(a) In a semiconductor company, the failures of the component are very high due to quality control issues. To make sure this problem is no longer an issue, the quality team has set their acceptance criterion for a production line not to have more than 4 defectives in every 30 samples. By giving the production yield (goods) as low as 20%, determine the acceptance probability of this production line set by quality team.
Q: After running the small study, Mary is planning a big study with 600 customers. The customers will…
A: It is an important part of statistics. It is widely used.
Q: Assume that 40% of students at SCC receive A or B’s, 35% receive C’s, and 25% receive D or F’s. A…
A: The following information has been provided: Categories Observed Value A 100 B 130 C 70…
Q: A company surveyed adult Americans about their consumer debt. The article reported that 48% of…
A: Given Solution:
Q: A reputed public school has 800 children. The school management has changed the school uniform twice…
A: Given :
Q: Workers in the office like to drink coffee during work. A doctor is concerned about this situation…
A: We want to test the hypothesis by using t test
Q: Suppose you wish to determine the proportion of college students in NC who receive some form of…
A: Givenconfidence level=95%Margin of error(E)=0.04sample proportion(p^)=0.78
Q: You may need to use the appropriate technology to answer this question. A manufacturer is well known…
A: One of the most common uses for this test is to assess whether two categorical variables are…
Q: A study was conducted in 2018 comparing the average earnings (average annual salaries) of US…
A: Solution:
Q: An air conditioning unity company stockpiles air conditioning units in a large warehouse for…
A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…
Q: In developing a generic drug, it is necessary for a manufacturer of biopharmaceutical products to…
A: We have given that Sample size n =20 Sample mean =18.22 Standard deviation =0.92
Q: According to World Health Organization (WHO), the recommended limit for a noise level inside a…
A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…
Q: Part i) The proportion of the 126 people who are living below the poverty line, 25/126, is a: A.…
A: Here given , A government official is in charge of allocating social programs throughout the city of…
Q: According to World Health Organization (WHO), the recommended limit for a noise level inside a…
A: The formula of correlation is,
Q: Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a…
A: Given: n1 = 6 n2 = 6 Formula Used: Test-statistic t = X1-X2sp1n1+1n2 sp = (n1-1)s12+(n2-1)s22n1+n2-2
Q: Fruits and vegetables are difficult crops to maintain due to all of the potential natural consumers…
A: Given Information: Consider the given dataset: CHEM 1 CHEM 2 CHEM 3 CHEM 4 FRUIT X 85 85 79…
Q: An insurance company wishes to keep the error rates in medical claims at or below 5%. If there is…
A: Given information: An insurance company wishes to keep the error rates in medical claims at or below…
Q: Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep.…
A: Claim : the percentage of commercial truck drivers who suffer from sleep apnea is not 4.1%
Q: Thirty patients are enrolled into a clinical trial, with half going to a treatment group and the…
A: Thirty patients are enrolled into a clinical trial, with half going to a treatment group and the…
Q: A company that sponsors LSAT prep courses would like to be able to claim that their courses improve…
A: a)Suppose μd is the population mean difference between post and initial test scores.
Q: A company surveyed adult Americans about their consumer debt. The article reported that 48% of…
A: Solution-:Let, p_1-be the proportion of Gen Xers who do not pay off their credit cards each monthand…
Q: 11) A manufacturer of cellular phones has decided that an assembly line is operating satisfactorily…
A: Solution: Population: A population is a group of items or things or persons under study is known as…
Q: Ford Motor Company is conducting a survey concerning consumer buying preferences of a particular…
A: Regression means the theory of estimation of the unknown value of a variable with the help of a…
Q: The owner of a computer company claims that the proportion of defective computer chips produced at…
A: Given X1=12 X2=10 n1=80 n2=90
Q: 2. (10 pts) A car manufacturer wants to find out which car color they should select for the display…
A: ONE way anova
Q: 3 months 6 months 9 months 1.00 5.43 5.20 1.74 3.06 5.68 1.03 2.52 3.07 4.23 3.96 5.11 1.25 6.32…
A: An ANOVA is a statistical tool used to test the population mean of two or more than two groups.…
Q: ose that in the previous semester, the percentages of students in the five sections of ECO 204 were…
A: Given: The data is shown below Expected proportions Observed 0.2 51 0.21 49 0.19 30 0.15…
Q: A government official is in charge of allocating social programs throughout the city of Vancouver.…
A: Solution
Q: he research and development (R&D) department of a paint manufacturer recently developed a new paint…
A:
Q: A quality control marketing manager orders parts and the parts are shipped in lots of sizes 15. When…
A: From the given information, a lot contains size as 15 and the manager randomly inspects 4 parts from…
Q: You are in charge of quality control for a company that manufactures a famous luxury brand of…
A: There are three different defects that you must be on the lookout for. A defect in any ofthese areas…
Q: A particular moth can infest avocado trees and potentially damage the avocado fruit. A farmer plans…
A: Given, mean μ= 59 standard deviation = 24.
