The average birth weight for babies at a certain hospital is 6.98 pounds with a standard deviation of 0.52 pounds. Assume that the distribution of birth weights is normal. (a) What is the probability that a baby born at this hospital has a weight between 6.25 and 7.5 pounds? (b) What percentage of babies born weigh at least 8.25 pounds? (c) Unusually small babies are given special attention. If the hospital defines “unusually small” as having a birth weight below the fifth percentile, then what is the maximum birth weight that merits special attention?

The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. In a letter to an advice​ column, a wife claimed to have given birth 307 days after a brief visit from her​ husband, who was working in another country. Find the probability of a pregnancy lasting 307 days or longer. What does the result​ suggest? b. If the length of pregnancy is in the lowest 3​%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature.       a. The probability that a pregnancy will last 307 days or longer is enter your response here. ​(Round to four decimal places as​ needed.) What does the result​ suggest?     A. The result suggests that either a very rare event occurred or the husband is not the father.   B. The result suggests an uncommon but not significant event occurred.   C. The result suggests the event did not occur.   D. The result suggests that the…

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds

The annual income for a sample of 450 part-time students is normally distributed with a mean income of   $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000?

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds