A leading American electric vehicle company wishes to determine whether four types of batteries for electric vehicles perform equally well. Four types of batteries for electric vehicle were randomly selected and installed in the three different models. The number of hours of use for each battery is given below. GRAPH PROVIDED VIA PICTURE A. Use the analysis of variance (ANOVA) procedure for completely randomized designs to determine whether there is a significant difference in the mean useful life of the four types of batteries. (Ignore the fact that there are different electric vehicle models.) Include the ANOVA table. B. Now consider the three different Models (X,Y,Z) and carry out the analysis of variance procedure for a randomized block design. Include the ANOVA table. C. Compare the results in parts (a) and (b). Discuss why the results in (a) is different from (b).
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
A leading American electric vehicle company wishes to determine whether four types of batteries for electric vehicles perform equally well. Four types of batteries for electric vehicle were randomly selected and installed in the three different models. The number of hours of use for each battery is given below.
GRAPH PROVIDED VIA PICTURE
A. Use the analysis of variance (ANOVA) procedure for completely randomized designs to determine whether there is a significant difference in the mean useful life of the four types of batteries. (Ignore the fact that there are different electric vehicle models.) Include the ANOVA table.
B. Now consider the three different Models (X,Y,Z) and carry out the analysis of variance procedure for a randomized block design. Include the ANOVA table.
C. Compare the results in parts (a) and (b). Discuss why the results in (a) is different from (b).
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