According to Experian, the average credit score of and American adult is 661 and the standard deviation of all credit scores of American adults is 56. Determine the following probabilities. Round solutions to four decimal places, if necessary. Determine the probability that a randomly selected American adult has a credit score less than or equal to 751. P(x751)= Determine the probability that a randomly selected American adult has a credit score between 491 and 628. P(491

According to the Indian River Economic Development Council, the average household income in Indian River county is $48,825, with a standard deviation of $2,380. Determine the following probabilities. Round solutions to four decimal places, if necessary. Determine the probability that a randomly selected Indian River county household has an income greater than or equal to 56,878. P(x$56,878)= Determine the probability that a randomly selected Indian River county household has an income between 44,094 and 54,978. P($44,094

A population of values has a normal distribution with =103.8 and =6.9. You intend to draw a random sample of size n=53. Determine the mean and standard deviation of the sampling distribution of x. Round solutions to four decimal places, if necessary. What is the mean of the sampling distribution of x? x= What is the standard deviation of the sampling distribution of x? x=

For each statistic - parameter pair below, calculate the sampling error. Suppose a population has a mean of =140, and a random sample of size n=40 drawn from this population has a sample mean of x=126. Determine the sampling error of x. Suppose a population has a standard deviation of =59, and a random sample of size n=163 drawn from this population has a sample standard deviation of s=71. Determine the sampling error of s. Suppose 61% of a population possesses a given characteristic, and 71% of a random sample of size n=174 drawn from this population possesses the same characteristic. Determine the sampling error of p^.

Suppose a right-skewed distribution exists with a mean of 145 and standard deviation of 12. Consider a random sample of 129 observations. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of size 129 has a mean greater than 142. P(x>142)= Find the probability that a random sample of size 129 has a mean between 144 and 146. P(144

According to the American Time Use Survey, Americans age 15 and over spend an average of 2.95 hours each day watching television. The distribution of all such amounts of time spent watching television is normally distributed with a standard deviation of 0.91 hours. Use this information to determine the following two probabilities. Round solutions to four decimal places, if necessary. Find the probability that a single randomly American watches television less than 2.63 hours per day. P(x<2.63)= Find the probability that the mean time spend watching television per day of a random sample of 96 Americans is less than 2.63 hours. P(x<2.63)=

The distribution of the runtimes of all movies is known to be skewed to the left with a mean of 108 minutes and a standard deviation of 10.68 minutes. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 70 movies has a mean runtime less than 106.3 minutes. P(x<106.3)= Find the probability that a random sample of 70 movies has a mean runtime between 104.3 and 105.8 minutes. P(104.3

The average cost to rent a single-family home in Vero Beach is $1,992 per month. Assume that the distribution of the monthly rent of all single-family homes in Vero Beach is normally distributed with a standard deviation of $118. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 58 homes in Vero Beach has a mean rent less than $2,026. P(x<2026)= Find the probability that a random sample of 58 homes in Vero Beach has a mean rent between $1,959 and $1,962. P(1959

Suppose there exists a population where 66% of its members possess a certain characteristic. Let pp^ be the proportion of a random sample of 296 members that also possess that certain characteristic. Determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that the sample proportion is less than 0.62. P(p<0.62)= Find the probability that the sample proportion is between 0.58 and 0.72. P(0.58