The average new car price is $36000 with a standard deviation of $1250. Consider a random sample  of 975 new cars. Use Chebyshev’s Rule to address the following:  1- At least how many new car prices lie between $32250 and $39750? 2- At least how many new car prices lie between $31000 and $41000?

5. According to a National Business Travel Association survey, the average salary of a travel management professional is $97,500. Assume that the standard deviation of such salaries is $30,000. Consider a random sample of 100 travel management professionals and let X represent the mean salary for the sample. What is the minimum amount of the top 5% of the mean salary X? ****** EM 1675

The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9. The standard deviation was found to be 13.1. The student enrollment at the University of Manitoba in 2016 was 29,987. The minimum IQ to be able to graduate from the University of Winnipeg has been found to be 104. Of the 29,987 students at the University of Manitoba in 2016, how many would be expected to be smart enough to graduate from the University of Winnipeg? Assume a Gaussian distribution.

A recent report indicates that 2-year-old children from the well-educated suburban families watched an average of m=60 minutes of television each day. Assuming that the distribution of television-watching times is normal with a standard deviation of 25 minutes, find each of the following proportions. a. What proportion of 2- year-old children watch more than two hours of television each day? b. what proportion of 2-year-old children watch less than 30 minutes a day?

A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.

2. The population standard deviation for the age of Fictional College students is 8.4 years. If we want to be 95% confident that the sample mean age is within one year of the true population mean age of Fictional College students, how many randomly selected Fictional College students must be surveyed?

Suppose that the number of Facebook friends users have is normally distributed with a mean of 149 and a standard deviation of about 41. Assume fifteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a.  What is the distribution of x̄? x̄ - N  -----------, ---------- b.  For the group of 15, find the probability that the average number of friends is less than 156. ------------- c.  Find the first quartile for the average number of Facebook friends. Round to 2 decimals places. --------------- d.  For part b), is the assumption that the distribution is normal necessary?  ------------No, --------- yes

From a sample with n = 12, the mean number of televisions per household is 2 with a standard deviation of 1 television. Using Chebychev's Theorem, determine at least how many of the households have between 0 and 4 televisions. At least of the households have between 0 and 4 televisions. (Simplify your answer.)