Benson Manufacturing is evaluating the quality of electronic components from three suppliers by examining the proportion of defective units. Each supplier sent a sample of 500 components. The results are as follows:- Supplier A: 15 defective, 485 good- Supplier B: 20 defective, 480 good- Supplier C: 40 defective, 460 good**Hypothesis Testing:**a. **Formulation of Hypotheses:** - Null Hypothesis (H₀): All population proportions are equal. - Alternative Hypothesis (Hₐ): Not all population proportions are equal.b. **Conducting the Hypothesis Test:** - Significance level (α): 0.05 - Result: The p-value is less than or equal to 0.05. - Conclusion: The three suppliers do not provide equal proportions of defective components.c. **Multiple Comparison Test:** - This test determines if one supplier can be eliminated due to poor quality. The differences between proportions, critical values, and their significance are assessed but require further calculations specified as rounding absolute differences to two decimal places and the critical value to four decimal places.The related table for comparisons, differences, and significance calculations is present but not yet completed.

From the given information, There are 3 columns and 2 rows. df=(number or rows-1)*(number of…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .05 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 320 347 456 277 294 281 540 749 Employee 310 347 480 287 310 295 560 775 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. multiple choice 1 H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .05 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or…
10. Blood Types Human blood is grouped into fourtypes: A, B, AB, and O. The percents of Americans with each type are as follows: O, 43%; A, 40%; B, 12%; and AB, 5%. At a recent blood drive at a large university, the donors were classified as shown below. At the 0.05 level of significance, is there sufficient evidence to conclude that the proportions differ from those stated above?O A B AB60 65 15 10
A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 328 350 455 278 290 285 535 745 Employee 318 345 470 285 310 280 525 765 a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or tcalc > . (c-1) Find the test statistic tcalc.…
If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-two Percent of People on High-Risk Coast Will Refuse Evacuation Order, Survey of Hurricane Preparedness Finds." This headline was based on a survey of 4,625 adults who live within 20 miles of the coast in high hurricane risk counties of eight southern states. In selecting the sample, care was taken to ensure that the sample would be representative of the population of coastal residents in these states. In USE SALT (a) Use this information to estimate the proportion of coastal residents who would evacuate using a 98% confidence interval. (Round your answers to three decimal places.) (b) Write a few sentences interpreting the interval and the confidence level associated with the interval. We are % confident that the proportion of all coastal residents who -Select-- v evacuate is within the confidence interval. If we were to take a large number of random samples of size 4,625, % of the…
4. Two people are arguing about the size of different breeds of dogs. One believes that German shepherds are larger than huskies, while the other person believes the opposite is true. They conduct a study to see which one of them is correct. They sample the weights of ten dogs of each breed. The data are as follows: German Shepherds: 55, 72, 61, 43, 59, 70, 67, 49, 55, 63 Huskies: 48, 77, 46, 51, 60, 44, 53, 61, 52, 41 (a) Should a one-tailed or two-tailed test be conducted? Why? (b) Conduct the appropriate test with alpha = 0.05. Which breed is larger or are they the same?
The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Q Women who agree Women who disagree Gender of Interviewer Man 555 345 Woman 318 82 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H₁: The proportions are different. B. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H₁: The proportions are the same. OC. Ho: The response of the subject and the gender of the subject are…
A report described a survey of parents of children under the age of 18. Each person in a representative sample of 838 working fathers and a sample of 595 working mothers was asked if balancing the responsibilities of a job and a family was difficult. It was reported that 437 of the fathers surveyed and 364 of the mothers surveyed said that it was difficult. The two samples were independently selected and were thought to be representative of working fathers and mothers of children under 18 years old. USE SALT Use this information to calculate a 95% confidence interval estimate of the difference between the proportion of working fathers who find balancing work and family difficult, p₁, and this proportion for working mothers, P2. (Use a statistical computer package to calculate the P-value. Use P₁ - P₂. Round your answers to three decimal places.) to Interpret the interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work…
A local bus company is planning a new route to serve four housing subdivisions. Random samples of households are taken from each subdivision, and sample members are asked to rate, on a scale of 1 (strongly opposed) to 5 (strongly in favor), their reaction to the proposed service. The results are summarized in the accompanying table. Subdivision 1 Subdivision 2 Subdivision 3 Subdivision 4Ni 240 190 350 280ni 40 40 40 40x̄i 2.5 3.6 3.9 2.8si 0.8 0.9 1.2 0.7a. Find a 90% confidence interval for the mean reaction of households in subdivision 1.b. Using an unbiased estimation procedure, estimate the mean reaction of all households to be served by the new route. c. Find 90% and 95% confidence intervals…
Find the estimate and the associated variance estimate for the population parameters in each of the following situation: a. Proportion of managers who like the policy. b. Proportion of clerical workers who like the policy. c. Proportion of wage earners who like the policy. 2 d. Difference between the proportion of managers who like the policy and the proportion of managers who dislike the policy.
When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)
A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 330 345 452 270 298 286 537 744 Employee 317 350 473 280 307 283 523 769 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. multiple choice 1 H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or…
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 /…

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