A special close-tolerance retaining was manufactured for the space shuttle space craft. The machine which produced the ring has a defective rate of 8%. If the 50 rings were made, determine the chance of observing less than 2 defectives in sample of 8.
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- Consider a sample data with x=25 and s=2. Compute a chebyshev’s interval for which at least 89% of the data will lie?90%At the car production plant, the revision of 3850 units is carried out. The manager decides to conduct a lot inspection by means of a sample. He wants his study to be 98% confident and decides to allow a 5% error. Calculate the sample size to inspect a lot when: a. It starts and has never reviewed a batch so it does not haveprevious informationb. Several reviews of batches of the same size have been carried out and a positive variability of 0.75 has been obtained
- Please answer these questions thanksA certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm. What are the appropriate null and alternative hypotheses? Group of answer choices H 0: x̄ = 250 vs. H a: x̄ < 250 H 0: x̄ = 250 vs. H a: x̄ ≠ 250 H 0: x̄ = 250 vs. H a: x̄ > 250 H 0: μ = 250 vs. H a:μ < 250 H 0: μ = 250 vs. H a: μ ≠ 250 H 0: μ = 250 vs. H a: μ > 250A cigarette manufacturer claims that his cigarettes have nicotine content that does not exceed 2.0 milligrams. If a random sample of 10 cigarettes of this type have nicotine contents of 2.0, 2.3 1.7, 2.2, 1.9, 2.2, 2.0, 2.5, 2.1 and 1.9 milligrams, would you agree with the manufacturer's claim? a = 0.05. What is the correct set of hypotheses to test this claim? (Α) H0: μ 2.0 Β) H0:μ2.0; H1: μ # 2.0 c) HO:µ > 2.0; H1: µ 2.0
- The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.At 60 airports within a region, the temperature is recorded. The average temperature is 67°F, with a 5°F standard deviation. What is the z-score for 68°F?Which is 65% of 35?
- The average speed of 64 random cars traveling on a certain highway was 80 km/h and the sample standard deviation was 20 km/h. What is the margin of error with a 98% level of confidence for the population average speed? Select one: а. 1.295 b. 2.387 C. 6.64 d. 3.2375 е. 2.656 f. 5.9675Jane measures the age of death of 4 strains of mice using 40 male mice per strain, with 20 mice from each strain on a high protein diet and the other 20 mice on a high fat diet. What is the N (the number of independent observations) in this experiment? Draw the experimental design table.Maddie has two different routes that she can take to get to school. The first route is a longer distance, but has no traffic lights. The second route is a shorter distance, but has a lot of traffic lights. The amount of time it takes to get to school by the "longer distance" route follows a Normal distribution with mean 20 minutes and standard deviation o = 1.5 mirutes. The amount of time it takes to get to school by the "shorter distance" route follows a Normal distribution with mean =17 minutes and standard deviation a = 6.5 minutes. Suppose we select independent random samples of 20 days for each route. Let XL-Xs be the đifference in the sample mean travel time for the two routes %3D %3D (a) Calculate the probability that the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance. (b) Should we be surprised if the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance?