For Questions # 8, # 9, and # 10 )( as an example reference, please refer to Practice example # 22 , # 25, and # 27 on pp. 428-429 of our OpenStax course text )

An unknown distribution has a mean 32.4 and a standard deviation of 6.81. A sample size of 49 is taken. Let X= the object of interest.

1. What is the mean of X ?

1. What is P( x > 1,650 ) ?

1. With regard to the sample size, n, what must be true inorder for the sums of a distribution to approach that of a normal distribution ?

Extra Credit: ( as an example reference, please refer to Practice example # 41 and # 45 on pp. 429 of our OpenStax course text )

A manufacturer produces 5-pound lifting weights for occupational therapists. The lowest actual weight is 4.8 pounds, and the highest is 5.2 pounds. Each weight is equally likely so the distribution of weights isuniform, therefore be sure to first determine the SD by using the