The mean starting salary for nurses is 67,694 dollars nationally. The standard deviation is approximately 10,333 dollars. The starting salary is not normally distributed. A sample of 33 starting salaries for nurses is taken. It is possible with rounding for a probability to be 0.0000. a) Identify the individual, variable, type of variable and the random variable X in the context of this problem. The individual is Select an answer v Select an answer The variable 1M0 33 randomly selected nurses Select an answer the starting salary a randomly selected nurse This variable is a all nurses the mean starting salary of all nurses The random variathe mean starting salary of 33 randomly selected nurses The variable information collected from each individual is Select an answer v the mean starting salary of 33 randomly selected nurses e. a randomly selected nurse 33 randomly selected nurses the mean starting salary of all nurses all nurses the starting salary I_\\ I _'_1_ LI__ __.._.__ _._u_l_ LI__ __..___ -1. __..__L _I_ This variable is a Select an answer v variable. Select an answer The random varia quantitative continuous qualitative -- discrete Select an answer qualitative The random variable X is as follows: Select an answer l N X = starting salary is normally distributed N X = all nurses [N X = a randomly selected nurse W X = the mean starting salary of 33 randomly selected nurses [N X = the mean starting salary of all nurses N X = the starting salary of a randomly selected nurse [Ti 1-. b) List the givens with the correct symbols. = 67694 dollars p = 10333 dollars x [o |=33 c) IX ify the random variable )7 in the cont: [ n ct an answer b) List the givens with the correct symbols. = 67694 dollars = 10333 dollars p =33 S c) IX ify the random variable X in the cor I n ct an answer p d) W the mean of the sampling dlStFibUtiOi o b) List the givens with the correct symbols. = 67694 dollars = 10333 dollars -=33 c) IX ify the random variable .7 in the con' N [n ct an answer 5 d) IN the mean of the sampling distribution 0 IX he numeric value in the first box and p r c) Identify the random variable X in the context of this problem. d) N X = a randomly selected nurse an. N X = the starting salary of a randomly selected nurse l N X = the starting salary of 33 randomly selected nurses n the N X = starting salary is normally distributed rv X = the mean starting salary of all nurses N X = the mean starting salary of 33 randomly selected nurses d) Find the mean of the sampling distribution of the sample mean. Put the numeric value in the first box and the correct units in the second box. e) Find the standard deviation of the sampling distribution of the sample mean. Put the numeric value rounded to one decimal place in the first box and the correct units in the second box. f) What is the shape of the sampling distribution of the sample mean? Select an answer v Select an answer unknown left-skewed uniform normal or approximately normal rig htskewed Why? Check all that apply: D population is not normal [3 a is unknown Cl 0 is known [3 n is at least 30 D n is less than 30 [3 population is normal g) Find the probability that the sample mean starting salary of the 33 randomly selected nurses is less than 64813.8 dollars. Round final answer to 3 decimal places. : h) Find the probability that the sample mean starting salary of the 33 randomly selected nurses is more than 72993.79 dollars. Round final answer to 3 decimal places. S i) Is a mean starting salary of 72993.79 dollars unusually high for 33 randomly selected nurses? Select an answer v Select an answer .Yes, the probability of having a sample mean starting salary of at least 72993.79 dollars is less than or equal to 0.05 'Yes, the probability of having a sample mean starting salary of at least 72993.79 dollars is more than 0.05 Yes, the probability of having a sample mean starting salary of at most 72993.79 dollars is less than or equal to 0.05 Yes, the probability of having a sample mean starting salary of at most 72993.79 dollars is more than 0.05 No, the probability of having a sample mean starting salary of at least 72993.79 dollars is less than or equal to 0.05 No, the probability of having a sample mean starting salary of at least 72993.79 dollars is more than 0.05 I No, the probability of having a sample mean starting salary of at most 72993.79 dollars is less than or equal to 0.05 No, the probability of having a sample mean starting salary of at most 72993.79 dollars is more than 0.05 j) If you found a mean starting salary for a sample of 33 nurses as high as 72993.79 dollars, what might you conclude? Select an answer v Select an answer There is evidence that the mean starting salary of all nurses may now be lower than 67694 dollars Qui There is evidence that the mean starting salary of all nurses may now be higher than 67694 dollars There is no evidence that the mean starting salary of all nurses has changed from 67694 dollars