State, with reasons, which of the standard distributions might serve as models for: i. The number of particles emitted in 10 second intervals by a sample of radioactive material. ii. The number of times individuals take their driving test before passing. Indicate which conditions supporting the distribution may not be satisfied in each case.
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- A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 182 lb and a standard deviation of 36 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.)Consider two normal distributions, one with mean -8 and standard deviation 14, the other with mean 11 and standard deviation 14. Answer the following statements using true or false. a) The two distributions have the same shape. answer: b) The two distributions are centered at the same place. answer:B5. Two independent samples from normally distributed populations have values {2, 5, 4, 1} for sample 1, and {2,3, 2, 2, 4} for sample 2. Test at the 1% level H9: of = o, H;: of > o3. As part of your answer, state an appropriate test statistic and its distribution under Ho. Hint: You may need to use one of these percentiles, F3,4(1%) = 16.694, F43(1%) = 28.710, F3,4(0.5%) = 24.259, F13(0.5%) = 46.195. %3D !! %3D
- explains the process :)A survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 3.3 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 62in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is nothing %.A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9,100 lb). After the boat sank, the assumed mean weight for similar boats was changed from 130 lb to 175 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 180.7 Ib and a standard deviation of 35.5 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 130 lb. The probability is 1. (Round to four decimal places as needed.) b. The boat was later rated to carry only 15 passengers, and the load limit was changed to 2,625 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,625 lb). The probability is (Round to four decimal places as…
- Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 13 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.20 gram. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.06 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) ____________ hummingbirdsA survey found that women's heights are normally distributed with mean 62.7 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.4 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 5.08 %. (Round to two decimal places as needed.) Since most men do not meet the height requirement, it is likely that most of the characters are women. b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of (Round to…A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.5 in. The survey also found that men's heights are hormally distributed with mean 68.3 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at he amusement park? The percentage of men who meet the height requirement is %. Round to two decimal places as needed.)
- A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…If a point on a control chart falls outside one of the control limits, this suggests that the process variation is random and should not be investigated. O a. TRUE O b. FALSE PAGE NEXT PAGE ype here to search 99+ SUSA survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 69.8 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is: