# Project #26748 - Statistics HW help

1. The following data were obtained from a sample of construction companies who are all building 10-story structures. The survey asked how many full-time workers are employed on the building project.

152  163  142  110  198  125  173  212  200  165  15

Historically, 10-story structures are built on a budget which has a forecasted average employment of 175 full-time workers. At the 10% significance level, is there evidence that the mean number of full-time employees has changed?

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. in order to submit in the dropbox, just answer parts a, b, and c for the problem.

2. A new method of storing snap peas is believed to retain more ascorbic acid than an old method. In an experiment, snap peas were harvested under uniform conditions and frozen in 62 equal-size packages. Thirty five of these packages were randomly selected and stored according to the new method and the other thirty two packages were stored by the old method. Subsequently, ascorbic acid determinations were made, and the following summary statistics were calculated.

New method Old method

Mean 449 440

St. dev. 19 45

Sample size 35 32

Do these data substantiate the claim that more ascorbic acid is retained under the new method of storing at the 5 % level of significance?

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. in order to submit in the dropbox, just answer parts a, b, and c for the problem.

3. A new method of storing snap peas is believed to retain more ascorbic acid than an old method. In an experiment, snap peas were harvested under uniform conditions and frozen in 62 equal-size packages. Thirty five of these packages were randomly selected and stored according to the new method and the other thirty two packages were stored by the old method. Subsequently, ascorbic acid determinations were made, and the following summary statistics were calculated.

New method Old method

Mean 449 440

St. dev. 19 45

Sample size 35 32

Estimate the difference in ascorbic acid concentrations between the two groups with 95% confidence.

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. in order to submit in the dropbox, just answer parts a, b, and c for the problem.

4. A study is to be made of the relative effectiveness of two kinds of cough medicines in increasing sleep. Six people with colds are given medicine A the first night and medicine B the second night. Their hours of sleep each night are recorded.

Subject

1 2 3 4 5 6

Medicine A  4.8  4.1  5.8  4.9  5.3  7.4

Medicine B  3.9  4.2  5.0  4.2  5.4  7.0

Is there a significance difference in the amount of sleep when switching from medicine A to medicine B at the 5% significance level?

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. in order to submit, just answer parts a, b and c of the problem.

5. Government officials near a nuclear power plant have been working on an emergency preparedness program. In 2004, a random sample of 405 community residents was obtained and 275 said they were confident they would be notified quickly of a radioactive incident. In 2005, after the program started, a random sample of 388 community residents was obtained, and 310 felt they were confident they would be notified quickly of a radioactive incident. At the 5% significance level, is there evidence that the true proportion of residents who were confident they would be notified quickly of a radioactive incident in 2005 is greater than in 2004.

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. in order to submit, just answer parts a, b and c for the problem.

6. The following table shows the amount spent on business lunches for twelve senior executives at a large corporation. Is there evidence at a .05 significance level that there is a difference in amount spent determined by corporation title?

 Chief Financial Officer Chief Executive Officer Chief Administrative Office \$49 \$50 \$38 \$58 \$55 \$45 \$44 \$46 \$32 \$42 \$61 \$43

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 Formula and Technique 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. in order to post in the discussion board, just answer a, b, and c for the board.

 Subject Mathematics Due By (Pacific Time) 04/05/2014 08:00 pm
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