and a standard deviation of 1.3 degrees Celsius.
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- A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.5. Complete parts a through c below.Question content area bottomPart 1a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.The percentage of women who meet the height requirement is enter your response here%.(Round to two decimal places as needed.)Part 2b. Find the percentage of men meeting the height requirement.The percentage of men who meet the height requirement is enter your response here%. (Round to two decimal places as needed.)Part 3c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements? The new height requirements are…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 193 Ib and a standard deviation of 37 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…
- A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is______ B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…A distance is measured six times. The observed values are 572.182 m, 572.140 m, 572.103 m, 572.160 m, 572.125 m, and 572.155 m. All measurements are uncorrelated and their standard deviations are 0.030 m, 0.030 m, 0.030 m, 0.020 m, 0.020 m, and 0.010 m, respectively. Find the least squares estimate for the distance. Use matrices and R in the solution. Write the R commands involved.Calculate the standard deviation of the data shown. Use technology x 27.6 2.6 13.2 8.3 8.9 3.3 Round to 2 places
- The weights of a certain machine components are normally distributed with a mean of 8.85g and a standard deviation of 0.08g. Find the two weights that seperate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram. Draw a picture. Use Table A-2.A population of adults males heights distributed as approximately normal with mean 69 inches and a standard deviation of 3.5 inches. Ralph is 5 feet and 7 inches tall (67 inches). What proportion of the population is taller than he?A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 194 lb and a standard deviation of 42 Ib. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 Ib, which is the…
- The average weight of a certain car after production is 3000 pounds with a standard deviation of 400 pounds. Cars in the upper 6% of the weight class have to be inspected again before being sold. At what weight do the cars have to start being inspected? Round to the nearest pound.See picture for question. Explaination: Eureka is a weather station in the state of California and Essex is a weather station in the state of Massachusetts. On one summer day, the noontime temperatures recorded among weather stations in California had a population mean of 29.9° Celsius and a standard deviation of 1.1° Celsius. On that same day, the noontime temperatures among weather stations in Massachusetts had a population mean of 39.2° Celsius and a standard deviation of 4.4° Celsius. On the summer day, each state's distribution of noontime temperatures among its weather stations was clearly bell-shaped. At the Eureka weather station, the noontime temperature on the summer day was 27° Celsius, and the noontime temperature at Essex was 24° Celsius.A study determined that the average student who graduates takes 58 months to graduate from college with a bachelor's degree and a standard deviation of 10 months. The distribution was approximately normal. What percentage of college graduates will take longer than 4 years (48 months)? 34.1% 34.1% 13.6% 15.6% 83% 23 15.9% 47.7% O84.1% 97.7% 56°F Clou