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Assume that a population's IQ is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 35 to be 115 or more? While we can use the rule-of-thumb that a sample whose standard deviation is greater than 2 standard deviation is an unusual event I suggest that a preferred measure to use is a probability of less than or equal to 0.05. For a discussion on this I recommend you see p. 105 in the textbook and pay particular attention to the paragraph at the foot of the page Interpreting Normal Distributions: 1)What if the size of sample was decreased to 5? Would a sample mean of 115 or more be considered unusual? Why or why not? 2)Why is the Central Limit Theorem used? 3)Consider situations in your work or home that could be addressed through a continuous probability distribution. Describe the situation and the variables, and determine whether the variables are normally distributed or not. How could you change these to a normally distributed data set?
Calculate the expected value and standard deviation of the value.
In a binomial distribution n = 8 and π = 0.2. Determine the probabilities of the following events.
If a distribution of test scores is normal with a mean of 78 and a standard deviation of 11, what percent of the area lies below 60?
Scores for men on the verbal portion of the SAT test are normally distributed with a mean 509 and a standard deviation of 112. Randomly selected men are given the Columbia
Create a 95% confidence interval for true mean debt for student borrowers.
The following data represents the running time of films produced by 2 motion picture companies. Assume these are independent samples
Environmental health indicators include air quality, water quality, and food quality. Twenty-five years ago, 47% of U.S. food samples contained pesticide residues. In a recent study, 44 of 125 food samples contained pesticide residues.
Completion of today's paper. If X denotes the number of papers belonging to seniors among those checked, will X have a binomial distributuin?
A random sample of 81 credit sales in a department store showed an average sale of $68.00. Historically, it is known that the standard deviation of the population is $27.00.
Think about a density curve that consists of two line segments. The first goes from the point (0, 1) to the point (0.7, 1). The second goes from (0.7, 1) to (0.9, 2) in the xy-plane. What percent of observations fall below 0.70?
customer's time is worth $1 per hour and should be accounted for in the model. If customers arrive at a Poisson rate of 10 per hour, then what is the average cost per hour if Mary is hired? if Alice is hired?
1.a college basketball player makes 80 of his free throws. at the beginning of a game he misses his first two free
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