Consider the following samples for the diameter of 18 rivet heads (in 1/100 of an inch) of one kind in a production line, labeled in order as rivet 1, rivet 2, and so on, as follows (in order): given...

Extracted text: Consider the following samples for the diameter of 18 rivet heads (in 1/100 of an inch) of one kind in a production line, labeled in order as rivet 1, rivet 2, and so on, as follows (in order): given a standard deviation of 6 and confidence level of 99%. 6.72 6.77 6.82 6.70 6.78 6.70 6.62 6.75 6.66 6.66 6.64 6.76 6.73 6.80 6.72 6.76 6.76 6.68 6.68 6.76 6.71 6.72 6.80 6.77 6.75 6.79 6.80 6.76 6.71 6.81 6.72 6.73 6.74 6.65 6.77 6.68 a. What is the mean diameter of the rivet head? b. What is the mode of the rivet's head diameter? c. What is the median of the rivets head diameter? d. what is the confidence interval of the rivet head in a normal distribution z-score? e. what is the z-value? f. What is the value of z if there is a total of 120 population of rivet heads?