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ENGR 320 Spring 2018 Test Number Two 1. 1. A distributor receives a large number of components. The distributor will tike to accept the shipment if 10% or fewer of the components are defective and to return it if more than 10% of the components are defective. She decides to sample 10 components and to return the shipment if more than 1 of the 10 is defective. If the proportion of defectives in the batch is in fact 10%, what is the probability that she will return the shipment? 2. Scores on a standardized test are approximately normally distributed with a mean of 450 and standard deviation of 80 a. What proportion of the scores are above 550 b. If someones score is 600, what percentile is the person on? c. What proportion of the scores are between 430 and 520 3. Am ong the adults in a large city, 30% have a college degree. A simple random sample of 100 adults is chosen. What is the probability that more than 35 of them have a college degree? 4. In a sample of 100 boxes, the average compressive strength was 6230 N and the standard deviation was 221 N. Find a 99% confidence interval for the mean compressive strength of the boxes An engineer claims that the mean strength is between 6205 and 6255 N. With what level o confidence can this statement be made? a. b. In a random sample of 150 households with an internet connection, 30 said that they have char a. Find a 99% confidence interval for the proportion of customers who changed their int ind the sample size needed for a 95% confidence interval to specify the proportion 5. their internet service provider within the past six months. service provider within the past six months b. F within + 0.05. Measurements are taken of the octane ratings for a particular type of gasoline. The results as follows: 87.0, 86.0, 86.5, 88.0, 85.3, 84.0. Find a 99% confidence interval for the mea rating for this type of gasoline. 6.

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