A manufacturer of automobile headlights claims that 10% of a batch of these headlights are defective. A quality control inspector tests a random selection of 300 headlights in the batch. The number of defective headlights in this random sample is 35, which is more than expected. Estimate the probability of getting at least 35 defective lights in a random sample of 300. Based on the result, does it appear that the manufacturer’s claim of 10% defectiveness is accurate? Was there a problem with the sample? What is the probability of it? Is the claim usual or unsual?
Please show all steps and formulas used.
A manufacturer of automobile headlights claims that 10% of a batch of these headlights are defective....
The quality-control inspector of a production plant will reject a batch of automobile batteries if three or more defectives are found in a random sample of eleven batteries taken from the batch. Suppose the batch contains 7% defective batteries. What is the probability that the batch will be accepted?
A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 100 such fax machines, 5% are defective. Find the P-value for testing the manufacturer's claim. a.0.34 b.0.33 c.0.06 d.0.16 e.0.17
A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality control inspector takes a random sample of 150 nuts from the latest batch. Test the company’s claim at significance level 0.05. (Goodness-of-fit). Nut Cashew Almond Macadamia Brazil Count 83 29 20 18
A manufacturer of golf balls uses a production process that produces 10 percent defective balls. A quality inspector takes samples of a week's output with replacement. Using the cumulative binomial probability table available in your text, the inspector can determine which of the following probabilities? a. If 15 units are inspected, the probability of at least 10 of these units being defective is .547. b. If 10 units are inspected, the probability of 5 or 6 of these units being...
3. A semiconductor manufacturer produces controller used in automobile engine applications. The customer requires that the process fallout or fraction defective at a critical manufacturing step not exceed 0.05 and that the manufacturer demonstrate process capability at this level of quality using a 0.05. The semiconductor manufacturer takes a random sample of 200 devices and finds that four of them are defective. Can you check the (3 points) manufacturer claim?
A batch of 30 intrinsic semiconductors contains 10% defective parts. A sample of 10 is drawn at random. X = the number of defective parts in the sample. Determine the probability in the sample (X).
A manufacturer of metal pistons claims that on average, about 10% of their pistons are defective (either oversize or undersize). This month, there are 100,000 pistons produced. The quality control staffs randomly selected 150 pistons to examine the size, and 20 pistons are found to defective? (No points will be given without proper steps) (1) (1pt) If we define variable x = number of defective pistons out of the 150 pistons selected, what distribution does x follow? (2) (1pt) Check...
An automobile insurer has found that repair claims are Normally distributed with a mean of $890 and a standard deviation of $850. (a) Find the probability that a single claim, chosen at random, will be less than $840. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $840. ANSWER: (c) If a sample larger...
An automobile insurer has found that repair claims are Normally distributed with a mean of $580 and a standard deviation of $530. (a) Find the probability that a single claim, chosen at random, will be less than $560. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $560. ANSWER: (c) If a sample larger...
A brake pad manufacturer claims its brake pads will last for 38,000 miles. You work for a consumer protection agency and you are testing this manufacturer’s brake pads. Assume the life spans of the brake pads are normally distributed. You randomly select 50 brake pads. In your tests, the mean life of the brake pads is 37,650 miles. Assuming that σ = 1000 miles and that the manufacturer’s claim is correct, what is the probability that the mean of the...