In a study, a large sample was used to estimate the mean systolic blood pressures in a population, and was found to follow a normal distribution (bell-shaped curve). In this study, the systolic blood pressure for men and women grouped together had a mean of 120.1 mmHg with a standard deviation of 15.1 mmHg. Using the empirical rule, what percentage of the population would you estimate to be between 150.3 and 165.4 mmHg? Give your answer as a percentage rounded to one decimal place and don't include units (don't write mmHg or a percent sign). 2. In the same blood pressure study described previously, the systolic blood pressure for men and women grouped together had a mean of 120.1 mmHg with a standard deviation of 15.1 mmHg. Using the empirical rule, what percentage of the population would you estimate to be between 105.0 and 150.3 mmHg? Give your answer as a percentage rounded to one decimal place and don't include units (don't write mmHg or a percent sign). 3. Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 101.3 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place. 4. For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations below. 5. Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is between the values of 122.5 mmHg and 126.5 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place. 6. use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure which has a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg. If you picked a member of the population at random, would it be more likely that you randomly select someone that: Has a blood pressure between 104 mmHg and 114 mmHg, or Has a blood pressure between 124 mmHg and 134 mmHg? Show any values calculated and explain your reasoning in the space provided below. 7. Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf to answer the following question: This question again refers to the study on blood pressure. What blood pressure value represents the 90th percentile? That is, what is the blood pressure value that would have 90% of the population beneath that value? The data is normally distributed with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer rounded off to 1 decimal place.
1. In a study, a large sample was used to estimate the mean systolic blood pressures in a population, and was found to follow a normal distribution (bell-shaped curve). In this study, the systolic blood pressure for men and women grouped together had a mean of 120.1 mmHg with a standard deviation of 15.1 mmHg.
Using the empirical rule, what percentage of the population would you estimate to be between 150.3 and 165.4 mmHg? Give your answer as a percentage rounded to one decimal place and don't include units (don't write mmHg or a percent sign).
2. In the same blood pressure study described previously, the systolic blood pressure for men and women grouped together had a mean of 120.1 mmHg with a standard deviation of 15.1 mmHg.
Using the empirical rule, what percentage of the population would you estimate to be between 105.0 and 150.3 mmHg? Give your answer as a percentage rounded to one decimal place and don't include units (don't write mmHg or a percent sign).
3. Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question:
This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 101.3 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place.
4. For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations below.
5. Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question:
This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is between the values of 122.5 mmHg and 126.5 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place.
6. use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question:
This question again refers to the study on blood pressure which has a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg. If you picked a member of the population at random, would it be more likely that you randomly select someone that:
- Has a blood pressure between 104 mmHg and 114 mmHg,
or - Has a blood pressure between 124 mmHg and 134 mmHg?
Show any values calculated and explain your reasoning in the space provided below.
7. Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf to answer the following question:
This question again refers to the study on blood pressure. What blood pressure value represents the 90th percentile? That is, what is the blood pressure value that would have 90% of the population beneath that value? The data is
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