Statistics

3. The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days and a standard deviation of 14 days. In what range would you expect to find the middle 68% of most pregnancies? Between and If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 68% of most averages for the lengths of pregnancies in the sample? Between and 4. The time required to assemble a single Play Station 5 is approximately normally distributed with p=16.37 minutes and o=1.4 minutes. A random sample of 18 Play Station 5 assembly times is selected. 5. The annual rainfall in a certain region is approximately normally distributed with mean 41.3 inches and standard deviation 5.6 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 44 inches? 96 b) What percentage of years will have an annual rainfall of more than 39 Inches? 16 c) What percentage of years will have an annual rainfall of between 37 inches and 42 inches? 6. Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 74 inches tall. {to 2 decimal places} 7. For a standard normal distribution, find: H: > 1.65) 8. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00'C. A single thermometer is randomly selected and tested. Find Pm, the 30-percentile. This is the temperature reading separating the bottom 30% from the top 70%. Pm: 0C 9. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00'C. A single thermometer is randomly selected and tested. Find P39, the 39-percentile. This is the temperature reading separating the bottom 39% from the top 61%. P\" = "C 10. For a standard normal distribution, given: P(z