18.8 NuttyKorn is a snack consisting of caramel popcorn and peanuts. They advertise that the weight of peanuts (in ounces) in a 26-ounce box of snack follows a normal distribution with mean 5 and...

Extracted text: 18.8 NuttyKorn is a snack consisting of caramel popcorn and peanuts. They advertise that the weight of peanuts (in ounces) in a 26-ounce box of snack follows a normal distribution with mean 5 and standard deviation .2. A consumer group has grave fears that NuttyKorn is skimping on the peanuts. They want to test Họ : µ = 5 versus Ha : µ < 5,="" where="" µ="" is="" the="" true="" average="" weight="" of="" peanuts="" in="" a="" 26-ounce="" box="" of="" snack.="" (assume="" that="" the="" standard="" deviation="" is="" known="" to="" be="" 0.2.)="" they="" will="" randomly="" select="" four="" boxes="" and="" reject="" ho="" if="" at="" least="" three="" of="" the="" boxes="" have="" less="" than="" 4.8="" ounces="" of="" peanuts.="" (a)="" what="" is="" the="" test="" size="" for="" this="" decision="" rule?="" (use="" the="" 68-95-99.7="" rule.)="" (b)="" suppose="" that="" the="" true="" average="" weight="" of="" peanuts="" is="" only="" µ="4.6" ounces="" (and="" the="" standard="" deviation="" is="" again="" .2).="" what="" is="" the="" power="" of="" the="">