Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 14.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables.
Q: An elevator has a placard stating that the maximum capacity is 2400 lb-15 passengers. So, 15 adult…
A: Solution-: Given: μ=170,σ=33 The maximum capacity an elevator is 2400 lb -15 passengers. 15 adult…
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Q: An elevator has a placard stating that the maximum capacity is 1272 lb—8 passengers. So, 8 adult…
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A: Given information: For comuter 1n1=8x1=79s1=18For computer 2n2=11x2=60s2=15α=0.05
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Q: An elevator has a placard stating that the maximum capacity is 1376 lb—8 passengers. So, 8 adult…
A: Given Information: Sample size n=8 Assume that weights of males are normally distributed with a mean…
Q: An elevator has a placard stating that the maximum capacity is 2670 lb-15 passengers. So, 15 adult…
A: Given: μ = 180 σ = 27 Formula Used: Z = X-μσ
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Q: n elevator has a placard stating that the maximum capacity is 1630 lb—10 passengers. So, 10 adult…
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Q: A manufacturer claims that the mean lifetime, u, of its light bulbs is 42 months. The standard…
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Q: An elevator has a placard stating that the maximum capacity is 2595 lb—15 passengers. So, 15 adult…
A: Formula : z = (x̄ - μₓ̄ )/σₓ̄
Q: An elevator has a placard stating that the maXimum capacity is 1256 ib-8 passengers. So, 1256/8 =…
A: Given that The lift get overloaded if mean weight greater than 157 Pounds for 8 passengers. The…
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Q: The probability the elevator is overloaded is (Round to four decimal places as needed.)
A: It is given that Mean, μ = 179 lb Standard deviation, σ = 33 lb Sample size, n = 8 Z-Score, Z = ( X…
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A: μ1 = Mean for sample 1μ2 = Mean for smaple 2
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Q: An elevator has a placard stating that the maximum capacity is 1660 lb—10 passengers. So, 10 adult…
A: Given information- Population mean, µ = 171 lb Population standard deviation, σ = 26 lb Let, X be…
Q: An elevator has a placard stating that the maximum capacity is 2016 lb-12 passengers. So, 12 adult…
A: Given,Sample size, n = 12Sample mean, = 168 lbPopulation mean, μ = 172 lbPopulation standard…
Q: An elevator has a placard stating that the maximum capacity is 2610 lb—15 passengers. So, 15 adult…
A: Given information: Maximum capacity of an elevator = 2610 lb Number of passengers n=15 Mean weight…
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Q: An elevator has a placard stating that the maximum capacity is 2430 lb-15 passengers. So, 15 adult…
A: μ = 171 , σ= 32 , n=15z =x -μσn ∧ N (0,1)
Q: An elevator has a placard stating that the maximum capacity is 2004 Ib-12 passengers. So, 12 adult…
A: The mean weight of 12 adults will follow normal distribution with parameters as:
Q: An elevator has a placard stating that the maximum capacity is 1280 lb-8 passengers. So, 8 adult…
A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…
Q: An elevator has a placard stating that the maximum capacity is 2325 lb-15 passengers. So, 15 adult…
A: Let "M" be the mean weight of adult male passengers.
Q: An elevator has a placard stating that the maximum capacity is 1272 lb—8 passengers. So, 8 adult…
A: Assume that weights of males are normally distributed.
Q: An elevator has a placard stating that the maximum capacity is 1860 lb-12 passengers. So, 12 adult…
A: Sampling distribution of sample mean:The sample mean of a random variable X has a sampling…
Q: An elevator has a placard stating that the maximum capacity is 1360 lb- or 8 passengers. So, if 8…
A:
Q: A manufacturer claims that the mean lifetime, u, of its light bulbs is 45 months. The standard…
A: The null hypothesis is, The alternative hypothesis is, Significance level, α=0.01 The type of…
Q: 1280 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1280/8=160…
A: Given a mean of 167 lb and a standard deviation of 34 lb.
Q: An elevator has a placard stating that the maximum capacity is 2016 lb—12 passengers. So, 12 adult…
A: It is given that the mean is 174 lb and the standard deviation is 25 lb.
