Two different types of injection-moulding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discoloured. Two random samples, each of size 300, are selected, and 14 defective parts are found in the sample from machine 1, and 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same fraction of defective parts, using a = 0.05, find the %3D value of zcalc? Please report your answer upto 2 decimal places.
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- In August and September 2005 , Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 350 residents of Orleans Parish who had participated in the cleaning of one or more homes, 50 had experienced symptoms of wheezing, and in a sample of 176 residents who had not participated in the cleaning, 42 reported wheezing symptoms (numbers read from a graph). Can you conclude that there is a difference between the proportion of residents with wheezing symptoms who cleaned flood-damaged homes and those who did not participate in the cleaning? Let p1 denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes and p2 denote the proportion of…In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed; of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. An article reports that in a sample of 365 residents of Orleans Parish who had participated in the cleaning of one or more homes, 78 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the frequency of wheezing symptoms is greater among those residents who participated in the cleaning of flood-damaged homes? Find the P-value and state a conclusion. The P-value is . Round the answer to four decimal places. We (Click to select) can cannot conclude that the frequency of wheezing…In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed; of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. An article reports that in a sample of 365 residents of Orleans Parish who had participated in the cleaning of one or more homes, 78 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the frequency of wheezing symptoms is greater among those residents who participated in the cleaning of flood-damaged homes? Find the P-value and state a conclusion.
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- Toyota USA is studying the effect of regular versus high-octane gasoline on the fuel economy of its new high-performance, 3.5-liter, V6 engine. Ten executives are selected and asked to maintain records on the number of miles traveled per gallon of gas. The results are: Miles per Gallon Miles per Gallon Executive Regular High-Octane Executive Regular High-Octane Bowers 25 28 Rau 38 40 Demars 33 31 Greolke 29 29 Grasser 31 35 Burns 42 37 DeToto 45 44 Snow 41 44 Kleg 42 47 Lawless 30 44 b. State the decision rule. Use the 0.05 significance level. c. Compute the T value.A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 150 bags from the old machine and found that 15 percent of the bags were damaged, then selected a random sample of 200 bags from the new machine and found that 8 percent were damaged. Let pˆOp^O represent the sample proportion of bags packaged on the old machine that are damaged, pˆNp^N represent the sample proportion of bags packaged on the new machine that are damaged, pˆCp^C represent the combined proportion of damaged bags from both machines, and nOnO and nNnN represent the respective sample sizes for the old machine and new machine. Have the conditions for statistical inference for testing a difference in population proportions been met? No, the condition for independence has not been met, because random samples were not selected. A No, the…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…
- The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample of 80 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective chips. Let pA = the true proportion of defective chips from plant A and pB = the true proportion of defective chips from plant B. Which of the following is the correct P-value for the hypotheses, ?The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample of 80 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective chips. Let pA = the true proportion of defective chips from plant A and pB = the true proportion of defective chips from plant B. Which of the following is the correct standardized test statistic for the hypotheses, ?In a large class of introductory Statistics students, the professor has each person toss a coin 33 times and calculate the proportion of his or her tosses that were heads. Complete parts a through d below. a) Confirm that you can use a Normal model here. The Independence Assumption ▼ is not is satisfied because the sample proportions ▼ are are not independent of each other since one sample proportion ▼ does not affect can affect another sample proportion. The Success/Failure Condition ▼ is not is satisfied because np=nothing and nq=nothing, which are both ▼ less than greater than or equal to 10. (Type integers or decimals. Do not round.) b) Use the 68–95–99.7 Rule to describe the sampling distribution model. About 68% of the students should have proportions between nothing and nothing, about 95% between nothing and nothing, and about 99.7% between nothing and nothing. (Type integers or decimals rounded to four decimal…