Since \( \mu = 75 \) and \( \sigma = 8 \) we have:  \( P ( X > 75 ) = P ( X - \mu > 75 - 75 ) = P ( \frac { X - \mu } { \sigma } > \frac { 75 - 75 } { 8 } ) \) Since \( Z = \frac { x - \mu } { \sigma } \) and \( \frac { 75 - 75 } { 8 } = 0 \) we have: \( P ( X > 75 ) = P ( Z > 0 ) \) Step 3: Use the standard normal table to conclude that: \( P ( Z > 0 ) = 0.5\) Note: Visit the Z - score calculator for a step by step explanation on how to use the standard normal table. Since \( \mu = 75 \) and \( \sigma = 8 \) we have: \( P ( X > 91 ) = P ( X - \mu > 91 - 75 ) = P ( \frac { X - \mu } { \sigma } > \frac { 91 - 75 } { 8 } ) \) Since \( Z = \frac { x - \mu } { \sigma } \) and \( \frac { 91 - 75 } { 8 } = 2 \) we have: \( P ( X > 91 ) = P ( Z > 2 ) \) Step 3: Use the standard normal table to conclude that: \( P ( Z > 2 ) = 0.0228\) 

Question 9 A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 was selected, and from the sample, the point estimate of the mean is 33.4, and the variance is 823.69, find the \( 90 \% \) confidence interval of the mean population. (write the lower limit for the confidence interval). Add your answer Integer, decimal, or E notation allowed

Question 3 The final exam scores in a statistics class are normally distributed with a mean of 63 and a standard deviation of 5. Find the probability that a randomly selected student scored less than 75. Add your answer Integer, decimal, or E notation allowed

Question 16 The following is a set of data from a sample. \[ 11, \quad-2, \quad-6, \quad 11, \quad 13 \] What is the minimum: Add your answer Integer, decimal, or E notation allowed

Question 9 A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 was selected, and from the sample, the point estimate of the mean is 33.4, and the variance is 823.69, find the \( 90 \% \) confidence interval of the mean population. (write the lower limit for the confidence interval). Add your answer Integer, decimal, or E notation allowed

Question 4 The final exam scores in a statistics class are normally distributed with a mean of 63 and a standard deviation of 5. \( 90 \% \) of the students scored less than what value? Add your answer Integer, decimal, or E notation allowed