G: https://www.mathxl.c gbs221 11738 Diamond Peters 10/16/17 6:36 PM Homework: L

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G: https://www.mathxl.c gbs221 11738 Diamond Peters 10/16/17 6:36 PM Homework: Lesson 2 MyStatLab Problems Score: 0 of 1 pt 3.3.25-T Save 8 or 10(7 complete) Hw Score: 70%, 7 of 10 pts uestion Help * Tha following data ropresents the number of minutes customers at a fast tood restaurant had to wart in the dnve thnu line befone their onder was taken !1 5 0 9 8 3 2 1 Calculate the 2-score tor the tollowing times. a. Tminutes b. 2 minuutcs c. 4 minutes d. 10 nules a. The z-soore for 7 ls Round to two decirmel places as needed.) Enter your answer in the anewer box and then click Check Anewer. Clear Al Check Answer

Explanation / Answer

11 0 5 0 9 8 3 2 1

Mean = (11 + 0 + 5 + 0 + 9 + 8 + 3 + 2 + 1) / 9

= 39/9

= 0.4333

Sum of squares of differences = (11 - 39/9)2 + (0 - 39/9)2 + (5 - 39/9)2 + (0 - 39/9)2 + (9 - 39/9)2 + (8 - 39/9)2 + (3 - 39/9)2 + (2 - 39/9)2 + (1 - 39/9)2 = 136

Standard deviation = (136/8) = 4.1231

Z score = (X - ) /

a) X = 7

Z = (7 - 39/9) / 4.1231

= 0.65

b) X = 2

Z = (2 - 39/9) / 4.1231

= -0.57

c) X = 4

Z = (4 - 39/9) / 4.1231

= -0.08

d) X = 10

Z = (10 - 39/9) / 4.1231

= 1.37.

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