Statistic

Central Limit Theorem Lab Objective: To explore the distribution of sample means. Procedure: In a standard deck 0 52 cards, assume each jack, queen, and king takes on numerical values of l 1, l2, and 13, respectively. Use your calculator to do the following computations: a. Compute the mean for the entire set of 52 cards. ll: \"Why can't dogs play poker?" (Answer on The back.) b. Compute the standard deviation for the entire set of 52 cards. 0' = a. Construct a histogram for the entire set of 52 cards manually. Put the card face values on the x-axis, and frequencies on the y-axis. (:1. With a partner take the deck, shufe and deal-out a hand with four cards. Average those four cards and list the averages in the table below. Do this a total of 40 times. e. Repeat steps a, b, and c using your sample means (3?) from step d. f = ,crf= , and histogram below. Make sure to use X-min = 2.9 or x-min =1 .4 and X-SCl=l .5, so your histogram ts within the below grid. Thx. - How do the two means in steps a and e compare? - How do the two standard deviations from part b and e compare? Can you establish a ratio as to how they compare to each other? - Describe the shape of the histogram from part c. How does it compare with the rst one? - If you were dealing hands with more than 4 cards (maybe 9), how would you think that would change the following: 9 a. The shape of the histogram of the _ s: b. The standard deviation of the 33's: Answer To The dog quesTion in The previous page: They can'T help buT wag Their Tails when They geT a good hand