QUESTION 2. A batch of 140 semiconductor chips is inspected by choosing a sample of 5chips. Assume 10 of the chips do not conform to customer requirements.(a) How many different samples are possible?(b) How many samples of five contai exactly one nonconforming chip?(c) How many samples of five contain at least one nonconforming chip?

A batch contain 140 semiconductor chips is inspected by sample of 5 chips. i.e N=140 n=5

Answered: QUESTION 2. A batch of 140…

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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1. A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. A simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium or not. The researcher found that 40 alga were, in fact, cyanobacteria. (enter your answer in 3 decimal places) (a) What is the sample proportion of the algae that were cyanobacteria? (b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria?(c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria?(d) What is 95% CI? , watts
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…
15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 10.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>10.0 Ha: μ≤10.0 B. H0: μ≠10.0 Ha: μ=10.0 C. H0: μ<10.0 Ha: μ≥10.0 D. H0: μ≤10.0 Ha: μ>10.0 E. H0: μ≥10.0 Ha: μ<10.0
5-The number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a sample size 100, resulting in the following frequencies: Cumulative Frequency 1 TITI Cumulative Number of Particles Number of Particles Frequency 84 1 3 88 2 6 10 93 3 18 11 96 4 29 12 97 5 44 13 99 6 62 14 100 7 72 a) What proportion of the sampled wafers had (P2 8)? b) What proportion of the sampled wafers had between (5 < P < 10)?
2.) The following are the weekly losses of worker-hours due to accidents in 10 industrial plants before and after a certain safety program was put into operation: 45 & 36 73 & 60 46 & 44 124 & 119 33 & 35 57 &51 83 & 77 34 & 29 26 & 24 17 & 11. Use 0.05 level of sig to test whether the safety program is effective.
26) A phycologist is interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 algae was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. a) The proportion p that was cyanobacteria isA. 38B. 0.38C. 0.5D. 0.76E. 50 b) (Continue from the previous question),What is the standard error of the proportion p, i.e. S.E.(p), that were cyanobacteriaisA. 0.0036B. 0.0604C. 0.0684D. 0.1824E. None of the above
2) A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to determine the level of lead found in each of ten randomly selected homes. The home inspector believes that Test A is more accurate than Test B. The data obtained, for lead level in each home using each method is shown in the table below. SPECIMEN 8| 9 2 3 4 6 7 10 A 22.7 23.6 24.0 26.6 27.2 28.7 35.0 32.5 44.1 47.3 Test B 23.0 23.2 23.5 25.6 27 27.1 33.2 35.3 40.5 47.8 a. Does this data provide convincing evidence to support the home inspectors claim? Provide a statistical justification to support your answer. b. What kind of error could you have made? What is one consequence of that error? c. Is the sample statistically significant at the 0.05 level? If not, at what significance level would these results be statistically significant at?
1.23. The union bureau of the faculty, consisting of 9 people, at its meeting must elect a chairman, his deputy and treasurer. How many different cases can there be? (Answer: 504.)
5.
14.

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