Please use random samples.

Central Limit Theorem Lab Objective: To explore the distribution of sample means. Procedure: In a standard deck of 52 cards, assume each jack, queen, and king takes on numerical values of 11, 12, and 13, respectively. Use your calculator to do the following computations: 400120 a. Compute the mean for the entire set of 52 cards. "Why can't doge play poker?" (Anawer on the back) b. Compute the standard deviation for the entire set of 52 cards. = 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. d. With a partner take the deck, shuffle 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 (#) from step d. and histogram below. Make sure to use x-min = 2.9 or x-min =1.4 and x-scl=1.5, so your histogram fits within the below grid. The. 29 44 5.9 74 5.9 10.4 11.9 How do the two means in steps a and . compare? - How do the two standard deviations from part b and . compare? Can you establish a ratio as to how they compare to each other? Describe the shape of the histogram from part e. How does it compare with the first one? If you were dealing hands with more than 4 cards (maybe 9), how would you think that would change the following a. The shape of the histogram of the "" b. The standard deviation of the 's: Answer to the dog question in the previous page: They can't help but wag their tails when they get a good hand