A medical study compares the time it takes for a woundto heal with two different medications. At the end ofthe study, the conclusion is stated as a 95% confidence interval. The average difference between the two treat-ments (in days) was reported to be 1-2.45, 3.862. From this interval we can conclude thatA) One of the medications is statistically significantly betterthan the other, because zero is contained in the interval.B) The experiment must have made a Type I error,because zero is in the interval.C) Because zero is in the interval, there is no statisticallysignificant difference between the two medications.D) Because more of the interval is above zero than belowit, there must be a slight statistical difference betweenthe treatments.E) The researcher made a mistake because the differenceshould not result in a negative number of days.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
to heal with two different medications. At the end of
the study, the conclusion is stated as a 95% confidence
ments (in days) was reported to be 1-2.45, 3.862. From
A) One of the medications is statistically significantly better
than the other, because zero is contained in the interval.B) The experiment must have made a Type I error,
because zero is in the interval.
C) Because zero is in the interval, there is no statistically
significant difference between the two medications.
D) Because more of the interval is above zero than below
it, there must be a slight statistical difference between
the treatments.
E) The researcher made a mistake because the difference
should not result in a negative number of days.
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