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Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis that the population mean is not equal to 52. Assume we have collected 38 sample data from which we computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample data appear approximately normal. What's the test statistic?
x1, x2, x3 are zero mean Gaussian random variables with STD=4. Let x1 and x2 be independent and x3= a*x1+b*x2. Find the constants “a” and “b” such that the correlation between x1 and x3 is 0.3. What is the correlation between x3 and x2?
two perecent of calculators produced by texas intruments are defective. a batch of 300 calculators is tested to see if
The mean and standard deviation of these scores are 23.0 and 5.0 respectively. The test was administered to 100 students. What is the T-score equivalent to the raw-score 13?
A random sample of 10 observations has been drawn from a normal population, and the sample variance is found to be s2 = 19.5. Determine the 98% confidence interval for σ2.
The mean and the standard deviation of a characteristics of 100 items were found to be 60 &10 respectively at the time of calculations two items were taken as 5 & 45 instead of 30 & 20.
We might raise two issues with this test. First, does the data come from a random sample from some population? Second, what is the relevant population?
Let r be a binomial random variable representing the number of successes out of n trials.
A researcher is trying to discover the average age at death for people in the United States today. To obtain data, the obituary columns of The New York Timesare read for 30 days, and the ages at death of people in the United States are noted.
Find the probability that your score is 85 or better and you receive an A in the course.
Non-informative prior distributions: Suppose for a binary sampling problem we plan on using a uniform, or beta(1,1), prior for the population proportion ?
Write a brief paragraph that discusses possible selection and response biases that could arise based on this data collection process.
i have filled a bag with differently colored ping-pong balls. there are twenty balls in the bag. twelve are red six
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