A machine cuts plastic into sheets thait are 30 feet (360 inches) long Assume th

Question

A machine cuts plastic into sheets thait are 30 feet (360 inches) long Assume thait the population of lengths is normally distributed Complete parts (a) and (b) a) The company warts to estimate the mean ler h the machine is cutting the platsc within 0 1 25 inch Deter he te mimwm sample sine regied to e nshud·9S confdence inte vulfor the pop Aanm , population standard deviation is 0 25 inch (Round up to the nearest whole number as needed) b) Repeat part (a) using an eeror tolerance of 0 0625 inch Round up to the nearest whole number as needed ) Which enror tolerance requires a larger sample sire? Explain O A. The tolerance E-0 0625 inch requises a larger sample stce As o B. The tolerance E-o 0625 inch requires a langer sample size Airror we decreases c. sie increasos a lrger samgle must he takon to ensure the durod accny larger sample mast be taken to ensure ne deseed aranacy a langen-ple mest be utei, 2.. deaed aano The tolerance E-o 125 inch requres a larger sample size As enor D. The tolerance E-0.125 inch requires a larger sample sice As ewror re decreases, a larger sample must be taken to ure size increases ?

Explanation / Answer

a)

b)

option B is correct

for 95 % CI value of z= 1.9600 standard deviation ?= 0.25 margin of error E = 0.125 required sample size n=(z?/E)2                                         = 16

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