Q: An elevator has a placard stating that the maximum capacity is 1660 lb-10 passengers. So, 10 adult…
A: Given Information: Sample size n=10 Mean μ=176 Standard deviation σ=33 To find the probability that…
Q: An elevator has a placard stating that the maximum capacity is 1630 lb—10 passengers. So, 10 adult…
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Q: A manufacturer claims that the mean lifetime, u, of its light bulbs is 44 months. The standard…
A: Solution
Q: An elevator has a placard stating that the maximum capacity is 2490 lb-15 passengers. So, 15 adult…
A: Let "" be the mean weight of the elevator.
Q: An elevator has a placard stating that the maximum capacity is 1360 lb—8 passengers. So, 8 adult…
A: From the above question we observe that, mean ,μ=180 lb standard deviation,σ =32 lb. We use the…
Suppose the force acting on a column that helps to support a building is a
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by Bartleby Expert- An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 10 processing times from computer 1 showed a mean of 51 seconds with a standard deviation of 20 seconds, while a random sample of 9 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 60 seconds with a standard deviation of 15 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.01 level of significance, that the mean processing time of computer 1, μ1, is less than the mean processing time of computer 2, μ2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)An elevator has a placard stating that the maximum capacity is 1610 lb—10 passengers. So, 10 adult male passengers can have a mean weight of up to 1610/10=161 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 25 lb.) Does this elevator appear to be safe? Question content area bottom Part 1 The probability the elevator is overloaded is enter your response here. (Round to four decimal places as needed.)
- An elevator has a placard stating that the maximum capacity is 1630 lb—10 passengers. So,10 adult male passengers can have a mean weight of up to 1630/10=163 pounds.If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 163 lb. (Assume that weights of males are normally distributed with a mean of 170 lb and a standard deviation of 29 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is.An elevator has a placard stating that the maximum capacity is 2430 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2430/15=162 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 162 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe?A worn, poorly set up machine is observed to produce components whose lengthX follows a normal distribution with mean 13.4 centimeters and variance 5.6. Calculate the probability that a component is at least 15 centimeters long.
- A manufacturer claims that the mean lifetime, u, of its light bulbs is 44 months. The standard deviation of these lifetimes is 7 months. Twenty-three bulbs are selected at random, and their mean lifetime is found to be 48 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 44 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v O=0 OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) OAn elevator has a placard stating that the maximum capacity is 2535 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2535/ 15=169 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 169 lb. (Assume that weights of males are normally distributed with a mean of 175 lb and a standard deviation of 26 lb.) Does this elevator appear to be safe? 1. The probability the elevator is overloaded is ________ (Round to four decimal places as needed.)A manufacturer claims that the mean lifetime, u, of its light bulbs is 42 months. The standard deviation of these lifetimes is 6 months. Twenty-seven bulbs are selected at random, and their mean lifetime is found to be 41 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 42 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. p H, :0 H, :0 (b) Determine the type of test statistic to use. D=D OSO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) Dand (e) Can we conclude that the mean lifetime of…An elevator has a placard stating that the maximum capacity is 2385 Ib-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2385/ 15 = 159 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 159 lb. (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 27 Ib.) Does this elevator appear to be safe?The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 11 processing times from computer 1 showed a mean of 35 seconds with a standard deviation of 20 seconds, while a random sample of 7 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 58 seconds with a standard deviation of 18 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.1 level of significance, that the mean processing time of computer 1, μ1, differs from the mean processing time of computer 2, μ2?Perform a two-tailed test. 1.The null hypothesis: 2.The alternative hypothesis: 3.The value of the test statistic:(Round to at least three decimal places.) 4.The p-value:(Round to at least three decimal places.)The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 78 seconds with a standard deviation of 17 seconds, while a random sample of 12 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 65 seconds with a standard deviation of 16 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.10 level of significance, that the mean processing time of computer 1, μ1, is greater than the mean processing time of computer 2, μ2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. a. State the null hypothesis H0 and the…
