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Edit View History Bookmarks People Window Help Do Homework- christina cognato Secure https aspx?homeworkld 450320741&questionld; 7&flushed-false;&cld; 4719649&centerwi; MATH 1016-01 Fall 2017 Christina cognato 12/1/171 1:00 PM Homework: Lesson 6, Section 6.1 Homework Score: 0 of 1 pt 6.1.51 Save 80f 8 (6 complete) Hw Score: 55.83%, 4.47 of 8 pts Question Help A machine cuts plastic into sheets that are 35 feet (420 inches) long Assume that the population of lengths is normally distributed. Complete parts (a) and (b) (a) The company wants to estimate the mean length the machine is cutting the plastic within 0.25 inch. Determine the minimum sample size required to construct a 90% oofdence interval for the population mean. Assume the population standard devation is 0.50 inch. Round up to the nearest whole number as needed) (b) Repeat part (a) using an error tolerance of 0.125 inch Round up to the nearest whole number as needed.) s Enter your answer in the answer box and then click Check Answer Clear All Check Answer 3 9

Explanation / Answer

A machine cuts plastic into sheets that are 35 feet (420 inches) long :: Mean=420 inches

a) For 90% confidence Interval: z = 1.645, standard deaviation=0.50, Error:E=0.25

n= [z*s/E]^2
n = [1.645*0.50/0.25]^2
n = 10.8241
when rounded up=11

b) Here Error tolerance =0.125 inch,

n= [z*s/E]^2
n = [1.645*0.50/0.125]^2
n = 43.2964
when rounded up=43

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