STATS Techniques Extra Credit Questions
Question # 00031626
Posted By:
Updated on: 11/12/2014 12:37 AM Due on: 11/12/2014
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
123456
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 378 community residents was obtained, and 210 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
$49
$58
$44
$42
Chief Executive Officer
$50
$55
$46
$61
Chief Administrative Office $38
$45
$32
$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.
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
123456
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 378 community residents was obtained, and 210 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
$49
$58
$44
$42
Chief Executive Officer
$50
$55
$46
$61
Chief Administrative Office $38
$45
$32
$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.
-
Rating:
/5
Solution: STATS Techniques Extra Credit Questions Solution