Assume that military aircraft use ejection seats designed for men weighing between 134.3 lb and 200 lb. If​ women's weights are normally distributed with a mean of 177.3 lb and a standard deviation of 41.9 ​lb, what percentage of women have weights that are within those​ limits?

The heights of children ages 3-5 are approximately normally distributed with a mean of 40 inches and a standard deviation of 2.5 inches. What percent of children are between 39 and 42 inches?

If a set of sample measurements has a mean of 100, a normal distribution, a standard deviation of 2, and control limits of 94 and 106, what percentage of the samples are expected to be between 94 and 106? Explain your answer.

An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills.  The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.

the height of American men is normally distributed with a mean of 70 in and a standard deviation of 3 in. what are the heights in inches that define the most extreme 8% of the population of American men?