1. A certified mechanic was timed for the repair of an automobile on 14 separate occasions. Over the same period a trainee mechanic was timed for the repair of a simila automobile. The times in minutes are given below. Certified 344 276 257 334 267 164 222 343 212 175 211 311 209 188 Trainee 222 342 178 234 398 232 377 211 309 190 351 343 177 269 b. Test the hypothesis that the mean times for both mechanics are equal. Use the 5% level of significance.
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.
1. A certified mechanic was timed for the repair of an automobile on 14 separate occasions. Over the same period a trainee mechanic was timed for the repair of a simila automobile. The times in minutes are given below.
| Certified | 344 | 276 | 257 | 334 | 267 | 164 | 222 | 343 | 212 |
| 175 | 211 | 311 | 209 | 188 | |||||
| Trainee | 222 | 342 | 178 | 234 | 398 | 232 | 377 | 211 | 309 |
| 190 | 351 | 343 | 177 | 269 |
b. Test the hypothesis that the mean times for both mechanics are equal. Use the 5% level of significance.
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