According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes. a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be? 389 to 449 b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be? 359 to 479 c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be? 329 to 509 d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 361 and 477 minutes? % (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.) e. Suppose a worker spent 400 minutes on the job. What would that worker's z score be, and what would it tell the researcher? Z Score = (Round your answer to 3 decimal places.) This worker is in the lower half of workers but within + standard deviation of the mean. one

Suppose that the mean weight for men 18 to 24 years old is 170 pounds, and the standard deviation is 20 pounds. In each part, find the value of the standardized score (z-score) for the given weight. USE SALT (a) 206 pounds. Z = (b) 140 pounds. Z = (c) 173 pounds. Z = (d) 236 pounds. Z =

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 253 feet and a standard deviation of 45 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet? PP(fewer than 216 feet) = ______% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 246 feet? PP(more than 246 feet) = ________%

Suppose there are 5 students in a room. The mean age is 20.0 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? The mean either increases or stays the same, and the median increases. The median either increases or stays the same, and the mean increases. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same.