3. At a factory that produces doorknobs, a batch of 1500 doorknobs has just beenproduced. To check the quality of the doorknobs, a random sample of 100doorknobs is selected to test for defects. Out of these 100 doorknobs, 2 werefound to be defective. Based on these results, what is the best estimate you cangive for the number of defective doorknobs in the batch of 1500? Solve thisproblem in two different ways, explaining your reasoning in each case.just been

Answered: Image /qna-images/answer/f292a9a6-425b-4cc0-b6cc-97de42602611.jpg

Answered: 3. At a factory that produces…

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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A polisher wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%
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 1.5% 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 , where p 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≥p0.015 , 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.
Wildlife biologist inspects 153 deer taken by hunters and find 32 of them carrying Lyme disease ticks. 1). If the scientist want to estimate the proportion of the deer that carry Lyme disease ticks within 2% with 90% confidence how many deer should they sample?
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 researcher wants to determine the percentage of American teenagers who send or receive text messages while doing homework. Which of the following techniques would likely be the MOST efficient way of obtaining an accurate estimate for this percentage? 1. Randomly select teenagers from the list of all teenage students in every state in America and mail surveys to those teens, asking them if they send or receive text messages while doing homework. 2. Send a survey to every teenager in America and ask them if they send or receive text messages while doing homework. 3. Randomly select teenagers from the list of all teenage students in one state and mail surveys to those teens, asking them if they send or receive text messages while doing homework.
A random sample of 600 people from a certain district were questioned and the results indicated that 30% used a particular product. In a second random sample of 300 people. 96 used the product. Using the data from the two samples, find the best estimate of the proportion of people in the district who used the product.
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).
A local cellular phone company wishes to estimate the proportion of Clinton County people who own a cellular phone. A previous study showed the proportion to be about 25%. What is the minimum number of people that should be randomly selected so the cellular company is 95% confident that the estimate is within 5% of the true proportion of cellular phone users?
An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?
To collect data about the number of students in your high school who have a part time job, which of the following methods is most likely to lead to a sample that is the most representative of the students in your school? Interview all the girls in the school. Ask the principal. Interview all the students in 9th grade. Assign each student in the school a number and randomly select students to be interviewed. Interview all the students who are on the sports teams in the school.
There are 435 seats in a nation's House of Representatives. The number of representatives per state is calculated using a statistical formula determined by law, but allocation is roughly proportionate to population. In 2010, the nation's population was estimated to be 309.1 million. The state's population was estimated at 26.1 million. How many representatives would you expect to be assigned to the state? Suppose the state actually has 34 representatives. Compare this with the expected number of representatives from the state.
According to a census company. 7 1% of all bables bom are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 240 births for which the mother was 35 to 39 years old and found 28 low-birth-weight bables. Complete parts (a) through (c) below. (a) lf the proportion of low-birth-welght babies for mothers in this age group is 0.071, compute the expected number of low-birth-weight births to 35- to 39-year-old mothers. What is the expected number of births to mothers 35 to 39 years old that are not low birth weight? The expected number of low birth-weight births to 35- to 39-year-old mothers is The expected number of births to mothers 35 to 39 years old that are not low birth weight is (Type integers o decimals)

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