The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 days and a standard deviation of 9 days. (a) What is the minimum pregnancy length that can be in the top 9% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?
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- The pregnancy length (in days) for a population of new mothers can be approximated by anormal distribution, with a mean of 267 days and a standard deviation of 10 days. What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?A group of students has a mean age of 15.8 years with a standard deviation of 0.6 years. Assume the ages are normally distributed. What percentage of students are younger than 16.2 years, older than 15.7 years, and between 15 and 16 years old? Then, find what the cutoff value for the upper 10% of students is.The lifespan of a certain insect is believed to follow a normal distribution with a mean of98 days and a standard deviation of 1 week. Calculate the probability that an insect from this species will live for more than 84 days to 5 decimal places
- The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.5 million cells per microliter and a standard deviation of 0.4 million cells per microliter (a) What is the minimum red blood cell count that can be in the top 22% of counts? () What is the maximum red blood cell count that can be in the bottom 16% of counts?The mean growth of the thickness of trees in a forest is found to be .5 cm/year with a standard deviation of .1 cm/year. What is the z-score corresponding to 1 cm/year?Suppose that a researcher is interested in estimating the mean systolic blood pressure, μ , of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate μ . Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg, what is the minimum sample size needed for the researcher to be 95% confident that his estimate is within 3 mm Hg of μ ?
- The pregnancy length in days for a population of new mothers can be approximated by normal distribution with a mean of 264 days and a standard deviation of 12 days. A) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths? B) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?Suppose body temperature is normally distributed with mean of 98.30°F and a standard deviation of 0.76°F. Using these parameters, how often would you expect to measure a body temperature above 100°F?The mean age of a random sample of 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 years with a standard deviation of of 3.2 years. Can it be concluded at a=0.05 that the mean age of those playing the slot machines is less than those playing roulette?
- The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 264days and a standard deviation of 8 days. (a) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a standard deviation of 16 days. What proportion of all pregnancies will last between 240 and 270 days (roughly between 8 and 9 months)?The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 267 days and a standard deviation of 10 days. (a) What is the minimum pregnancy length that can be in the top9%of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom7%of pregnancy lengths?