# Foundations of Statistics milestone 2.docx - 11 questions...

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11 questions were answered correctly . 4 questions were answered incorrectly . 1 Which graph correctly matches a probability value with the shaded region between z-scores? RATIONALE Remember the 68/95/99.7 rule where 68% of the data lies within 1 standard deviation, 95% of the data falls within 2 standard deviations of the mean, and 99.7% of the data falls within 3 standard deviations of the mean. CONCEPT
Standard Normal Distribution 2
Ahmad was conducting some tests to determine if there was a relationship between taking sleeping pills and the amount of sleep a person gets. His null hypothesis was that taking sleeping pills did not have any effect on the amount of sleep a person receives. Ahmad's alternate hypothesis was that taking sleeping pills increases the amount of sleep a person will get. If Ahmad completed his study, which of the following statements would indicate a Type II error?
CONCEPT Type I and Type II Errors 3 Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
10.27% RATIONALE If we are considering a 5% significance level, then this means that we are accounting for 95% of the data. If we picture this on a normal distribution curve, we would say that 2.5% of the data in the left tail is not accounted for and 2.5% of the data in the right tail is not accounted for. Therefore, probability values that are below 2.5% or above 97.5% indicate that the null hypothesis should be rejected. This is because if the null hypothesis were true for a 5% significance level, then it is very unlikely that we would get