Given a standard normal distribution, determine the following probability. Round the solution to four decimal places, if necessary.

P(0.68 < z < 7.75) =

2- According to Experian, the average credit score of and American adult is 711 and the standard deviation of all credit scores of American adults is 65. 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 greater than or equal to 903.

P(x > 903)

3- Let x be a normally distributed continuous random variable with a mean of 268 and a standard deviation of 30. Determine the value of x such that the area to the right of x is 0.7852. Round the solution to two decimal places, if necessary.

x =----

4- Consider a population of size N = 5,900 with a mean of 171 and standard deviation is 23. Compute the following z-values for either the population distribution or the sampling distributions of x with a given sample size. Round solutions to two decimal places, if necessary.

Suppose a random single observations is selected from the population. Calculate the z-value that corresponds to x = 171

z = --

Suppose a random single observations is selected from the population. Calculate the z-value that corresponds to x = 174

z = ---

Suppose a random sample of 102 observations is selected from the population. Calculate the z-value that corresponds to sampling distribution = 177

z = ---

Suppose a random sample of 73 observations selected from the population. Calculate the z-value that corresponds to a sampling distribution 176

z = ---

5- For each statistic - parameter pair below, calculate the sampling error.

Suppose a population has a mean = 149, and a random sample of size n = 31 drawn from this population has a sample mean of sampling distribution of 128. determine the sampling error of sampling distribution x

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Suppose a population has a standard deviation of 62, and a random sample of size n = 91 drawn from this population has a sample standard deviation of 71. Determine the sampling error of s.

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Suppose 64% of a population possesses a given characteristic, and 62% of a random sample of size n = 153 drawn from this population possesses the same characteristic. Determine the sampling error of p^.

= ---