A data set includes weights of garbage discarded in one week from 02 different households. The paired weights of paper and glass were used to obtain the results shown to the right. is there sufficient evidence to support the daim that there is a inear comelation between weights of discarded paper and glass? Use a significance level of a-0.05. Corelation matroc Variables Paper Glass Click here to yiewa table of eritical values for the.corelation coefficient Paper Glass 10.4277 0.427 Determine the null and alternative hypotheses. Ho: pl (Type integers or decimals Do not round) Identify the test statistic. r. =(Round to three decimai places as needed.) Identify the oritical value(s) (Round to three decimal places as needed) A. There is one critical value atr OB There are two oritical values atr State the conclusion sufficient evidence to support the claim that there is a inear o relation between the weghts of discarded paper and glass for a sgnifcance level of a0.05 e the absoiu V the positve critical value there
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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