Question

According to the United States Department of Agriculture, the monthly grocery budget for a family of 4 ranges between $557.17 and $1212.17. If we assume grocery budgets are normally distributed, then the mean grocery budget would be $884.67 with a standard deviation of $109.1675. a. Between what two values do we expect the middle 68% of grocery budgets to fall? o between $ and $ b. What is the probability the monthly grocery bill for a family of 4 is between $770.04 and $1117.2? o Z= o Z= o probability = c. A family is classified as a "high end" shopper if their monthly grocery bill is in the top 7.4%. What dollar amount corresponds to this classification? o Z= • budget = d. Completely describe the sampling distribution of the sample mean grocery budget when samples of 21 families are selected. o mean: My o standard deviation: Oy (round your answer to 4 decimal places) shape: the distribution of y is Select an answer because Select an answer

Answer 1

Solution - l = 88 4.67 109.1675 within isoo) are a) Middle 681. of score mear - ه - ہل and u to 88 4.67-109.1675 and 884.67+ 10g. 1675 - and 775.5025 ZF 993.8375 YZix Z=x-h b) zo -1.05 370.04- 884.67 log.1675 ST I2 = 1117.2 - 88 4.67 log. 1675 2.13 bimo mia 1.05 LZL 2013) Probability = Pl-1.05 0.8365 FEL 2= 11.45 OD PL2320)0.094 ) • budget 88 4.67 + 1.458 109.1675 10 42.96 d) 4 = 88 4.67 23.8223 Tg = m 109.1675 V21 is Normal I is because I population Normal