According to a recent survey, the salaries of entry-level positions at a large company have a mean of $41,750 and a standard deviation of $8000. Assuming that the salaries of these entry-level positions are normally distributed, find the proportion of employees in entry-level positions at the company who earn more than $50,000. Round your answer to at least four decimal places.

You want to know the percentage of utility companies that earned revenue greater than 94 million dollars. If the mean revenue was 60 million dollars and the data has a standard deviation of 15 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Explain the statistics measure standard deviation. Provide the formulas used to calculate the standard deviation of a sample and of a population.  Explain the difference between sample and population.

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

Suppose you have already calculated the mean, the average deviation, and the standard deviation of the weights in pounds of 20 third-graders.  a. if these weights were converted to kilograms and the mean and the average deviation were once again calculated, would the second average deviation be (numerically) less than, greater than, or equal to the first average deviation? Explain your answer. b. If the standard deviation of these weights were calculated in kilograms, would it be (numerically) less than, greater than, or equal to the first standard deviation? Explain your answer

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Show your work and explain your answer.

I was wondering if these answers are correct. Explain.  A study by Quadrant Information Services commissioned by Insure.com  calculated auto insurance rates for each of the 50 states; and as a result, the average annual rate for the United States was $1,317. Suppose annual rates of auto insurance in the United States are normally distributed with a standard  deviation of $324. According to MoneyGeek, a state minimum auto insurance policy in Florida costs an average of $1123 per year and the average cost of full coverage car insurance in Florida is $2208. What percentage of policies cost less than the Florida state minimum policy of $1123? z = (x - mu) / sigma z = (1123-1317)/324 z= -0.59876543 P-value from Z-Table: P(x<1123) = 0.27466 The answer is less than I expected. After using a z-table to determine the score it results in 27% of policies that are less than the minimum policy of 1123.   What percentage of auto insurance rates would be less than $1,200? z = (x - mu) / sigma…

a quantitative data set has mean 25 and standard deviation 5. what percentage of the observations lie between 15 and 35