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Read the following problem. In your answer, please include the following information

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# 1. Directions: Read the following problem. In your answer, please include the following information:

a. Determine if the problem is either a test of hypothesis, a confidence interval or something else and specify the ‘key words’ found in the problem that demonstrate your choice.

b. Determine the procedure name and parameters involved for each problem (use the Stat 200 Formulas and Techniques Summary document.) Specify the ‘key words’ found in the problem that lead you to this choice.

c. If the problem is a hypothesis test, indicated if it has a lower-tail, upper-tail, or two-tail alternative hypothesis as well as the test statistic formula for the test. If the problem is a confidence interval then indicate the formula used for the margin of error.

 

Unless indicated otherwise, you DO NOT need to do the ACTUAL test of hypothesis, confidence interval, etc. Just type your answer to a., b., and c. above in the space below.

 

Problem: A large organization is being investigated to determine if its recruitment is sex-biased. Tables 1 and 2, respectively, show the classification of applicants for sales and for secretarial positions according to gender and result of interview. Table 3 is an aggregation of the corresponding entries of Table 1 and Table 2. Answer each of the following:

 

i. According to the data in tables 1 and 2, does there seem to be an association with gender and hiring status at the 5% significance level?

ii. Does the data in Table 3 indicate the same result?

 

Table 1 Sales Positions

 

Offered

Denied

Total

Male

25

50

75

Female

75

150

225

Total

 

100

 

200

 

300

 

 

Table 2 Secretarial Positions

 

Offered

Denied

Total

Male

 

150

 

50

 

200

 

Female

 

75

 

25

 

100

 

Total

 

225

 

75

 

300

 

 

Table 3 Secretarial and Sales Positions

 

Offered

Denied

Total

Male

 

175

 

100

 

275

 

Female

 

150

 

175

 

325

 

Total

 

325

 

275

 

600

 

 

 

# 2. Directions: Read the following problem. In your answer, please include the following information:

a. Determine if the problem is either a test of hypothesis, a confidence interval or something else and specify the ‘key words’ found in the problem that demonstrate your choice.

b. Determine the procedure name and parameters involved for each problem (use the Stat 200 Formulas and Techniques Summary document.) Specify the ‘key words’ found in the problem that lead you to this choice.

c. If the problem is a hypothesis test, indicated if it has a lower-tail, upper-tail, or two-tail alternative hypothesis as well as the test statistic formula for the test. If the problem is a confidence interval then indicate the formula used for the margin of error.

 

You DO NOT need to do the ACTUAL test of hypothesis, confidence interval, etc., just answer parts a, b, and c for the problem.

 

Problem: An instructor at Arizona State University asked a random sample of 8 students to record their study times in a elementary statistics course. She then made a table for total hours studied over 2 weeks and test scores at the end of the 2 weeks. Here are the data:

 

Study time  10   15   12   20    8     16    14   22

Test Scores  92   75   86   76   92   80   84    81

 

Assuming that a linear association exists, how are the data correlated? Determine the exact linear relationship between study time and test scores and use it to estimate the predicted test score for a student who studies 12 hours.

 

 

 

 

# 3. Directions: Read the following problem. In your answer, please include the following information:

a. Determine if the problem is either a test of hypothesis, a confidence interval or something else and specify the ‘key words’ found in the problem that demonstrate your choice.

b. Determine the procedure name and parameters involved for each problem (use the Stat 200 Formulas and Techniques Summary document.) Specify the ‘key words’ found in the problem that lead you to this choice.

c. If the problem is a hypothesis test, indicated if it has a lower-tail, upper-tail, or two-tail alternative hypothesis as well as the test statistic formula for the test. If the problem is a confidence interval then indicate the formula used for the margin of error.

 

You DO NOT need to do the ACTUAL test of hypothesis, confidence interval, etc., just answer parts a, b, and c for the problem.

 

Problem: A company sells a strong commercial floor cleaner and claims that the flashpoint (the lowest temperature at which the vapor of a combustible liquid can be ignited in air) exceeds 200ºF. A random sample of cleaner was obtained and the flashpoint of each was measured. The sample mean was 198.2ºF and the sample standard deviation was 10ºF. At the 1% significance level, is there sufficient evidence to support the companies claim?

 

 

# 4. Directions: Read the following problem. In your answer, please include the following information:

a. Determine if the problem is either a test of hypothesis, a confidence interval or something else and specify the ‘key words’ found in the problem that demonstrate your choice.

b. Determine the procedure name and parameters involved for each problem (use the Stat 200 Formulas and Techniques Summary document.) Specify the ‘key words’ found in the problem that lead you to this choice.

c. If the problem is a hypothesis test, indicated if it has a lower-tail, upper-tail, or two-tail alternative hypothesis as well as the test statistic formula for the test. If the problem is a confidence interval then indicate the formula used for the margin of error.

 

You DO NOT need to do the ACTUAL test of hypothesis, confidence interval, etc., just answer parts a, b, and c for the problem.

 

Problem: A survey of 500 households found that the family room was the primary television location in 415 homes. Is there evidence that the true population proportion of households having the family room as the primary television location is actually less than .85 at the 5% significance level?

 

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