Using Statistical Thinking and Summarizing Data
Unit 1 Problem Set 1: Using Statistical Thinking and Summarizing Data
1. (Page 11 #26) –
a. Yes
b. Yes, because there is about a 1 chance in 1000 of getting the types of success rates generated through the study.
c. Yes, because a 92% success rate is a much better result than a 72% success rate.
d. Yes, after the study has been conducted numerous times to have validity.
2. (Page 17 #30) – a. The sample are the 1012 randomly surveyed adults. b. The population is that of all adults. c. The sample is representative of the population.
3. (Page 24 #18) – One problem would be where to enter the data. Another problem would be the accuracy of the data since some students may not know their exact height.
4. (Page35 #8) – The given description corresponds to an experiment since some children were actually given Echinacea.
5. (Page 35 #18) – It is a stratified sampling since students were first grouped and then a sample was taken from each separate group.
6. (Page 60 #12) – Except for certain weights, most of the weights are about the same. Weights (lb) Discarded | Metal | Plastic | 0.00-0.99 | 5 | 14 | 1.00-1.99 | 26 | 20 | 2.00-2.99 | 15 | 21 | 3.00-3.99 | 12 | 4 | 4.00-4.99 | 4 | 2 | 5.00-5.99 | 0 | 1 |
7. (Page 61 #18) – The data can be used to determine which class occurred most often and whether or not those amounts of strontium-90 were hazardous to the population. Classes | Frequency | Relative | Frequencies | 110-119 | 2 | 4.5 | 2/40=.05=5% | 120-129 | 2 | 4.5 | 2/40=.05=5% | 130-139 | 5 | 12.5 | 5/40=.125=12.5% | 140-149 | 9 | 22.5 | 9/40=.225=22.5% | 150-159 | 13 | 32.5 | 13/40=.325=32.5% | 160-169 | 6 | 15 | 6/40=.15=15% | 170-179 | 2 | 5 | 2/40=.05=5% | 180-189 | 1 | 2.5 | 1/40=.025=2.5% |
8. (Page 67 #1) – A histogram presents the same information as the frequency distribution in one visual image and gives all the relevant details in an easy to understand format.
9. (Page 80 #16) –
1. (Page 11 #26) –
a. Yes
b. Yes, because there is about a 1 chance in 1000 of getting the types of success rates generated through the study.
c. Yes, because a 92% success rate is a much better result than a 72% success rate.
d. Yes, after the study has been conducted numerous times to have validity.
2. (Page 17 #30) – a. The sample are the 1012 randomly surveyed adults. b. The population is that of all adults. c. The sample is representative of the population.
3. (Page 24 #18) – One problem would be where to enter the data. Another problem would be the accuracy of the data since some students may not know their exact height.
4. (Page35 #8) – The given description corresponds to an experiment since some children were actually given Echinacea.
5. (Page 35 #18) – It is a stratified sampling since students were first grouped and then a sample was taken from each separate group.
6. (Page 60 #12) – Except for certain weights, most of the weights are about the same. Weights (lb) Discarded | Metal | Plastic | 0.00-0.99 | 5 | 14 | 1.00-1.99 | 26 | 20 | 2.00-2.99 | 15 | 21 | 3.00-3.99 | 12 | 4 | 4.00-4.99 | 4 | 2 | 5.00-5.99 | 0 | 1 |
7. (Page 61 #18) – The data can be used to determine which class occurred most often and whether or not those amounts of strontium-90 were hazardous to the population. Classes | Frequency | Relative | Frequencies | 110-119 | 2 | 4.5 | 2/40=.05=5% | 120-129 | 2 | 4.5 | 2/40=.05=5% | 130-139 | 5 | 12.5 | 5/40=.125=12.5% | 140-149 | 9 | 22.5 | 9/40=.225=22.5% | 150-159 | 13 | 32.5 | 13/40=.325=32.5% | 160-169 | 6 | 15 | 6/40=.15=15% | 170-179 | 2 | 5 | 2/40=.05=5% | 180-189 | 1 | 2.5 | 1/40=.025=2.5% |
8. (Page 67 #1) – A histogram presents the same information as the frequency distribution in one visual image and gives all the relevant details in an easy to understand format.
9. (Page 80 #16) –