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Tire pressure/psi |
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33 |
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35 |
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31 |
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34 |
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27 |
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25 |
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31 |
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28 |
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30 |
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33 |
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30 |
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31 |
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29 |
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32 |
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28 |
| 1 |
ratio |
What level of measurement is tire pressure in pounds per square inch? |
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| 2 |
15 |
Find the sample size n for the tire pressure data. |
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| 3 |
25 |
Find the minimum tire pressure. |
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| 4 |
35 |
Find the maximum tire pressure. |
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| 5 |
10 |
Find the range of the tire pressure. |
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| 6 |
31 |
Find the median tire pressure. |
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| 7 |
31 |
Find the mode for the tire pressure. |
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| 8 |
30.47 |
Find the sample mean tire pressure. |
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| 9 |
2.75 |
Find the sample standard deviation for the tire pressure. |
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| 10 |
0.0902 |
Find the sample coefficient of variation CV. |
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| 11 |
2 |
Width |
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| 12 |
Bins (x) |
Frequency (f) |
Rel. Freq. p(x) |
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27 |
2 |
0.133 |
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29 |
3 |
0.200 |
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31 |
5 |
0.333 |
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33 |
3 |
0.200 |
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35 |
2 |
0.133 |
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Sum: |
15 |
1 |
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| 13 |
Sketch a relative frequency histogram |
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| 14 |
symmetric |
What is the shape of the distribution? |
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Calculation of Mean from Frequency Table |
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Mean from frequency distribution Grade bins |
Freq |
RF or P(x) |
x*p(x) |
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168 |
112 |
0.05 |
7.85 |
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316 |
658 |
0.27 |
86.75 |
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464 |
1172 |
0.49 |
226.87 |
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612 |
332 |
0.14 |
84.77 |
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760 |
123 |
0.05 |
39 |
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Sums: |
2397 |
1 |
445.23 |
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| 15 |
445.23 |
What is the mean grade for the 2397 tires? |
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Linear regression |
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Linear regression Pressure/PSI |
Load/lbs |
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20 |
992 |
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23 |
1062 |
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26 |
1123 |
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29 |
1183 |
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32 |
1243 |
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35 |
1302 |
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| 16 |
20.5 |
Calculate the slope of the linear trend line. |
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| 17 |
586.95 |
Calculate the y-intercept for the data. |
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| 18 |
positive |
Is the correlation positive, negative, or neutral? |
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| 19 |
0.9996 |
Determine the correlation coefficient r. |
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| 20 |
high (or perfect) |
Is the correlation none, low, moderate, high, or perfect? |
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| 21 |
linear |
Does the relationship appear to be linear or non-linear? |
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| 22 |
0.9992 |
Determine the coefficient of determination. |
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| 23 |
99.92% |
What % in the variation in pressure variable accounts for the variation in load? |
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| 24 |
1099.57 |
A tire with an inflation of 25 psi could be expected to bear what load in pounds? |
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| 25 |
33.99 |
A load of 1284 pounds would require what inflation pressure? |
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| 26 |
Tire would blow |
A tire with an inflation of 100 psi could be expected to bear what load in pounds? |
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Normal curves |
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| 27 |
C |
Which of the following curves is a normal curve? |
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For the following normal distribution determine: |
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| 28a |
5.5 |
What is the mean? |
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| 28b |
2.2 |
What is the standard deviation? |
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