(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: The regression equation for predicting the number of speeding tickets (Y) has bo equals 24.83 and b;…
A: We have given that b0=24.83 , b1=-0.332 and X=12
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 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: Find a 90% confidence interval for the population mean, if the sample size is 58, the sample mean is…
A:
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: Benzene is a pollutant that, according to studies, can be associated with health problems. Benzene…
A: Formula :
Q: The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the…
A: We have given that Population proportion p=1%=0.01 Sample size n =4400
Q: According to World Health Organization (WHO), the recommended limit for a noise level inside a…
A: The formula of correlation is,
Q: Fifteen inbred laboratory rats (Rattus norvegi-cus) were randomly assigned to three groups of five…
A: given Fifteen inbred laboratory rats (Rattus norvegi-cus) were randomly assigned to three groups of…
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 sample of 145 matched pairs of banks was formed in a study comparing banks in Turkey and Germany.…
A: Given: n=145Sample mean difference d¯=0.0506Sample standard deviation of differences s=0.3039 Let X…
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: According to a census company, 7.1% of all babies born are of low birth weight. An obstetrician…
A: Here we conduct Z test for proprtion.
Q: If a part is within the specified tolerance limits for height, what is the probability that it will…
A: Let L,W and H be the events that the length, width and height respectively are with in the specified…
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: 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: 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: 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,
Q: Carry out a hypothesis test for a significant difference between the two population proportions, at…
A:
Q: Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a…
A: The data shows the percentage of saturated fat for a sample of 6 brands of stick margarine (solid…
Q: An army that overhauls ground mobile radar systems is interested in improving its processes. One…
A: The question is about identifying tests Introduction : Tail of test : 1 ) If alternative hypo. has…
Q: In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each…
A: Given data x¯x-x¯y = 0.0579sx-y= 0.3086two sided alternative hypothesisnull hypothesis : means are…
Step by step
Solved in 3 steps with 4 images
- 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…In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. The test statistic is t = 2.236. (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)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.c and d pleaseThe 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 = II
- PETROGAS 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
