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(Solution) MATH225 Week 6 Assignment Confidence Intervals – Empirical Rule

Question The average length of an eel from a population of short-finned eels is unknown. A random sample from the population yields a sample mean of x¯=1.9 feet. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.6 feet. Use the Empirical Rule to construct a 95% confidence interval for the true population mean length. Provide your answer below:…

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(Solution) MATH225 Week 6 Assignment Estimating Sample Size for a Population Proportion

Question Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance? z0.10…

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(Solution) MATH225 Week 5 Assignment Evaluating Probability Using the Normal Distribution

Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 16 points and the standard deviation is 2 points, what is the probability that in a randomly selected game, the player scored between 12 and 20 points? Use the empirical rule Ans: 95% You should also look at (Solution) MATH225 Week 5…

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(Solution) MATH225 Week 5 Assignment – Understanding Normal Distribution

Question The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the largest standard deviation. Ans; c You can as well check out on (Solution) MATH225 Week 5 Assignment Central Limit Theorem for Means Question Gail averages 64 words per minute on a typing test with…

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(Solution) MATH225 Week 5 Assignment Applications of the Normal Distribution – Excel

Question The number of miles a motorcycle, X, will travel on one gallon of gasoline is modeled by a normal distribution with mean 44 and standard deviation 5. If Mike starts a journey with one gallon of gasoline in the motorcycle, find the probability that, without refueling, he can travel more than 50 miles.  Ans. 0.1151 You can as well check…

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(Solution) MATH225 Week 5 Assignment Central Limit Theorem for Proportions

Question From recent census data, it is discovered that the proportion of the adults in the United States who are first generation Americans is 14%.  For a random sample of size 500, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places? Provide your answer below: Ans. Given the population proportion p=14%=0.14 and…

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(Solution) MATH225 Week 4 Assignment – Evaluating Probability with the Binomial Distribution

Question A basketball player has a 0.689 probability of making a free throw. If the player shoots 18 free throws, what is the probability that she makes no more than 11 of them? Answer This probability can be found using the binomial distribution with success probability p=0.689 and 18 trials. To find the probability that no more than 11 of the free throws are made, use a…