9) If the average yield of a dunum of yellow corn is 800 kg, with a standard deviation of 40 kg, and assuming that the amount of the crop follows a normal distribution, the probability that a plant gives a crop between kg( 834 and 778) is: that, P(Z < 0.33) = 0.6293, P(Z < 0.85) = 0.8023 Note 0.7118 ( 0.3411 ( P(Z <0.55) = 0.7088 a) 0.5111 b) 0.1661
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- Suppose that an airline uses a seat width of 16.7 in. Assume that men have hip breadths that are normally distributed with a mean of 14.2 inches, and a standard deviation of 1in. Find the probability that if an individual man is randomly selected that his hip breadths will be greater than 16.7 in.A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Zo = - 1.65 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. B. O C. Fail to reject H- Fail to reject Ho Fail to reject Ho- Reject Ho Reject Ho Reject Ho Reject H,- -4A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 993 hours. This average is maintained by periodically testing random samples of 25 light bulbs. If the t-value falls between −t0.90 and t0.90, then the company will be satisfied that it is manufacturing acceptable light bulbs. For a random sample, the mean life span of the sample is 999 hours and the standard deviation is 23 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light bulbs? Explain. the company ___making acceptable light bulbs because t-value for the sample is t= and t0.90 = ( round two decimal places)
- A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1002 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the t-value falls between −t0.99 and t0.99, then the company will be satisfied that it is manufacturing acceptable light bulbs. For a random sample, the mean life span of the sample is 1015 hours and the standard deviation is 24 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light bulbs? Explain. the company (is/is not) making acceptable lightbulbs because the t-value is t=___ and t0.99= ___A certain brand of candies have a mean weight of 0.8627 g and a standard deviation of 0.0521. A sample of these candies came from a package containing 457 candies, and the package label stated that the net weight is 390.4 g. (If 390.4 = 0.8543 g for the net contents 457 every package has 457 candies, the mean weight of the candies must exceed to weigh at least 390.4 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8543 g. The probability is (Round to four decimal places as needed.) b. If 457 candies are randomly selected, find the probability that their mean weight is at least 0.8543 g. The probability that a sample of 457 candies will have a mean of 0.8543 g or greater is (Round to four decimal places as needed.) c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label? because the probability of getting a sample mean of 0.8543 g or greater when 457 candies are selected exceptionally…An elevator has a placard stating that the maximum capacity is 1968lb—12 passengers. So, 12 adult male passengers can have a mean weight of up to (1968/12)=164 pounds. If the elevator is loaded with12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 164 lb. (Assume that weights of males are normally distributed with a mean of 173 lb and a standard deviation of 30 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is ____. (Round to four decimal places as needed.) Does this elevator appear to be safe? A. No, 12 randomly selected people will never be under the weight limit. B. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity. C. Yes,12 randomly selected adult male passengers will always be under the weight limit. D. No, there is a good chance that 12 randomly selected adult male passengers will exceed the…
- X is a normally distributed random variable with a mean of 5.00 and a standard deviation of 11.39. If the right area is 0.4716 then what is the value of X?Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74,500 miles and a standard deviation of o miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust o during the production process, but the adjustment of o is quite costly. The manufacturer wants to set ở once and for all so that only 1% of the tires will fail before warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. | miles Check esc -> @ 23 24 4. 5 6 1 2 y e tab w/3. Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a mean of µ=1.03 and a standard deviation of o=0.02 kg. a) What is the probability that any tea box will weigh less than 1 kg? b) What is the probability that any tea box will weigh higher than 1,06 kg?
- The standard deviation of daily returns of a stock’s price is used as a measure of the risk of that stock. Suppose that in a sample of 101 days, the standard deviation of a particular stock is 1. 15%. a) In the past, the standard deviation of the daily returns of this stock has been 1.56%. Test the hypothesis at the 1% level of significance that the standard deviation has decreased from its previous level.Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74.000 miles and a standard deviation ofo miles. These tires come with a 65,000-mile warranty. The manufacturer of the tires can adjust o during the production process, but the adjustment of o is quite costly. The manufacturer wants to set o once and for all so that only 2% of the tires will fail before warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. | milesLet X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer. Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.3. Round all answers to 4 decimal places and 3 = b) What is the probability that data transfer time exceeds 49 ms? a) What are the values of a = ? c) What is the probability that the data transfer time is between 49 and 67 ms?