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Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.Calculate the mean of the 20 samplesDraw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on).Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).Draw 20 more samples and add the 20 new x-bars to the histogram in part b. Describe the distribution that seems to be developing.Use the empirical rule to test for normality. See the sampling distribution of sample means and the central limit theorem develop from your own data!Question 2Consider a population with μ = 43 and σ = 5.2.Calculate the z-score for an x¯ of 46.5 from a sample of size 35.Could this z-score be used in calculating probabilities using Table 3 in Appendix B? Why or why not?Question 3State the null and alternative hypotheses for each of the following:You want to show an increase in buying and selling of single-family homes this year when compared with last year's rate.You are testing a new recipe for "low-fat" cheesecake and expect to find that its taste is not as good as traditional cheesecake.You are trying to show that music lessons have a positive effect on a child's self-esteem.You are investigating the relationship between a person's gender and the automobile he or she drives-specifically you want to show that more males than females drive truck-type vehicles.
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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