A report announced that the median sales price of new houses sold one year was $231,000​,and the mean sales price was ​$273,700.Assume that the standard deviation of the prices is ​$80,000.   If you select a random sample of n=100​, what is the pro

The proportion of adult women in a certain geographical region is approximately 51%. A marketing survey telephones 200 people at random.     What proportion of the sample of 200 would you expect to be women?   What would the standard deviation of the sampling distribution be?  How many women, on average,  would you expect to find in a sample of that size?

The standard deviation for actuary salaries is o = $38,590. You collect a simple random sample of n = 147 salaries and find that = $123,239. What is the point estimate for the true mean actuary salary? (Round your answer to the nearest whole dollar.)

Airline Fares. The mean airfare for flights departing from Buffalo Niagara International Airport during the first three months of 2017 was $320.51. Assume the standard deviation for this population of fares is known to be $80. Suppose a random sample of 60 flights departing from Buffalo Niagara International Airport during the first three months of 2018 is taken. If the mean and standard deviation of the population of airfares for flights departing from Buffalo Niagara International Airport didn’t changed between the first three months of 2017 and the first three months of 2018, what is the probability the sample mean will be within $20 of the population mean cost per flight? What is the probability the sample mean will be within $10 of the population mean cost per flight?

The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?

Karl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is Skewness = 3 (mean-median)/standard deviation. The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness. Compute the coefficient of skewness for the data in Problem 25 Problem 25 data: The following data (see photo) represent the weights (in grams) of random sample of 50 M&M plain candies.

a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?

The household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?

One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.81 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeded $1.7 million. Round your answer to nearest ten-thousandth.

PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.