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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?
Fuji Importers' tubes are 4 percent defective, Kirkpatricks' 7 percent, and Parts, Inc. are 6.5 percent defective. (a) What is the overall percent defective?
Assume then money spent is uniformly distributed between these amounts. Determine the mean amount spent on insurance?
Use the list of random digits below to assign 4 men and 2 women to the shark fin treatment. Read the table from left to right, first selecting the 4 men and then the 2 women. Use the numerical labels given in the chart to the names.
Let X 1 , X 2 , ... , X n be a random sample from the distribution with probability density function f(x; Θ) = [Θ / 2sqrt(x)] * e^[-Θsqrt(x)], x > 0 , Θ > 0. What is the probability distribution of sigma notation from i = 1 to n (sqrt(Xi))?
Assume you randomly sample one mouse from the colony. The probability his age will be between 55 and 70 days is?
Assume that a 95% confidence interval estimate of the population mean annual starting salary is required. What is the planning value for the population standard deviation?
An element E has a constant failure rate (lamda) and a reliability at time t of R(t)=p, if p=0.2 and 0.8, What is the effect on Rs(t), and basic reliability, serial MTBF, of adding additional elements to the series baseline system containing a sin..
When should researchers use different hypothesis tests for independent and related samples? Is one type of sample preferable over the other?
Identify a research issue, problem, or opportunity that uses either interval or ratio level data (Recall that ratio level data are those data which have an absolute zero.
For the samples summarized below, test the hypothesis at ∞ =.05 that the two variances are equal. Variance Number of data values Sample 1 19 8 Sample 2 9 18
What is the appropriate conclusion based on the outcome of the hypothesis test?
Develop the hypothesis for a 3x3 factorial design (ANOVA). The experiment revolves around the effect of music and chocolate on words remembered. The first IV is the effect of music with 3 conditions
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