Denote the sample as X1,...,Xn is exponentially distributed Show the distribution of X-u in deitels
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 70…
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Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 78…
A: Introduction :- Let X = The amount of time that person spent at Grover Hot Springs. Given that,…
Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 72 mph and…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 75…
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Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…
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- Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 76 and 80 mph. d. 78% of all cars travel at least how fast on the freeway? mph.Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 70 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. d. 87% of all cars travel at least how fast on the freeway? mph.Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 100, what is the standard deviation of that sample?
- Suppose that the weights of 600 male students are normally distributed with mean u = 60 kg and a = 6 kg then the number of students with weights between 54 and 66 is 190 None 410 505The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected person at the hot springs stays longer then 82 minutes. c. The park service is considering offering a discount for the 5% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes.The number of hours in a month a sample of 12 people chosen at random from a normal population work is as follows: 55,55,54,56,56,58,60,62,61,59,59,60. Can we conclude that the mean of the sample differs significantly from the assumed population average of 56 hours? Given that t11,0.05 2.201.
- The average amount of money spent for lunch per person in the college cafeteria is $7.11 and the standard deviation is $2.1. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of XX? XX~ N(,) What is the distribution of ¯xx¯? ¯xx¯~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.294 and $7.636. For the group of 42 patrons, find the probability that the average lunch cost is between $7.294 and $7.636. For part d), is the assumption that the distribution is normal necessary? Yes or NoThis dot plot (burglary rates per 100,000 persons in 350 U.S. cities) shows a distribution that is skewed to the left (negatively skewed). 200 400 600 S00 1000 1200 1400 1600 1800 2000 2200 Buglary True or False True False < Prev 6 of 19 Next arch 22Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 10000, what is the standard deviation of that sample?
- The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 11, 13, 13, 13, 13, 10, 12, 13, 13, 10, 13 What can be concluded at the the αα = 0.05 level of significance level of significance? The null and alternative hypotheses would be: H0 = (p,u) (<,>,=,not equal) to _____ H1 = (p,u) (<,>,=,not equal) to _____ The test statistic (t,z) = ___ The p-value = _____ Thus, the final conclusion is that ... The data suggest that the population mean wait time for men who wear a tie is not significantly more than 12 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 12. The data suggest the population mean is not significantly more than 12…Suppose that X~N(500,100). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 500. What is its standard deviation, if you took a sample of size n = 10000?The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected person at the hot springs stays longer then 70 minutes. c. The park service is considering offering a discount for the 8% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: minutesQ3: minutesIQR: minutes
