Suppose that we have a data set with a mean (µ) of 5 and a standard deviation (σ) of 4.Using the empirical rule, estimate how likely it is that a sample statistic picked at random will be below 5.Group of answer choices50%68%95%99.7%

According to the empirical rule for normally distributed data, what percent of data would fall within two standard deviations of the mean?A13.5 %

Use the Empirical Rule to answer the question.In a normal distribution, what percent of the data lie in the following?(a)within 2 standard deviations of the mean %(b)more than 1 standard deviation above the mean %(c)between 1 standard deviation below the mean and 2 standard deviations above the mean

Based on the Empirical Rule, when the mean is 50, the median is _________,Group of answer choices50larger than 50Smaller than 50is one standard deviation from the mean

Use the Empirical Rule to establish an interval that includes about 95% of the observations.

A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $271,600.Assume that the standard deviation of the prices is $90,000. Complete parts (a)through(d)below. (c) If you select a random sample of n=100,what is the probability that the sample mean will be less than $300,000? The probability that the sample mean will be less than $300,000 is (Round to four decimal places as needed.)