Passengers died when a particular water taxi sank. Men are typically heavier than women and​ children, so when loading a water​ taxi, assume a​ worst-case scenario in which all passengers are men. Assume that weights of men are normally distributed with a mean of 209 lb and a standard deviation of 43lb. The water taxi that sank had a stated capacity of 25 ​passengers, and the boat was rated for a load limit of 4000 lb.    a. Given that the water taxi that sank was rated for a load limit of 4000 ​lb, what is the maximum mean weight of the passengers if the boat is filled to the stated capacity of 25 passengers? The maximum mean weight is nothing lb.

The weights of an adult female population of killer whales are approximately normally distributed with a mean of 18,000 pounds and a standard deviation of 4,000 pounds. The weights of an adult male population of killer whales are approximately normally distributed with a mean of 30,000 pounds and a standard deviation of 6,000 pounds. A certain adult male killer whale weighs 24,000 pounds. This adult male would have the same z-score weight as a female killer whale whose weight, in kilograms, is equal to which of the following? Select one:   1. 24,000 2. 30,000   3. 36,000 4. 21,000 5. 14,000

Español A r.able indicator of a baby's health is the weight gained in the fir year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 3.454 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you…

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 247 261 269 273 275 280 282 282 284 285 285 287 290 292 293 296 296 299 311 507 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) C OB. There are no outliers.

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…

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