1 answer

ESC F1 F2 F3 F4 F5 F6 5. For each binomial experiment below, tell if the...

Question:

ESC F1 F2 F3 F4 F5 F6 5. For each binomial experiment below, tell if the Empirical Rule applies. If the rule does apply, illustrate it by filling in the blanks below. (Special weighting) a.) A person spins a 1-2 spinner 10 times and counts the number of times it lands 1 b.) A person spins a 1-2 spinner 50 times and counts the number of times it lands 2. (Use 1 sd to fill in the . (Use 2 sd to fill in the . (Use 3 sd to fill in the % of the data is between and blanks.) ofthe % of the data is between and % of the data is between blanks.) and blanks.)
ESC F1 F2 F3 F4 F5 F6 5. For each binomial experiment below, tell if the Empirical Rule applies. If the rule does apply, illustrate it by filling in the blanks below. (Special weighting) a.) A person spins a 1-2 spinner 10 times and counts the number of times it lands 1 b.) A person spins a 1-2 spinner 50 times and counts the number of times it lands 2. (Use 1 sd to fill in the . (Use 2 sd to fill in the . (Use 3 sd to fill in the % of the data is between and blanks.) ofthe % of the data is between and % of the data is between blanks.) and blanks.)

Answers

25\pm 2\times 3.545. a) Rule does not apply as the sample size is less than 30

b) n = 50

p = 0.5

q= 0.5

Mean np = 50x0.5 = 25

Standard deviation \sqrt{npq}
= \sqrt{50\times 0.5\times 0.5}

= 3.54

a) 25\pm 3.54? = 21.46 and 28.54

68% of the data is between 21 and 29

b) 25\pm 2\times 3.54 ? = 17.92 and 32.08

95% of the data is between 18 and 32

c) 25\pm 3\times 3.54 = 14.38 and 35.62

99.7% of the data is between 14 and 36

.

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