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A manufacturer considers his production process to be out of control when defects exceed 3%. In...
Question 1 (a) In a metal fabrication process, metal rods are produced that have an average length of 20.5 feet with a standard deviation of 2.3 feet. A quality control specialist collects a random sample of 30 rods and measures their lengths. (i) Describe the sampling distribution for the sample mean by naming the model and telling its mean and standard deviation. [3 marks] (ii) Calculate the probability that the sample mean length of metal rods is less than 19.5...
Suppose we have 3 distinct people, 4 identical math books, and 5 identical history books. How many different (distinguishable) ways can ALL the books be distributed to the students? SELECT ALL APPLICABLE CHOICES A) B) 5! 31·41 C) D) None of These 3!.4! 5! A manufacturer considers his production process to be out of control when defects exceed 3 percent. In a random sample of 85 items, the defect rate is 5.9 percent but the manager claims that this is...
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 2 in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. SELECT ALL APPLICABLE CHO A) There is not sufficient evidence to support the claim that the true proportion is greater than 2 i ten thousand. B) There is...
A manufacturer of calculator batteries claims that the average lifespan of her batteries is more than 1300 hours. a. Set up the null and alternative hypothesis needed to substantiate this claim, as if you had reason to believe that this claim is not being met. b. A sample of 16 batteries is tested and it is found that the sample mean is 1280 hours and σ = 40 hours. Do a test of your null hypothesis at the 1% significance...
A surgical clamp manufacturer claims that only 10% of its parts are defective (p = 0.10). Hospital critics claim the defect rate is higher (p > 0.10). Testing of 500 randomly selected parts yields a Z statistic of -4.0. a & b) Write out the null and alternative hypotheses c) Will the computation result in a one- or two-tailed test (on a Bell curve)? d) What does the negative z-score indicate regarding the critical region of the test (on a...
A surgical clamp manufacturer claims that only 10% of its parts are defective (p = 0.10). Hospital critics claim the defect rate is higher (p > 0.10). Testing of 500 randomly selected parts yields a Z statistic of -4.0. a & b) Write out the null and alternative hypotheses c) Will the computation result in a one- or two-tailed test (on a Bell curve)? d) What does the negative z-score indicate regarding the critical region of the test (on a...
A manufacturer claims his light bulbs have a mean life of 1500 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 220 bulbs and found them to have a sample mean life of 1490 hours and a sample standard deviation of 40 hours. Assess the manufacturer's claim. a) What is the null hypothesis? μ = 1500 x̄ = 1500 x̄ < 1500 μ...
there are 4 questions collectively. thanks!
For problems 7 and 8, an auto manufacturer claims that the average length of time that one of its cars is owned before it requires a major repair is at least seven years. Assume that a survey of ten owners of the manufacture's ears finds that they went an average of 6 years before a major repair and the sample standard deviation for such time lengths was 18 years. Use the data to test...
An auto manufacturer claims that the average length of time that one of its cars is owned before it requires a major repair is at least seven years. Assume that a survey of ten owners of the manufacture's cars finds that they went an average of 6 years before a major repair and the sample standard deviation for such time lengths was 1.8 years. Use the data to test the manufacture's claim at a 5% significance level. A. Give the...
For problems 7 and 8, an auto manufacturer claims that the average length of time that one of its cars is owned before it requires a major repair is at least seven years. Assume that a survey of ten owners of the manufacture's cars finds that they went an average of 6 years before a major repair and the sample standard deviation for such time lengths was 1.8 years. Use the data to test the manufacture's claim at a 5%...