Many older homes have electrical systems that use fusesrather than circuit breakers. A manufacturer of 40-ampfuses wants to make sure that the mean amperage atwhich its fuses burn out is in fact 40. If the mean amperageis lower than 40, customers will complain becausethe fuses require replacement too often. If the meanamperage is higher than 40, the manufacturer might beliable for damage to an electrical system due to fusemalfunction. To verify the amperage of the fuses, asample of fuses is to be selected and inspected. If ahypothesis test were to be performed on the resultingdata, what null and alternative hypotheses would be ofinterest to the manufacturer? Describe type I and type IIerrors in the context of this problem situation

Many older homes have electrical systems that use fusesrather than circuit breakers. A manufacturer of 40-ampfuses wants to make sure that the mean amperage atwhich its fuses burn out is in fact 40. If the mean amperageis lower than 40, customers will complain becausethe fuses require replacement too often. If the meanamperage is higher than 40, the manufacturer might beliable for damage to an electrical system due to fusemalfunction. To verify the amperage of the fuses, asample of fuses is to be selected and inspected. If ahypothesis test were to be performed on the resultingdata, what null and alternative hypotheses would be ofinterest to the manufacturer? Describe type I and type IIerrors in the context of this problem situation

Name: Many older homes have electrical systems that use fusesrather than cir
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Many older homes have electrical systems that use fusesrather than circuit breakers. A manufacturer of 40-ampfuses wants to make sure that the mean amperage atwhich its fuses burn out is in fact 40. If the mean amperageis lower than 40, customers wil

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 313 female factory workers and out of them 48 could not speak English. She then randomly selects 400 male factory workers and out of them 43 could not speak English. Test her claim at a=0.05 to see if she was right. The correct hypotheses are: O Ho:PF Рм (сclaim) O Ho:PF 2 PM HA:PF < PM(claim) O Ho:PF = pM HA:PF + PM(claim) Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak…
A survey of 700 non fatal accidents showed that 287 involved defective equipment. Find a point estimate for p, the population proportion of accidents that involved defective equipment and round to 4 decimal places if needed.
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 37 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. (a) What is the level of significance? (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. (c)What is the value of the sample test statistic? (Round your answer to two decimal places.)
Please answer both
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 35 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01.
Suppose that the average number of miles driven by a student is 15,000 and the standard error is 5000 miles. Find the interval of miles within which 99% of the drivers fall.
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 32 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01.
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 38 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. a) Estimate the P-value. choose one: P-value > 0.2500. 100 < P-value < 0.250 0.050 < P-value < 0.1000. 010 < P-value < 0.050 P-value < 0.010 b) Sketch the sampling distribution and show the area corresponding to the P-value.…
A Biomedical engineer is measuring how much current is needed to stimulate the nerve of a rat to create a muscle function. He is measuring 5 rats and wants to evaluate if less current is needed to stimulate a young animal compared to an old animal. The mean of the current to stimulate young animals is 4.6mA. Meuasrements from trials on Old Rats: 6, 6, 12, 7, 8 (in mA) Can the engineer conclude that old rats need more current?
In a data set with 25 scores, if the value 16 occurs 12 times, what is its relative frequency?
A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. There is…
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 32 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? = 16.4 ft; H1: ? < 16.4 ftH0: ? > 16.4 ft; H1: ? = 16.4 ft H0: ? < 16.4 ft; H1: ? = 16.4 ftH0: ? = 16.4 ft; H1: ? > 16.4 ftH0: ? = 16.4 ft; H1: ? ≠ 16.4 ft…