Lab Assignment 12.3, 12.5, 13.1, 13.2, 13.3, 11.3
- Page ID
- 36535
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Lab Assignment 12.3, 12.5, 13.1, 13.2, 13.3, 11.3
For each of the following problems, if no significance level is given, use 0.05.
1. SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in the table below show different depths with the maximum dive times in minutes.
Use your calculator to find the regression line and predict the maximum dive time for 110 feet.
|
x (depth in feet) |
y (maximum dive time) |
|
50 |
80 |
|
60 |
55 |
|
70 |
45 |
|
80 |
35 |
|
90 |
25 |
|
100 |
22 |
- Calculator work
- Find a, b
- Find the regression line
- Find Critical Value and compare with r and state conclusion about linear correlation
- Find the best predicted maximum dive time for 110 feet
2. The following table shows economic development measured in per capita income PCINC. Find the regression line and best estimate PCINC for 1905.
|
Year |
1870 |
1880 |
1890 |
1900 |
1910 |
1920 |
1930 |
1940 |
1950 |
1960 |
|
PCNIC |
340 |
499 |
592 |
757 |
927 |
1050 |
1170 |
1364 |
1836 |
2132 |
- Calculator work
- Find a, b
- Find the regression line
- Find Critical Value and compare with r and state conclusion about linear correlation
- Find the best estimate PCINC for 1905.
3. MRSA, or Staphylococcus aureus, can cause a serious bacterial infections in hospital patients. The table below shows various colony counts from different patients who may or may not have MRSA.
|
Conc = 0.6 |
Conc = 0.8 |
Conc = 1.0 |
Conc = 1.2 |
Conc = 1.4 |
|
9 |
16 |
22 |
30 |
27 |
|
66 |
93 |
147 |
199 |
168 |
|
98 |
82 |
120 |
148 |
132 |
Test whether the mean number of colonies are the same or are different.
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim
4. Four sororities took a random sample of sisters regarding their grade means for the past term.
|
Sorority 1 |
Sorority 2 |
Sorority 3 |
Sorority 4 |
|
2.17 |
2.63 |
2.63 |
3.79 |
|
1.85 |
1.77 |
3.78 |
33.45 |
|
2.83 |
3.25 |
4.00 |
3.08 |
|
1.69 |
1.86 |
2.55 |
2.26 |
|
3.33 |
2.21 |
2.45 |
3.18 |
Using a significance level of 1%, is there a difference in mean grades among the sororities?
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim
5. Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200 passengers is taken. The table below shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.
|
Traveling Distance |
Third class |
Second class |
First class |
|
1-100 miles |
21 |
14 |
6 |
|
101-200 miles |
18 |
16 |
8 |
|
201-300 miles |
16 |
17 |
15 |
|
301-400 miles |
12 |
14 |
21 |
|
401-500 miles |
6 |
6 |
10 |
- Null and Alternative Hypothesis
- Calculator Work
- Test Statistic and P-Value
- Conclusion about the null hypothesis
- Final conclusion that addresses the original claim