1. Researchers compared the effectiveness of a mood induction technique. They believed that more time exposed to a sad movie, the more depressed the participants will become. Researchers predict that each increase in time exposed, the greater the depression: 10 minutes will be greater than control, and 20 minutes will be greater than 10. There were 3 different groups of 14 participants each: 0 minutes exposure (Control Group), 10 minutes exposure, & 20 minutes exposure. The response variable is the score on the Beck Depression Inventory (higher score = more depressed mood). Analyze the data using alpha= .05. Control 10 minutes 20 minutes X, = 8 SSi = 56 X = 11 X 13 SS2 = 96 SS3 = 62 ni = 14 n2 = 14 ng = 14 SSTetal = 368 A. State the hypotheses. B. Make a decision about the null. C. State your conclusion. D. Relate your conclusion to the research E. Are you allowed to conduct analytical comparisons? Yes or no? Why? a. If yes, which groups would you compare? If not allowed, state n/a. b. Regardless of whether you are allowed to conduct analytical comparisons or not, conduct a planned comparison between the control group and the 20 minutes group. Use alpha=.05. i State the hypothesis. ii. Make a decision about the null. iI. State conclusion regarding your planned comparison. iv. Relate your conclusion to the research.
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.
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