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 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 maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is. (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe? Since the probability of overloading is V the new capacity V to be safe enough.

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: Normal Distribution:The Normal Distribution is defined by the probability density  function for a…

Q: The average thickness of books on a library shelf is 8.3 centimeters. The standered deviation is .6…

A: The mean is 8.3 centimeters and standard deviation is 0.6 centimeters. The books are undersized…

Q: The weights of a certain dog breed are approximately normally distributed with a mean of 51 pounds,…

A: given data,normal distributionμ=51σ=7.7we have to find out the given probabilities.

Q: A dot plot of the speeds of a sample of 50 cars passing a policeman with a radar gun is shown below.

A: Hello! As you have posted 2 different questions, we are answering the first questions. If case you…

Q: The average birth weight of domestic cats is about 3 ounces. Assume that the distribution of birth…

A: a. Let x be the birth weight of cats which follows normal distribution with mean 3 ounces and…

Q: udnury's bowling ball factory in llinois , in pounds, of 9 of the bowling balls produced that day…

A: See the handwritten solution

Q: At wind speeds above 1000 centimeters per second, significant sand-moving events begin to occur sand…

A: The hypotheses are, H0: µ≤1,000 centimeters (The wind speed is less than or equal to 1,000…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: answer is given below

Q: A patient has a body temperature of 99.90° F. In general, human body temperatures have a mean of…

A: Given The data is as follows: Patient body temperature, X=99.90∘F Population mean, μ=98.20∘F…

Q: The weights of a certain dog breed are approximately normally distributed with a mean of 53 pounds,…

A: Given that, The random variable X is the weight of a certain dog breed It is normally distributed.…

Q: A ski gondola caries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: a. Consider a random variable x, that defines the weights of skiers.

Q: Find the percentage of dogs of this breed that weigh less than 52 pounds. % b) Find the percentage…

A: Let X be the random variable that the weights of a certain dog breed.Given that,To find the…

Q: The weights of a certain dog breed are approximately normally distributed with a mean of 50 pounds,…

A: a)Suppose the random variable x defines the weight of a certain dog breed.

Q: A painter purchases two types of paints, paint A and paint B. The amount of paint A purchased per…

A: Expected amount spent by firm on both types of paints combined is as follows…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: Hello! Thankyou for the question. According to our honor code can answer only three sub parts at a…

Q: On a dry surface, the braking distance of a fully loaded tractor trailer is 370 ft with a standard…

A: We have given that.   X~N( μ , ?^2 )   μ=370 , ? =40   Z-score =( x - μ )/?

Q: The mean height of college students was 170 cm with a standard deviation of 20 cm. Suppose a student…

A: Given, μ = 170σ = 20         To find, a. Find Z score. b. Make interpretation.

Q: A particular fruit's weights are normally distributed, with a mean of 712 grams and a standard…

A: Given Information: A particular fruit's weights are normally distributed, with a mean of 712 grams…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: μ=190 lbσ=44 lbn=25The maximum road limit = 3500 lb

Q: In a county male height is normally distributed with a mean of 175 cm and a standard deviation of 6…

A: Given that.   X~N( μ , ?^2 )   μ=175   , ?=6   Z-score =( x - μ )/?

Q: A set of test scores has a mean of 27 and a standard deviation of 4.2. Calculate the raw scores for…

A: We have given that, A set of test scores has a mean of 27 and a standard deviation of 4.2   The…

Q: Suppose that weights of 5th grade elementary girls are normally distributed with mean µ = 64 lbs and…

A:

Q: Seattle, Washington, averages m=34 inches of annual precipitation. Assuming that the distribution of…

A: From the provided information, Mean (µ) = 34 inches Standard deviation (σ) = 6.5 inches Let X be a…

Q: The average annual precipitation in Vancouver, British Columbia is 1300 mm. Assuming that the…

A: The value of  μ=1300μ+σ=1530,   μ+σ=1070μ+2σ=1760, μ+2σ=840μ+3σ=1990, μ+3σ=610 a)  Annual…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: Given information Population mean µ = 183 lb Sample size = 25 Standard deviation σ = 35 lb We have…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: Note:  "Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Determine whether the given value is a statistic or a parameter. A health and fitness club surveys…

A: We have to determine the given value is a statistic or a parameter.  A health and fitness club…

Q: Based upon past flight data, the average weight of checked baggage was 44.5 pounds with a standard…

A: Given that  X~N( μ = 44.5 , ? = 3.6 ) μ = 44.5 , ? = 3.6 , n = 400 Z-score =( x - μ )/?

Q: If the weights of ostriches are normally distributed with a mean of 240 pounds and standard…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 240 and…

Q: A variable has a mean of 100 and a standard deviation of 27. Nine observations of this variable have…

A: a)GivenThe mean of variable μ=100The standard deviation of variable σ=27 The sample mean X__=119The…

Q: A water taxi carries passengers from harbor to another. Assume that weights of passengers are…

A: It is given that the water taxi has a stated capacity of 25 passengers and the water taxi was rated…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and…

A: Let X be the readings on the thermometers which follows normal distribution with mean 0 degrees and…

Q: O whether or not a person who takes the drug gets a headache. O all individuals who take the…

A: Solution : d ) Option 4 The proportion of those who take the drug who get a headache.

Q: According to an automobile association, the average cost of a gallon of regular unleaded fuel at gas…

A: According to the given information in this question We need to find mean and standard deviations of…

Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Manufacturing and selling drugs that claim to reduce an individual's cholesterol level is big…

A: Given: Population mean μ=186 Population standard deviation σ=29 Let X ~ N (186, 292)

Q: Calculate the standard deviation of   2,3,3,3,9.

A: Given that  The data are 2,3,3,3,9

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.