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1. According to Fortune, solar power now accounts for only 1% of total energy produced.15 If this number was obtained based on a random sample of 8,000 electricity users, give a 95% con?dence interval for the proportion of users of solar energy.
2. Money magazine is on a search for the indestructible suitcase.16 If in a test of the Helium Fusion Expandable Suiter, 85 suitcases out of a sample of 100 randomly tested survived rough handling at the airport, give a 90% con?dence interval for the population proportion of suitcases of this kind that would survive rough handling.
3. A machine produces safety devices for use in helicopters. A quality-control engineer regularly checks samples of the devices produced by the machine, and if too many of the devices are defective, the production process is stopped and the machine is readjusted. If a random sample of 52 devices yields 8 defectives, give a 98% con?dence interval for the proportion of defective devices made by this machine.
4. Before launching its Buyers' Assurance Program, American Express wanted to estimate the proportion of cardholders who would be interested in this automatic insurance coverage plan. A random sample of 250 American Express cardholders was selected and sent questionnaires. The results were that 121 people in the sample expressed interest in the plan. Give a 99% con?dence interval for the proportion of all interested American Express cardholders.
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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