Suppose Y ~ N (6,8). Find a symmetric interval around the mean such that the probability of an observation of Y lies within the range is .85. Suppose you collect a sample of 54 observations on Y. What is the distribution of the sample mean?
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Suppose Y ~ N (6,8).
- Find a symmetric interval around the
mean such that the probability of an observation of Y lies within the range is .85. - Suppose you collect a sample of 54 observations on Y. What is the distribution of the sample mean?
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- the weights of adults living in the town of Metatuna is normally distributed, with a mean of 155 pounds and a standard deviation of 13.2 pounds. Given this information, please compute the following: The probability that an adult sampled at random will weigh more than 144 pounds. The probability that an adult sampled at random will weigh less than 177 pounds. The probability that an adult sampled at random will weigh between 120 pounds and 144 pounds. What are the minimum and maximum weights separation the inner 74% (middle 74%) from the rest of adult population? What is the weight that separates the top 80% from the rest of the distribution?Suppose that time spent by a group of people on social media follows anormal distribution with a mean of 75 minutes and a standard deviation of 10 minutes. a) What is the probability that a person selected at random spends morethan 60 minutes on social media? b) Of the people, 95% spend less than Th minutes on social media. Find thevalue of Th. c) As you have learned in the lecture, a normally distributed random variable also takes negative values as it is defined over (-∞,+∞). Why do many random variables that take only positive values, like the one in this question, can still be assumed to have a normal distribution?From 2010 - 2018, the average monthly precipitation in a CityXYZ is 344.60 mm with a standard deviationof 453.54 mm. Assume the variable is normally distributed. Find the probability that the mean of a random selection of36 months will have a mean between 357 mm and 450 mm.
- About 8080% of all female heart transplant patients will survive for at least 3 years. SeventySeventy female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 7575%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to StartRoot StartFraction pq Over n EndFraction EndRootpqn.The length of the western rattlesnake is normally distributed with a mean of 42 inches in a standard deviation of 2 inches suppose that a random sample of size and equals 16 sneakers to be taken determine the probability that the mainland X of the snakes of table be within one into the population mean of 42 inches that is between 41 and 43The total amount spent on make-up by all the female students in a popular private university has a distribution that is skewed to the right (not normally distributed), with a mean of Tk, 2840, and a standard deviation of Tk. 672. Find the probability that the mean amount spent on make-up by a random sample of 36 female students would be: 10 Between Tk. 2600 and Tk. 2950 Less than Tk. 3060