5. Two processes A and B, were used to produce stainless steel shafts in an industrial company.Process A and Process B produce 9% and 12% nonconforming stainless steel shafts,respectively.a. A random sample of 100 stainless steel shafts were taken from Process A. What is theUTMprobability that more than 95% of the stainless steel shafts are conforming?b. A random sample of 90 stainless steel shafts from Process A and 80 stainless steel shaftsUTM UTUTM 8Ufrom Process B were taken randomly. Find the probability that the difference betweenproportion of the nonconforming stainless steel shafts from Process A and Process BUTMUTMis at most 0.1.O UTM UTUTM6 UTM UO UTM UT

Given that, Process A and Process B produce 9% and 12% nonconforming stainless steel shafts,…

Answered: 5. Two processes A and B, were used to…

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...

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15. The U.S. Energy Information Administration claimed that in 2017, U.S. residential customers used an average of 10,399 kilowatt hours (kWh) of electricity. A local power company believes that residents in their area use more electricity on average than EIA’s reported average. To test their claim, the company chooses a random sample of 100 of their customers and calculates that these customers used an average of 10,608 kWh of electricity in the prior year. Assuming that the population standard deviation is 1361 kWh, is there sufficient evidence to support the power company’s claim at the 0.05 level of significance? (a) Symbolically, state the null and alternative hypothesis and state which is the claim. (b) Calculate the standardized test statistic. You must show a filled out standardized test statistic formula. (c) Find either the critical values and identify the rejection regions or find the p-value. Also, decide whether to reject or fail to reject the null hypothesis and be sure…
The National Academy of Science reported that 41% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…
Three randomly selected households are surveyed. The numbers of people in the households are 1,4, and 10. Assume that samples of sizen=2 are randomly selected with replacement from the population of1,4, and 10. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n=2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 Construct the probability distribution table. Sample Proportion Probability ▼ 0.1 0.25 0 nothing ▼ 0.25 0.5 0.75 nothing ▼ 1 0.25 0.75 nothing (Type an integer or fraction.)
4. I would like to design a randomized experiment in which only 1 factor is being investigated. I am assessing if varying the filtration time affects the volume of filtrate collected after 5 hours. What is random variable being investigated here? A. filtration time B. filtrate C. volume of filtrate D. type of filter paper 5. Which is a proper way of conducting this experiment (#4 problem)? A. Set 3 different volumes of filtrate and measure filtration time of 2 observations each. B. Set 3 different filtration times and measure at least 2 observations of filtrate volume for each. C. Set 2 different filtration times and measure at least 3 observations of filtrate volume for each. D. Set 2 different volumes of filtrate and measure filtration time of 3 observations each.
A manufacturer of widgets wants to test a new widget-producing machine to determine if it can make an average of 25 widgets per second before deciding to invest in the machine. The standard to reject the new machine is if it makes an average of less than 25 widgets per second. Here are data from a small random sample:25.6, 26.2, 22.5, 20.5, 26.4, 27.4, 23.6, 26.9, 25.7, 24.9Assuming the population follows a normal distribution, is there evidence that the new machine should be rejected at the 0.01 significance level? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
1. for a consumption of 90 liters of wine/year what wouls be the corresponding z-score (in whole number)
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737kWh of electricity last year. Assuming that the population standard deviation is 1220kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A sample sequence of 42 products is selected (in order) from an assembly line. Each product is examined and judged to be either acceptable or defective. A total of 35 of these products were found to be acceptable, and the other 7 were found to be defective. The number of runs was 5. The runs test is to be used at the 0.05 significance level to test for randomness. Find the value of the test statistic used in this test, and round it to 3 places after the decimal point (if necessary) Test statistic: Submit Question DII F3 4 R F4 % 5 T G A F5 A 6 Y H F6 & 7 U F7 PrtScn 8 F8 K Home 9 F9 O End F10 P
1.A personnel manager is employed in a corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews. (a) Sketch the graph.(b) Give the 95th Percentile. (Round your answer to two decimal places.)
3. The amount of time it takes a TELNOR cashier to serve customers in service by car is a normally distributed random variable, with mean 3.2 minutes and standard deviation 1.6 minutes. Given a random sample of 64 customers served in a day, find the probability that the average time spent serving these customers is: (a) less than 2.7 minutes b) more than 3.5 minutes c) at least 3.0 minutes, but less than 3.4 minutes.
40. We will take a random sample of 30 vehicles of a certain make and model and measure the fuel efficiency in miles per gallon (mpg) of each of them. We will conduct a hypothesis test at the 10% level of significance to determine whether there is evidence that the true mean fuel efficiency of all cars of this make and model differs from 32 mpg. What is the probability of failing to reject H, if the true mean is in fact 32 mpg? (A) 0.10 (B) 0.95 (C) 0.05 (D) 0.90 (E) 0.20
2) An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilotsweighing between 120 lb and 171 lb. The new population of pilots has normally distributed weights witha mean of 128 lb and a standard deviation of 34.9 lb.a) If a pilot is randomly selected, find the probability that their weight is between 120 lb and 171 lb.b) If 30 different pilots are randomly selected, find the probability that their mean weight is between120 lb and 171 lb.c) When redesigning the ejection seat, which probability is more relevant?

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