6. Lake City has two shops, Zeke's and Elmer's, that handle the majority of the town's auto body re- pairs. Seven cars that were damaged in collisions were taken to both shops for written estimates of the re- pair costs. These estimates (in dollars) are shown in the following table. Zeke's 1058 544 1349 1296 676 998 1698 Elmer's 1520 995 540 1175 1350 605 970 a. Construct a 99% confidence interval for the mean of the population paired differences, where a paired difference is equal to Zeke's estimate minus Elmer's estimate. b. Test at a 5% significance level whether the mean 4 of the population paired differences is different from zero. Assume that the population of paired differences is (approximately) normally distributed.
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.
3. Can a test for the difference in proportions from Chapter 10 and a chi-square test of independence/association be utilized to analyze data from a 2x2
see the attached photo for an example of ch10 problem.
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