a. Use a computer to draw 200 random samples, each of size 10, from the normal probability

Question:

a. Use a computer to draw 200 random samples, each of size 10, from the normal probability distribution with mean 100 and standard deviation 20.

b. Find the mean for each sample.

c. Construct a frequency histogram of the 200 sample means.

d. Describe the sampling distribution shown in the histogram in part c.
MINITAB (Release 14)

a. Use the Normal RANDOM DATA commands on page 101, replacing generate with 200, store in with C1–C10, mean with 100, and standard deviation with 20.

b. Choose: Calc  Row Statistics Select: Mean Enter: Input variables: C1–C10 Store result in: C11  OK

c. Use the HISTOGRAM commands on page 61 for the data in C11. To adjust the histogram, select Binning with midpoint and midpoint positions 74.8:125.2/6.3.
Excel

a. Use the Normal RANDOM NUMBER GENERATION commands on page 101, replacing number of variables with 10, number of random numbers with 200, mean with 100, and standard deviation with 20.

b. Activate cell K1.
Choose: Insert function, fx  Statistical 
AVERAGE  OK Enter: Number1: (A1:J1 or select cells)
Drag: Bottom right corner of average value box down to give other averages

c. Use the RANDOM NUMBER GENERATION Patterned Distribution commands in Exercise 6.66 on page 336, replacing the first value with 74.8, the last value with 125.2, the steps with 6.3, and the output range with L1. Use the HISTOGRAM commands on pages 61–62 with column K as the input range and column L as the bin range.

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