(Solution) MATH225 Week 6 Assignment Point Estimates, Margins of Error, and Confidence Intervals

Question Randomly sampled math majors at a large university were asked to take part in a survey about the curriculum. The dean wanted to find out how challenging the math coursework was for students. The proportion of math majors that stated the curriculum was challenging was 0.92, with a margin of error of 0.07. Construct a confidence interval for the…

(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:…

(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…

(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% Question After collecting the data, Tammy finds that the…

(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 Question Gail averages 64 words per minute on a typing test with a standard deviation of 9.5 words per minute. Suppose Gail’s words per minute on a typing test are normally…

(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 Question The weights of bags…

(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…