Q: Four different formulations of an industrial glue are being tested. Each of the different…
A: Solution: The data for the strength and thickness is given.
Q: Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles…
A: Let pD represent the sample proportion for D, and let pE represent the sample proportion for E.
Q: A government official is in charge of allocating social programs throughout the city of Vancouver.…
A: Solution-: Let, X- Number of an annual income that is below the poverty line. Given: n=129,X=24 We…
Q: A company surveyed adult Americans about their consumer debt. The article reported that 48% of…
A: Solution-: Let, p_1-be the proportion of Gen Xers who do not pay off their credit cards each month…
Q: The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the…
A: Given Data population proportion,p = 0.01 sample size n = 4400 mean of the…
Q: OMean (a) For these data, which measures of OMedian central tendency take more than one value?…
A: Answer:- 1)Mode. Mode of the data=2. 2)If 18 replaced by 39 then Mean would be affected by change.…
Q: An analysis is performed on vacant land parcels in the city of Thunder Bay to find out whether or…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Dr. James, a dermatologist, is creating a face wash for her patients with severe skin allergies.…
A:
Q: A government official is in charge of allocating social programs throughout the city of Vancouver.…
A: Solution-: Let, X- Number of an annual income that is below the poverty line. Given: n = 124, X=25…
Q: Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a…
A:
Q: A substance abuse counselor wants to demonstrate the effect of situational stress on alcohol…
A: Introduction: Denote μ1, μ2 as the true mean measures of alcohol rating, as given by the group of…
Q: The National Collegiate Athletic Association (NCAA) measures the Graduation Success Rate (GSR),…
A: Sample size, Number of students graduated in six months, Significance level,
Step by step
Solved in 3 steps with 4 images
- A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is (3 dec places).The distribution is (examples: normal / t12 /…Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104An army that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employess. In order to determine if having a standard work procedure in place reduces troubleshooting time, they should use: a test of two proportions a two-tailed test of two independent means. a one-tailed test of two indepedent means. a two-tailed paired t-test. a one-tailed paired t-test
- The manager of a company that assembles and exports a particular type of pumps wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2. Table 2: Shows the time spend by workers during training and their productivity on jobTraining hours (x) 20 36 20 38 40 33 32Output (y) 40 70 44 56 60 48 62 (i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (ii) Estimate a simple regression line, using the method of least squares, to identify a linear relationship between the hours of training received by assembly workers and their output (i.e. number of units assembled per day). (iii) Interpret, in context, the gradient/slope of the regression line. (iv) Estimated the output at 20 hours training time. (v) Interpret the…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.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.
- The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, p, such that 5% of samples of 225 United States adults age 18–24 are greater than p. You may find software or a z-table useful. Give your answer precise to three decimal places. p = IIPETROGAS is testing new filters for its motorbikes. One brand of filter (Filter A) is placed in one motorbike, and the other brand (Filter B) is placed in the second motorbike. Random samples of air released from the motorbikes are taken at different times throughout the day. Pollutant concentrations are measured for both motorbikes at the same time. The following data attached represent the pollutant concentrations (in parts per million) for samples taken at 20 different times after passing through the filters. a. Test the hypothesis that the mean for the pollutant concentration for Filter B is greater than 30. Use the 1% level of significance. b. Construct a 95% confidence interval for the difference in mean pollutant concentration, where a difference is equal to the pollutant concentration passing through Filter A minus the passing through Filter B. c. Using the 5% significance level, determine whether there is evidence that mean for the pollutant concentration for Filter A…Identify the correct null hypothesis (from the below choices) for each: 1. A study wished to see if husbands or wives are more satisfied in their marriage. They selected 100 married couples and asked both the husband and wives to rate their satisfaction on a scale of 1 to 10. [Select] 2. A study wished to see if husbands or wives are more satisfied in their marriage. They selected a 100 married men and 100 married women and asked them rate their satisfaction on a scale of 1 to 10. [Select] 3. A study wished to see if husbands or wives are more satisfied in their marriage. From a previous study the average score (from 1 to 10) of wives was 6.5. They selected a sample of 100 married men and asked them to rate their satisfaction on a scale of 1 to 10. [Select]
- In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs shoulde located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 21 have an annual income that is below the poverty line. Part i) The proportion of the 130 people who are living below the poverty line, 21/130, is a: A. parameter. B. statistic. C. variable of interest. Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). 00 95% confidence interval=The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product, tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The sample mean is 92.3 days. The corporation will not market the product if the mean number of days is more than the 90 days claimed. The hypotheses are: H0:μ = 90 H1:μ > 90 What is a type I error in the context of this problem
