Question 2. Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to make sure that the mean amperage at which its fuses burn out is in fact 40, i.e., u = 40. If the mean amperage is lower than 40, customers will complain because the fuses require replacement too often. If the mean amperage is higher than 40, the manufacturer might be liable for damage to an electrical system due to fuse malfunction. (a) To verify the amperage of the fuses, a random sample of fuses is to be selected and inspected. If a hypothesis test were to be performed on the resulting data, what null and alternative hypotheses would be of interest to the manufacturer? Ho O Ho Ho = 40 versus H₁ = 40 versus Ha = 40 versus Ha: Ho240 versus Ha: < 40 > 40 < 40 #40 49 (b) Suppose a random sample of size n = 49 is taken, and it is given that 1₁ = 2058 and 1=87250.77. Test the hypothesis you selected in (a) against its alternative at the significance level a = 0.05. Select the correct description of the type I error in this problem situation. OA type I error would be declaring a fuse to be satisfactory when in fact it is defective. A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory. OA type I error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. A type I error would be declaring a fuse as being defective when in fact the fuse is defective. (d) Select the correct description of the type II error in this problem situation. OA type II error would be declaring a fuse to be satisfactory when in fact it is defective. O A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type II error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. O A type II error would be declaring a fuse as being defective when in fact the fuse is defective.
Question 2. Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to make sure that the mean amperage at which its fuses burn out is in fact 40, i.e., u = 40. If the mean amperage is lower than 40, customers will complain because the fuses require replacement too often. If the mean amperage is higher than 40, the manufacturer might be liable for damage to an electrical system due to fuse malfunction. (a) To verify the amperage of the fuses, a random sample of fuses is to be selected and inspected. If a hypothesis test were to be performed on the resulting data, what null and alternative hypotheses would be of interest to the manufacturer? Ho O Ho Ho = 40 versus H₁ = 40 versus Ha = 40 versus Ha: Ho240 versus Ha: < 40 > 40 < 40 #40 49 (b) Suppose a random sample of size n = 49 is taken, and it is given that 1₁ = 2058 and 1=87250.77. Test the hypothesis you selected in (a) against its alternative at the significance level a = 0.05. Select the correct description of the type I error in this problem situation. OA type I error would be declaring a fuse to be satisfactory when in fact it is defective. A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory. OA type I error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. A type I error would be declaring a fuse as being defective when in fact the fuse is defective. (d) Select the correct description of the type II error in this problem situation. OA type II error would be declaring a fuse to be satisfactory when in fact it is defective. O A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type II error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. O A type II error would be declaring a fuse as being defective when in fact the fuse is defective.
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:Question 2. Many older homes have electrical systems that use fuses rather than circuit
breakers. A manufacturer of 40-amp fuses wants to make sure that the mean amperage at
which its fuses burn out is in fact 40, i.e., u = 40. If the mean amperage is lower than
40, customers will complain because the fuses require replacement too often. If the mean
amperage is higher than 40, the manufacturer might be liable for damage to an electrical
system due to fuse malfunction.
(a) To verify the amperage of the fuses, a random sample of fuses is to be selected and
inspected. If a hypothesis test were to be performed on the resulting data, what null and
alternative hypotheses would be of interest to the manufacturer?
Ho = 40 versus Ha > 40
fl
Hoμ = 40 versus Ha: μ< 40
Ho
= 40 versus Hap 40
Ho : μ > 40 versus Ha : μ < 40
49
49
(b) Suppose a random sample of size n = 49 is taken, and it is given that 2₁ Xi = 2058
and ₁x² = 87250.77. Test the hypothesis you selected in (a) against its alternative at
the significance level a = 0.05.
Select the correct description of the type I error in this problem situation.
A type I error would be declaring a fuse to be satisfactory when in fact it is defective.
A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory.
A type I error would be declaring a fuse as being defective when in fact there is nothing
wrong with the fuse.
A type I error would be declaring a fuse as being defective when in fact the fuse is
defective.
(d) Select the correct description of the type II error in this problem situation.
A type II error would be declaring a fuse to be satisfactory when in fact it is defective.
A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory.
A type II error would be declaring a fuse as being defective when in fact there is nothing
wrong with the fuse.
O A type II error would be declaring a fuse as being defective when in fact the fuse is
defective.
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