Claire works at Red Robin every weekend serving about 30 tables. It is estimated that the average tip amount she gets per table follows a normal distribution with an average of S8.25 and a standard deviation of $1.50 a) b) c) Draw a normal curve that describes her tip amount on average. What is the probability that the average tip amount is between $ 5.25 and $11.25? On average, how much does she make per table during her best 10% of weekends? What is the probability that she cams a total of $250 for 30 tables? [ Hint multiply the mean and standard deviation by 30 and then find the z-score]?

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above