Chapter 5 (20 points)
Consider a Kaspersky Lab survey of 2515 adult Internet users in the United States and Canada. Among those 2515 survey subjects, 46% said that they experienced at least one cybersecurity issue within the past five years. The cybersecurity issues include problems such as viruses, ransomware attacks, or malicious email. Here is a key question about this survey: Do the survey data support a claim that fewer than half (or fewer than 50%) of adult Internet users have experienced cybersecurity issues within the past five years? Clearly, 46% is less than 50%, but is 46% significantly less than 50%? Use the methods of this chapter to answer these questions:
- Among the 2515 survey subjects, what is the actual number of them who said that they experienced at least one cybersecurity issue within the past five years? Show how to find this amount. (4 points)
- Given the context of the Kaspersky Lab survey, is 46% significantly less than 50% in this case? Explain by using the Range Rule of Thumb for significantly low and/or significantly high values. (10 points)
- Based on the results from part b), what should be concluded about the claim that fewer than half (that is, fewer than 50%) of adult Internet users have experienced cybersecurity issues within the past five years? (6 points)
Chapter 6 (40 points; 10 points each)
Your company has a contract to perform preventive maintenance on thousands of air-conditioners in a large city. Based on service records from previous years, the time that a technician spends servicing a unit averages one hour with a standard deviation of one hour. In the coming week, your company will service a simple random sample of 70 units in the city. You plan to budget an average of 1.1 hours per technician to complete the work. Will this be enough time?
- Find the probability that it will take a technician at most 1.1 hours to service a randomly selected unit.
- Find the probability that the mean amount of time to service 70 units is at most 1.1 hours.
- What does your result from part b) suggest about your company budgeting 1.1 hours per technician to complete the work on one unit?
- Using the Range Rule of Thumb for significantly high values to determine the amount of time to budget for a technician to complete the work, determine the amount of time
Chapter 7 (40 points; 10 points each)
Surveys have become an integral part of our lives. Because it is so important that every citizen has the ability to interpret survey results, surveys are the focus of this project. Use the following.
A Gallup poll of 3297 U.S. adults showed that 54% of the respondents said it is unlikely that they would use a self-driving car.
- Use the survey results to construct a 95% confidence interval estimate of the percentage of all U.S. adults who say they are unlikely to use self-driving cars.
- Find the margin of error for this survey. How does it compare to this statement from Gallup: For results based on the total sample of 3297 U.S. adults, the margin of sampling error is percentage points at the 95% confidence level.?
- Explain why or why not an online news website would be justified in publishing this claim: Most U.S. adults say they are unlikely to use self-driving cars.
- A common criticism of surveys is that they poll only a very small percentage of the population and therefore cannot be accurate. Given that a sample of size 3297 from a population of 256,338,241 adults is a sample that is only 0.001% of the population, is that sample size too small? Write a brief explanation of why the sample size of 3297 is or is not too small.
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