The Bureau of Labor Statistics provides compensation information on and services for various positions. As of May 2012, the average salary for a budget analyst in a midwestern state was $72,560. Suppose the standard deviation is $9,800. A study gathered salary information on a randomly-selected sample of 100 budget analysts. a. Find the probability that the mean of the sample is between $71,000 and $74,500. b. Find the probability that the mean of the sample is greater than $75,000.

The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?

Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 1212 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $42,000$⁢42,000 with a standard deviation of $9800$⁢9800. Fifteen people with doctoral degrees in education were found to have a mean annual salary of $50,000$⁢50,000 with a standard deviation of $9200$⁢9200. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.

In Pittsburgh, PA, about 56% of the days are cloudy. June, which has 30 days, is to be considered. A. Find the mean number of cloudy days, reporting to 1 decimal place. B. Find the standard deviation, reporting to 1 decimal place. C. Determine the minimum number of cloudy days (as a whole number) that would be considered usual for June. D. Determine the maximum number of cloudy days (as a whole number) that would be considered usual for June.

Suppose you estimate that approximately 8% of students on campus smoke. You decide to do a study about smoking and you randomly recruit 250 students to participate. a . Estimate the mean and st. deviation for this binomial situation. b. Would you be surprised if your sample contained 26 smokers? Why or why not? c. Would you be surprised if your sample contained 16 smokers? Why or why not? d. Would you be surprised if your sample contained 33 smokers? Why or why not?

A. What's the standard deviation for data set 1. B. What's the standard deviation for data set 2. C. What's the standard deviation for data set 3.

The governor of a state wanted to assess the public education system of the state. She instructed a group of researchers to create a test to assess the knowledge of every high school senior in the state. The researchers administered the tests and found that the average score was 74 points out of 100, with a standard deviation of 20 points. Complete parts (a) through (c) below. a. Identify the population and variable. Choose the correct population below. A. The population is the group of all high school seniors in the state. O B. The population is the group of every state's governor. O C. The population is the group of all high school teachers in the state. O D. The population is the group of all high school students in the state. Choose the correct variable below. O A. The variable is the number of high school seniors. O B. The variable is the test length. YC. The variable is the test score. O D. The variable is the number of high school students. b. For samples of size 225, find the…

A large corporation employs 21,995 individuals. The average income of all employees is $64,372, with a standard deviation of $18,985 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 180 randomly selected employees. What is the population standard deviation?

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $47,000 and a standard deviation of $4,600. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)a. Find the 90th percentile for an individual teacher's salary b. Find the 90th percentile for the average teacher's salary.

You are applying for a job at two companies. Company A offers starting salaries with u = $33,000 and o = $1,000. Company B offers starting salaries with u = $33,000 and o = $3,000. From which company are you more likely to get an offer of $35,000 or more? Choose the correct answer below. O A. Company A, because data values that lie more than two standard deviations from the mean are considered unusual. O B. No difference, because data values that lie more than three standard deviations from the mean are considered very unusual. O C. Company B, because data values that lie within one standard deviation from the mean are not considered unusual.