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1. A pharmaceutical company has specified that the variation in the quantity of active ingredient in its leading prescription medication must be such that the population standard deviation must be no more than 1.20 micrograms. The ingredient content of the pills is normally distributed. In a random sample of 20 pills, the standard deviation is found to be s 5 1.32 micrograms. Based on the sample data, use the a 5 0.05 level in testing H0: u # 1.20 micrograms versus H1: u . 1.20 micrograms.
2. During the early stages of production for a single-cylinder engine designed for use in portable gen- erators, the manufacturer randomly selects 12 engines from the end of the assembly line and subjects them to a battery of tests. In the horsepower tests, the engines are found to have an output standard deviation of s 5 0.18 horsepower. Assuming a normal distribution of horsepower outputs, determine the 90% confidence interval for u.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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