Suppose the mean height of Grade 11 male students in a certain school is 170 cm, and that the heights a distributed. The standard deviation of 4 cm. What is the probability that the mean height of a random sa students willI be between 168- 172 cm? O 0.9363 O 9544
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- Assume that adults have IQ scores that are normally distributed with a mean of 104 and a standard deviation of 15.7.Find the probability that a randomly selected adult has an IQ greater than 127.5. The probability that a randomly selected adult from this group has an IQ greater than 127.5 is _______.A company produces steel rods. The length of the steel rods are normally distributed with a mean of 246.5 cm and a standard deviation of 1.3 cm. For shipment, 39 steel rods are bundled together. Round all answers to four decimal places if necessary. For a single randomly selected steelnrod, find the probability that the length is between 246.2cm and 246.5 cm. For a bundled of 39 rods, find the probability that the average length is between 246.2cm and 246.5 cm.Suppose that an airline uses a seat width of 17.1in. Assume men have hip breadths that are normally distributed with a mean of 14.8in. and a standard deviation of 0.9in. Find the probability that if an individual man is randomly selected, his hip breadth will be greater than 17.1in. The probability is
- Assume the readings on thermometers are normally distributed with a mean of 0degrees°C and a standard deviation of 1.00degrees°C. Find the probability that a randomly selected thermometer reads greater than negative 0.17An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28 = 154 pounds. Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 34 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 154 Ib. b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 Ib. c. What do you conclude about the safety of this elevator? weight greater than 154 Ib is a. The probability that 1 randomly selected adult male has (Round to four decimal places as needed.) b. The probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 Ib isMales in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm. a. What is the probability that a Dutch male is shorter than 175 cm (to 4 decimals)? b. What is the probability that a Dutch male is taller than 195 cm (to 4 decimals)? c. What is the probability that a Dutch male is between 173 and 193 cm (to 4 decimals)? d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm (rounded to the nearest whole number)?
- Women have head circumferences that are normally distributed with a mean of 22.06 in and a standard deviation of 18 in. Use the appropriate z-score table when necessary. If 5 women are randomly selected, what is the probability that their mean head circumference is less than 214 in?Suppose that an airline has a requirement that male members of the cabin crew are between 62 inches and 73 inches tall. Assume that men have normally distributed heights, with a population mean height of 69 inches, and population standard deviation of 2.4 inches. What is the probability that a randomly chosen man will be too short (shorter than 62 inches) or too tall (taller than 73 inches) to be a member of the cabin crew for this airline?Assume the random variable has a mean of 30 and a standard deviation of 6. Consider taking repeated random samples of 30 observations from the random variable and calculating the mean, , for each sample. Calculate the probability that is between than 28 and 31.
- Let xx represent the full height of certain species of tree. Assume that xx is normally distributed with a mean of 140.3 feet and a standard deviation of 6.5 feet.Find the probability that the full height of a randomly selected tree is less than 146.8 feet. Enter your answer as a number accurate to 4 decimal places.An elevator has a placard stating that the maximum capacity is 3900 lb-26 passengers. So, 26 adult male com passengers can have a mean weight of up to 3900/26= 150 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 150 lb. c. What do you conclude about the safety of this elevator? *** a. The probability that 1 randomly selected adult male has a weight greater than 150 lb is 0.5319 (Round to four decimal places as needed.)An elevator has a placard stating that the maximum capacity is 3800 Ib-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/ 26 = 146 pounds. Assume that weights of males are normally distributed with a mean of 182 Ib and a standard deviation of 40 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 146 lb is (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. B. Yes, because there is a…