ents is exponential with common parameter a. Denote by M, the maximum among first n interarrival times. As no, the distribution of the normalized random

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?

Let X be a random variable with a uniform distribution over the interval [-2 , 4]. Determine the mean of X. The answer should be a number rounded to five decimal places

ves Holl its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter > .01386 (as suggested in the article "Competition and Dispersal from Multiple Nests," Ecology, 1997: 873-883). = b. a. What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? What is the probability that distance exceeds the mean distance by more than 2 standard deviations? What is the value of the median distance? C. all

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?

Please answer both parts of the question thanks

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