pulse rates of non-smokers. Samples of 100 smokers and 100 non-smokers are

selected. The results are shown here. Can the researcher conclude at alpha = 0.01, that

smokers have higher pulse rates than non-smokers?

Smokers Non-smokers

Mean = 90 Mean = 88

Variance = 25 Variance = 36

Sample size = 100 Sample size = 100

2. The Monroe county commissioners feel that a higher percentage of women work there

than in neighboring brown County. To test this, they randomly select 1000 women in

each county and find that in Monroe County, 622 women work and in Brown County 594

work. Using alpha (level of significance) as 5%, do you think the Monroe County

Commissioners are correct? (Use the traditional method – show the five steps)

3. A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 8 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours? a. State the null and alternate hypotheses. H 0 :

H 1 :

b. State the decision rule.

c. Compute the value of the test statistic. d. What is your decision regarding the null hypothesis? Interpret the result.

Sample Examination 3 - Statistical Techniques | SPEA, Exams of Environmental Science

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Download Sample Examination 3 - Statistical Techniques | SPEA and more Exams Environmental Science in PDF only on Docsity!

SPEA K-300 STATISTICAL TECHNIQUES SAMPLE EXAM

5. When the value of α is increased, the probability of committing a type I error is

a. Decreased

b. Increased

c. The same

d. None of the above

6 According to Beautiful Bride magazine, the average age of a groom is now 26.2 years.

A sample of 16 prospective grooms in Chicago revealed that their average age was 26.

years with a standard deviation of 5.3 years. At^ ^ ^0.^05 , what is the test value?

A) 1.

B) 0.

C) 0.

D) 2.

7. Which type of alternative hypothesis is used in the figure below?

A) H^ 1 :^ ^  k

B) H^ 1 :^ ^  k

C) H^ 1 :^ ^  k

D) H^ 1 :^ ^  k

8. Using the standard normal distribution table, determine the critical value for the right-

tailed test with^ ^ ^0.^035.

A) 0.

B) 2.

C) 1.

D) 2.

Part II (Show your work for partial credit)

1. A medical researcher wishes to see whether the pulse rates of smokers are higher than

the pulse rates of non-smokers. Samples of 100 smokers and 100 non-smokers are

selected. The results are shown here. Can the researcher conclude at alpha = 0.01, that

smokers have higher pulse rates than non-smokers?

Smokers Non-smokers

Mean = 90 Mean = 88

Variance = 25 Variance = 36

Sample size = 100 Sample size = 100

2. The Monroe county commissioners feel that a higher percentage of women work there

than in neighboring brown County. To test this, they randomly select 1000 women in

each county and find that in Monroe County, 622 women work and in Brown County 594

work. Using alpha (level of significance) as 5%, do you think the Monroe County

Commissioners are correct? (Use the traditional method – show the five steps)

4. The average price of 15 cans of tomato soup from different stores is $0.73, and the

standard deviation is $0.05. The average price of 24 cans of chicken noodle soup is

$0.91, and the standard deviation is $0.03. At α = 0.01, is there a significant

difference in price?