Goodness of Fit Test. 1. A player in a crap game suspects that one of the dice used in the game is loaded. A loaded die is one where all the possibilities are not equally likely. The player throws the die 400 times and records the outcome with the following result. 4. 76 76 62 62 57 67 Test whether the die is loaded at a = 0.01 level of significance. Teat of Independence A survey of randomly selected Americans 18 years of age and older were asked whether they 2. supported the limited use of marijuana when prescribed by a physician to relieve pain and suffering. The results were as follows. Age 50 or older 30-49 years old 18-29 years old Opinion 258 313 172 For 119 103 52 Against Test whether age and opinion are independent at a = 0.05 level of significance. Anova Test. 3. Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver's head during a crash test is equal for each types of car. Use a = 5%. level of significance Table ANOVA. Full-size cars Midsize cars Compact cars 484 469 643 456 427 655 402 525 702
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.
Can you please answer number 3 (Anova Test) and please write the Ho,Ha, p-value and write the conclusion and show the steps
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