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Type I and Type II Errors
In this scenario, (1) formulate both a null and (2) research hypothesis and give an example of both a (3) Type I and (4) Type II error.
Scenario: You are Supervisor or Research for Doggie Heaven Biscuit Company. Your scientists have developed a new dog biscuit for the treatment of doggie breath. In a clinical trial of a new drug, the new biscuit is shown to be better in reducing doggie breath than the current biscuit made by your company. Formulate both a null hypothesis and a research hypothesis for the new biscuit is no better, on average, than the current dog breath biscuit made by your company.
You run a two tail t-test. The critical value for this test at the .05 level is a t of 7.82. What value must the obtained t-test statistic be in order to be considered significant at the .05 level?
If you have n independent flips of a coin with probability p of landing heads. And a changeover occurs whenever an outcome differs from the one preceding it.
What is the approximate permutation test P-value and What is the permutation test P-value for testing the equality of the means versus the hypothesis that the mean change for the treatment group is larger than the mean treatment for the control gro..
A locksmith is preparing an electronic key code of 3 integers selected from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} without replacement. Calculate the probability that at least one of integer in the code is 5.
The frequency distribution below shows the distribution for suspended solid concentration (in PPM) in river water of 50 different waters collected in September 2011.
Find the probability that a randomly selected employee earns less than $5.43.
A statistics practitioner conducted a two-factor analysis of variance experiment with a =4, b = 3, and r = 8. The sum of squares are listed here:
Stats Questions Set. Which of the following statements correctly compares the t -statistic to the z -score when creating a confidence interval?
Critically illustrate out the purpose of developing frequency distribution? Describe the relationship between the relative frequency and the cumulative frequency.
Using standard normal table, show critical value for left-tailed test with α = 0.02.
Assume that the measurements came from a normal distribution. The variability of the manufacturing process is unknown means the same as the standard deviation is unknown.
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order autoregressive model.
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