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Compute a 95% confidence interval for the population mean, based on the sample 1.5, 1.54, 1.55, 0.09, 0.08, 1.55, 0.07, 0.99, 0.98, 1.12, 1.13, 1.00, 1.56, and 1.53. Change the last number from 1.53 to 50 and recalculate to the confidence interval. Using the results, describe the effect of an outlier or extreme value on the confidence interval.
At 5% level of significance, does this sample prove violation of guideline that average patient must pay no more than $250 out of pocket?
Conduct the hypothesis test and provide the test statistic, critical value and/or P- value and state the conclusion.
The number of phone calls coming into a switchboard in the next five minutes will either be 0, 1, or 2. The probabilities are the same for each of these (1/3).
Use the t test to determine whether the slope of the regression model is significant at α = 0.05.
Assume X is an exponential random variable with parameter lambda. Find the method of moments estimator for lambda.
A teacher wants to know if students in her biology class did significantly better on an exam after instruction using authentic learning. The scores pre and post test are listed below. Based on an α = .05, what can the teacher conclude?
To test whether there is any association between two variables using Chi-Square test for independence.
In a pilot study, five kids are given several problems of each type to practice (and then tested on three problems), in one of the three Sequences: D-R-T, T-D-R, OR R-T-D.
What is the difference between strong positive and strong negative correlation? Is there value in a strong negative correlation? If so, what? In your answer provide examples from your life.
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
Accidents at a chemical plant occur at a rate of 1.9 per month. Find: The expected number of accidents in a year? The probability of no accidents next month?
Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the casual effect of hours on sat.
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