a. Use a computer to randomly select 100 samples of size 6 from a normal population with mean   20 and standard deviation

  4.5.

b. Find mean x for each of the 100 samples.

c. Using the 100 sample means, construct a histogram, find mean x, and find the standard deviation sx.

d. Compare the results of part c with the three statements made in the SDSM.

MINITAB (Release 14)

a. Use the Normal RANDOM DATA commands on page 101, replacing generate with 100, store in with C1–C6, mean with 20, and standard deviation with 4.5.

b. Use the ROW STATISTICS commands on page 368, replacing input variables with C1–C6 and store result in with C7.

c. Use the HISTOGRAM commands on page 61 for the data in C7. To adjust the histogram, select Binning with midpoint and midpoint positions 12.8:27.2/1.8. Use the MEAN and STANDARD DEVIATION commands on pages 74 and 88 for the data in C7.

Excel

a. Use the Normal RANDOM NUMBER GENERATION commands on page 110, replacing number of variables with 6, number of random numbers with 100, mean with 20, and standard deviation with 4.5.

b. Activate cell G1.

Choose: Insert function, fx  Statistical 

AVERAGE  OK Enter: Number1: (A1:F1 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 12.8, the last value with 27.2, the steps with 1.8, and the output range with H1. Use the HISTOGRAM commands on page 61 with column G as the input range and column H as the bin range. Use the MEAN and STANDARD DEVIATION commands on pages 74 and 88 for the data in column G.

TI-83/84 Plus

a. Use the Integer RANDOM DATA and STO commands on page 101, replacing Enter with 20,4.5,100). Repeat the preceding commands five more times, storing data in L2, L3, L4, L5, and L6, respectively.

b. Enter: (L1  L2  L3  L4  L5  L6)/6 Choose: STO0 L7 (use ALPHA key for the ‘L’ or use ‘MEAN’)

c. Choose: 2nd  STAT PLOT  1:Plot1 Choose: Window Enter: 12.8, 27.2, 1.8, 0, 40, 5, 1 Choose: Trace   

Choose: STAT  CALC 

1:1-VAR STATS  2nd  LIST Select: L7