Quantitative Reasoning Assessment 4. Businesses today regularly deal with malicious emails (also known as phishing attacks). Last year, data from an Internet Security Threat Report indicated that 0.2% of all email attachments contained a virus, often ransomware infections in a fake invoice attachment. Assume that a company receives an average of 700 email attachments per day. How many infected email-attachments would it expect to receive in a 365-day year? Type only the nearest whole number. Do not provide units.
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- A sample of people attending a professional football game averages 13.7 years of formal education. The surrounding community is estimated to have a mean education of 12.1 years. Which test should be used to see if this sample of game attendees is different from the larger population of residents?A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores.A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the hybrid inverter assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise in fixing gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample means repair cost was $3,750 with the sample standard deviation of $600. Find the test statistic for this hypothesis test. tStat=____ Is there sufficient evidence to reject the null hypothesis using α=0.05? A. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean cost is greater than $3,927. B. Do not reject the null hypothesis. There is…
- A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the hybrid inverter assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was $3,750 with the sample standard deviation of $600. Determine the p-value and interpret its meaning.A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repair, replacing the hybrid inverter assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly repairs completed in the last month was selected. The sample mean repair cost was $3,750 with the sample standard deviation of $600. Is there sufficient evidence to reject the null hypothesis using α=0.10? Choose one of the following. -Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean cost is less than $3,927. - Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the…After reading an article using research done by the Organization for Economic Co-operation and Development (OECD) based in France, a statistics student decided to conduct his own study to see if the figures in the article were accurate. This article stated that 37% of email users said spam has increased in their personal email accounts and 29% said it has increased in their work email accounts. To test the first figure, let p be the proportion of email users who feel that spam has increased in their personal email. The first set of hypotheses that the student wants to test is then: Ho: p = 0.37 Ha: p ≠ 0.37 Based upon the data collected by this student, a 95% confidence interval for p was found to be: (0.25, 0.32). At the 0.05 level of significance, which conclusion can be made? a. The student cannot reject Ho, since 0.37 does not fall within the limits of the interval. b. The student can reject Ho, since 0.37 falls within the limits of the interval.…
- A group of students conducted a study to determine whether women will have higher levels of low self-esteem than men.A Chinese cell-phone manufacturer exclusively uses robots in one of its factories. A random test run results in 23 defective assemblies out of 500. Does this data suggest that the true percentage of defectives is less than 5%? Use NATDRC.A psychologist believes that the age of an adolescent will have an impact on the number of phone calls made to the opposite sex (in heterosexual people) over the course of one month. They also suspect that gender of the adolescent will have an impact on the number of phone calls made to the opposite sex. Using the hypothetical data provided below, run your analyses in R to test whether age and gender impacts the number of phone calls an adolescent makes. Gender (Binary) Girl Boy Age Young Adolescents (11-14) 7, 2, 3, 5, 3 1, 2, 3, 2, 1 Older Adolescents (15-18) 15, 26, 19, 21, 18 10, 8, 5, 16, 9 ( What kind of statistical analysis do you need to use and why? State the null and alternative hypotheses. Check your assumptions. Include screenshots of your R output and explain why each of them are or are not met. Using R, run your analysis and include a screenshot. Using R, run post-hoc tests and include a screenshot. What do you…
- A psychologist believes that the age of an adolescent will have an impact on the number of phone calls made to the opposite sex (in heterosexual people) over the course of one month. They also suspect that gender of the adolescent will have an impact on the number of phone calls made to the opposite sex. Using the hypothetical data provided below, run your analyses in R to test whether age and gender impacts the number of phone calls an adolescent makes. Gender (Binary) Girl Boy Age Young Adolescents (11-14) 7, 2, 3, 5, 3 1, 2, 3, 2, 1 Older Adolescents (15-18) 15, 26, 19, 21, 18 10, 8, 5, 16, 9 1. Using R, run your analysis and include a screenshot. 2. Using R, run post-hoc tests and include a screenshot. 3. What do you conclude about the null hypothesis? 4. Create a plot of your interaction and include a screenshot. Explain what the plot is showing you about the p-values you calculated in your post-hoc test. 5. Explain what your…A psychologist believes that the age of an adolescent will have an impact on the number of phone calls made to the opposite sex (in heterosexual people) over the course of one month. They also suspect that gender of the adolescent will have an impact on the number of phone calls made to the opposite sex. Using the hypothetical data provided below, run your analyses in R to test whether age and gender impacts the number of phone calls an adolescent makes. Gender (Binary) Girl Boy Age Young Adolescents (11-14) 7, 2, 3, 5, 3 1, 2, 3, 2, 1 Older Adolescents (15-18) 15, 26, 19, 21, 18 10, 8, 5, 16, 9 4. Create a plot of your interaction and include a screenshot. Explain what the plot is showing you about the p-values you calculated in your post-hoc test. 5. Explain what your p-values are telling you regarding the amount of phone calls made in adolescents based on age and gender.According to the World Health Organization, obesity has reached epidemic proportions globally. While obesity has generally been linked with chronic disease and disability, researchers argue that it may also affect wages. In other words, the body mass index (BMI) of an employee is a predictor for salary. (A person is considered overweight if his/her BMI is at least 25 and obese if BMI exceeds 30.) The accompanying data file includes salary (in $1,000s) for 30 college-educated men with their respective BMI and a dummy variable that represents 1 for a white man and 0 otherwise. Salary BMI White 34 33 1 43 26 1 44 26 1 34 35 0 34 36 1 53 20 1 42 20 0 37 26 1 35 28 1 46 22 1 46 20 1 34 35 0 45 26 1 33 34 0 25 29 0 32 30 1 46 18 0 31 31 0 54 19 1 37 23 0 42 27 1 38 30 1 45 18 0 38 26 0 41 28 1 39 28 1 50 20 1 41 26 1 38 28 1 45 21 1 1. Estimate a model for Salary with BMI and White as the predictor variables. Note: Negative…