Marcio works in a company that encourages safe work practices by offering rewards. Fifteen employees qualified this month and three will be selected to receive free tickets to a soccer game. The fifteen employees are composed of ten men and five women. All their names are placed in a sack. Three names will be drawn. Which statements are true about this sample of three names? Select all that apply.  Men WomenIn Bag 10 names 5 names A simple random sample could consist of three women's names.The sample would have two men and one woman since there are twice as many men as women who qualify the reward.A simple random sample could consist of three men's names.This is an example of a simple random sample.This is an example of a convenience sample.NEXT QUESTION

Directions: Identify which type of sampling is used: random, stratified, cluster,systematic or convenience. Write the answer on the space before each number.__________ 1. An interviewer selects 5 males and 5 females from each of 4 thegroups.__________ 2. A psychologist surveys all students from each of 20 randomly selectedclasses.__________ 3. The organizer writes the name of each participant on a separatesheet. He shuffles the sheets, and draws 10 names.__________ 4. Smart selects 50th cell phone from the assembly line and conduct athorough test of quality.__________ 5. When a principal made an important announcement, he basedconclusion on 1 000 responses from 10 000 questionnairesdistributed to students.

(a)A manager at a bus company wants to survey employees about the new uniforms. Which of the following best describes a random sample of employees?The manager asks for volunteers and selects every volunteer until 60 employees are selected. She selects the volunteers because these employees are easily accessible.The manager forms groups of 12 employees based on the departments the employees are in. Then, she selects all of the employees in 5 randomly chosen groups.The manager uses a computer program to draw 60 employees at random and selects these employees. Every set of 60 employees is equally likely to be drawn by the computer program.(b)A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?The consultant forms groups of 8 workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses 9 groups and selects all of the workers in these groups.The consultant assigns each worker a different number. Using a random number table, he draws 72 of those numbers at random. Then, the consultant selects the workers assigned to the drawn numbers. Every set of 72 workers is equally likely to be drawn using the random number table.The consultant forms 6 groups of workers based on the workers' shifts. Then, he selects 12 workers at random from each group.(c)A city manager wants to poll residents about a park renovation. Which of the following best describes a convenience sample of residents?The city manager takes a list of the residents and selects every 5th resident until 90 residents are selected.The first 90 residents who walk into city hall one day are easily accessible. So, the city manager selects these residents.The city manager forms 5 groups of residents based on the residents' incomes. Then, she selects 18 residents at random from each group.

For the following, identify which type of sampling technique was used.A company has 800 female employees and 200 male employees. You want to ensure that the sample reflects the gender balance of the company, so you use random sampling on each gender group, selecting 80 women and 20 men.

A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 215 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below.ShirtJacketMale54 69Female79 13Suppose an employee of the company is chosen at random.Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth.(If necessary, consult a list of formulas.)(a)What is the probability that the employee prefers a jacket?(b)What is the probability that the employee is male or prefers a jacket?

In a company's employee list, there are 10 male employees and 8 female employees. The company plans to select a group of these employees, including 3 male employees and 2 female employees, to attend an important business meeting. How many different selection methods are there?