Question

21 of 48 30 Prices of shoes in a department store are distributed normally. The distance (d) of the price (p) of each pair of shoes from the mean price of $74 was computed as follows: d Ip- 74 If d is greater than 20 for approximately 32% of the pairs of shoes in the store, what is the approximate standard deviation of the shoe prices? A $6.40 B. $10.00 o C.$20.00 D $23.68
Y Fatima Haki 21 of 48 31 Becky babysits her younger siblings for $5.00 for the first hour and $3.00 for each remaining hour. She never babysits them for more than 4 hours. Becky wrote the following equation to calculate the amount of money, y, she will receive after babystting for h hours. y 5 +3(h-1) Which is a reasonable range for the given situation? ов, 5 у 14
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Answer #1

30) Price of shoes in a department normally distributed The distance (d) of the price (p) of each pair of shoes from the mean price of $74 was computed as: d= lp-741 Given that, P (lp 74 20) 032 This probability divides in to two parts, because ofmodulus sign P (lp-74220) = 0.32 P (-(p-74) >20)-P ((p-74) >20) = 0.32 P ((p-74-20) + P ((p-74)220) =0.32 2* P ((p-74) >20)-0.32 0.32 P (p-74) 202 P ((p-74)>20)-0.16 Now (p-74) P (P>0.16 (p-74) PC-20)-0.16 (since Z= 0.5-PCZ -0.16P(Z0.5-0.16 The corresponding value of Z from standard Normal table is 0.99 20 0.99-20 20 0.99 Thus, the approximate standard

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