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Question 1: The average teacher's salary in Arizona is $42,300 with standard deviation $5000. Assuming a normal distribution, what is the probability that the mean of a sample of 50 teachers' salaries will be at least $48,000 a year?
Question 2: If a baseball player's batting average is 0.275, find the probability that the player will get at least 40 hits in 100 times at bat.
Question 3: Thirty randomly selected vehicles were stopped, and the tread depth of the right front tire was measured. The mean was 0.20 inch, and the standard deviation was 0.05 inch. Find the 95% confidence interval of the mean depth. Assume the variable is approximately normally distributed.
Question 4: A statistics instructor is asked to estimate the average age of students at the college at 99% confidence with accuracy within 2 years. A previous study determined that the standard deviation was 5 years. How large a sample is needed?
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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