A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated testing (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability c. Round your answers to three decimal places.) proceeding should be most 0.10. (Assume the rejection region takes the form reject H, if X 2 c for so What are the error probabilities for n = 10? I0 USE SALT

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A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has
decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated
testing (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if
p = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject Ho if X > c for some
c. Round your answers to three decimal places.)
What are the error probabilities for n = 10?
In USE SALT
P-value =
B(0.3) =
Can n = 10 be used?
O It is not possible to usen = 10 because there is no value of X which results in a P-value < 0.1.
O It is not possible to use n = 10 because it results in B(0.3) > 0.1.
O It is not possible to use n = 10 because it results in B(
) < 0.1.
O It is possible to use n = 10 because both the P-value and B(0.3) are less than 0.1.
O It is possible to use n = 10 because both the P-value and B(0.3) are greater than 0.1.
What are the error probabilities for n = 20?
P-value =
B(0.3)
Transcribed Image Text:A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated testing (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject Ho if X > c for some c. Round your answers to three decimal places.) What are the error probabilities for n = 10? In USE SALT P-value = B(0.3) = Can n = 10 be used? O It is not possible to usen = 10 because there is no value of X which results in a P-value < 0.1. O It is not possible to use n = 10 because it results in B(0.3) > 0.1. O It is not possible to use n = 10 because it results in B( ) < 0.1. O It is possible to use n = 10 because both the P-value and B(0.3) are less than 0.1. O It is possible to use n = 10 because both the P-value and B(0.3) are greater than 0.1. What are the error probabilities for n = 20? P-value = B(0.3)
What are the error probabilities for n = 25?
P-value
%3D
B(0.3) =
Transcribed Image Text:What are the error probabilities for n = 25? P-value %3D B(0.3) =
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