According to the manufacturer's data, 6.5% of the items coming off the production line have a defect. A random sample of size 186 was obtained. Let be the proportion of the sample that have a defect. 1. Use the Central Limit Theorem (np>10 and n(1-p)>10 of) to describe the probability distribution of p and state its parameters μ and : (Round the answers to 4 decimal places) p N (p= 0.0 0,0p 2. Find the probability that more than 9% of the sample have a defect. (Round the answer to 4 decimal places)
According to the manufacturer's data, 6.5% of the items coming off the production line have a defect. A random sample of size 186 was obtained. Let be the proportion of the sample that have a defect. 1. Use the Central Limit Theorem (np>10 and n(1-p)>10 of) to describe the probability distribution of p and state its parameters μ and : (Round the answers to 4 decimal places) p N (p= 0.0 0,0p 2. Find the probability that more than 9% of the sample have a defect. (Round the answer to 4 decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:According to the manufacturer's data, 6.5% of the items coming off the production line have a defect. A
random sample of size 186 was obtained. Let p be the proportion of the sample that have a defect.
o) to describe the probability distribution
and op: (Round the answers to 4 decimal places)
OF (H₂
2. Find the probability that more than 9% of the sample have a defect.
(Round the answer to 4 decimal places)
1. Use the Central Limit Theorem (np>10 and n(1-p)>10
of and state its parameters
P
~N
N
0.0
2
op
=

Transcribed Image Text:The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget
weights have a mean of 42 ounces and a standard deviation of 5 ounces.
Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions.
a) 95% of the widget weights lie between 32
✓and 52
b) What percentage of the widget weights lie between 27 and 52 ounces?
c) What percentage of the widget weights lie above 37 ?
%
%
OB
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