2. Ceramic items are "baked" in a gas-fired tubular-shaped oven is lots of 100 units. The items are linedup in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and thetemperature increased manually according to time-temperature scale. After cooling, a sample of fiveunits is drawn from a lot and strength-tested by breaking them in a special testing device. To beeffective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot fromwhich it came is scrapped. About 10% of the lots have been scrapped in recent times.c. Calculate the pertinent Process Capability Indexes for this process and interpret their meaning relativeto your answer to part (b)d. Assuming R chart shows good control, where should the process be centered to ensure that nomore than 0.1% of the items do not meet specification (assume a normal distribution)? Calculate thesame Process Capability Indexes at this target mean setting.

Given: ΣX = 112.00psi and ΣR = 23.26 psi

Answered: 2. Ceramic items are "baked" in a…

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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An engineer is doing an assessment of their current inspection procedures on a certain batch of manufactured car parts with 50 items. The inspection procedure will use 5 samples. The batch will be passed if no more than 2 items are found to be defective. What part of manufactured car parts with 20% defectives will be accepted?
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 3% of the true population proportion. How large of a sample size is required?
In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the X-bar chart? O a. 157.21, 177.05 O b. 146.01, 157.87 Oc. 159.25, 175.02 O d. None is correct O e. 142.92, 160.66 Of. 143.55, 165.47
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The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, wherep is the proportion of defective light bulbs in a sample of 4400 when there is no ? malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 2 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test 2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).
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Autism Spectrum Disorder (ASD) is a group of complex brain development disorders that impacts how a person perceives and socializes with others, causing problems in social interaction and communication. The disorder also includes limited and repetitive patterns of behaviour. The age group (in months) at diagnosis of 60 people living with ASD are tabulated in the frequency distribution below: Age when ASD was diagnosed Class Midpoint Frequency (in months) M f (0 – 10] 12 (10 – 20] 15 20 (20 – 30] 25 13 (30 – 40] 35 9. (40 – 50] 45 4 (50 – 60] 55 2 Total 60 a) The shape of the data may be classified as: O binomial O normal O bimodal skewed to the right O symmetric O skewed to the left

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