Question

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The average amount of money that people spend at Don Mcalds fast food place is $7.6500 with a standard deviation of $1.8200. 17 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X-NI b. What is the distribution of ? -NE c. What is the distribution of +?\--N d. What is the probability that one randomly selected customer will spend more than $7.7879? e. For the 17 customers, find the probability that their average spent is more than $7.7879. f. Find the probability that the randomly selected 17 customers will spend more than $132.3943. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 17 people who spend the most money. At least how much must a group of 17 spend in total to get the free sundae? S

Answer 1

Il = 7.6500 Vol.8 200 I hz 17 706500 1.8200 ll= 7.6500, =) 8200 = 0.4414 än 17. 6500 2 0.4414 zhua 17 x 7.6500 Ex = 130.0500 Tex=rno -VIH x 1.8200 = 70 5041 2x N 13000500 1705041 2 - 48 79) 1.8200 d play to P(234+-#8 #9 -6500 - P(Z > 0.08) 10.4681 & Plä > 7 78 79) PC 7 78 79 - 7.6500 0.4414 zP(Z > 0.31) 0.3783 132-3943-130-0500 7.504 $ TC Ex > 132- 3143)=P( 7% - P(Z > 0.31) 10.3783 3 Thes h, Plzx 7, ) = 5.1. = 0.05 - PC Z> ^– 130.050g = 0.05 uz (1.645*+5041) +13060900 1142.3942 7.5041 X-13000500 1. 645 = 705041