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- 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 13 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 α = 0.05, find the value of zcalc? Please report your answer upto 2 decimal places.A company manufactures microwave ovens. In February, a random sample of 50 microwave ovens were inspected, and 4 were found to be defective. The company manufactured 3,200 microwave ovens in February. Based on the results from the sample, about how many microwave ovens are expected to be defective? 63 microwavFrom a population of 10K units a sample of two hundred and fifty was selected for a routine check. Among the units of the sample ninety one had at least one micro defect. Find an estimate for the proportion of units with at least one defect.
- What is the formula for number of possible samples of size n out of N population size in SRSWOR & SRSWRA research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? 1. Let p be the population proportion of successes, where a success is an adult in the country who wouuld travel into space on a commercial flight if they could afford it. State the H0 and the Ha. 2. Identify the standardized statistic and round 2 decimals if needed. 3. Identify the p value. 4. Decide whether to reject or fail to reject the null hypothesis adn interpret the decision in the context of the original claim. (Reject or fail to reject) the null hypothesis. There (is or is not) enough evidence to (reject or support) the researcher's claim.A consumer testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 n y s Miles Driven 25 27 35 42 28 37 40 31 29 33 30 26 31 28 30 15 31.47 5.04 a. Place a 99% confidence interval on the average number of miles driven, m, prior to the tires wearing out. b. Is there significant evidence (a 5 .01) that the manufacturer’s claim is false? What is the level of significance of your test? Interpret your findings.
- A consumer-testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car Miles Driven 1 25 2 27 3 35 4 42 5 28 6 37 7 40 8 31 9 29 10 33 11 30 12 26 13 31 14 28 15 30 Average 31.47 Standard 5.04 Agency would like to know if the manufacturer’s claim is false. Carryout an appropriate hypothesis test (use 1% significance level). Check any assumptions you think are relevant before doing the text.An urn contains 30 red balls and 70 green balls. What is the probability of getting exactly k red balls ina sample of size 20 if sampling is done with replacement. How does your solution change when sampling without replacement. Assume 0 ≤ k ≤ 20.To generate a bootstrap sample from a base sample of size 10, what is the number of total possibilities for the bootstrap sample? Impossible to determine 10⋅10 10^10 10
- A manufacturing company claims that the average lifetime of their incandescent lamps is 1300 hours. A random sample of 16 lamps are tested, and their lifetimes, in hours, are shown below:Male penguins that weigh more than 4710 grams are considered "desirable" because the extra fat means they can babysit the couple's eggs without needing to wander off in search of food. In a random sample of 900 male penguins, how many would we expect to be considered "desirable"?When a man observed a sobriety checkpoint conducted by a police department, he saw 672 drivers were screened and 6 were arrested for driving while intoxocated Based on those results, we can estimate that P(w)=0.00893, where W denotes the event of screening a driver and getting someone who is intoxicated What does P(W) denote, and what is its value?