The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A 3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Maple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 Which county would offer the LARGEST sign-on bonus to an officer with 4 years of experience?

Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 63% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is. (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the…

Suppose a math class contains 40 students. There are 18 females (two of whom speak Spanish) and 22 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. What percent of Spanish speaking students are male? Give answer as a decimal.

show step by step and answer all questions The 102 highway has a posted speed limit of 70 miles per hour on the stretch from San Francisco to Bay Area. For a single week, the highway patrol set up a hidden radar gun to measure how many cars break the speed limit after having numerous reports of accidents on this stretch of highway. The highway patrol needs to put together an action plan if the annual proportion of vehicles who break the speed limit is over 9%. However, they could only set up the radar gun for one week. Question-The sampling method used for this situation would most likely be considered 'convenience sampling.' Find a potential fault, bais, or hidden variable in the way this sample was conducted that might skew the results. -What is the sample size,What is the proportion of vehicles who broke the speed limit over this 1 week period from Bay Area to San Francisco? -Construct a 90% confidence interval for the proportion of vehicles who break the speed limit annually. -Is…

If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT defective?

In 2016 the Better Business Bureau settled 84% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.84, the same as the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(p) (to 2 decimals) (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals)? probability : = c. Suppose you select a sample of 460 complaints involving new car dealers. Show the sampling distribution of p. E(F) (to 2…

Q3. Please answer fill-ins.

The median annual income for someone who has an Associates Degree is $31,936. The median annual income for someone with a high school degree is $26,123. Based on the median income, how much more would someone with an associate's degree earn than someone with a high school degree over 40 years?

If a coin is flipped 225 times and the number of Hs is 75. Compute the proportion of Hs. Round to three places.

You want to determine how many loaves of Bread are sold per day at Schat’s Bakery. You stand outside for ten different randomly selected days, count the number of loaves, and then average them. You come up with 421 loaves per day. In reality, Schat’s keeps records of how many loaves they sell per day, and in they averaged 395 loaves per day. Describe what the population is in the above example?