the fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 25 and a standard deviation of 2. the population distribution can be assumed as normal. a random sample of these cars is taken. a. find the probability that the sample mean fuel consumption will be fewer than 24 miles per gallon if (i) a sample of 1 observation is taken, (ii) a sample of 4 observations if taken and (iii) a sample of 16 observations is taken.

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trentvw2701 trentvw2701

14-11-2022
Business

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the fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 25 and a standard deviation of 2. the population distribution can be assumed as normal. a random sample of these cars is taken. a. find the probability that the sample mean fuel consumption will be fewer than 24 miles per gallon if (i) a sample of 1 observation is taken, (ii) a sample of 4 observations if taken and (iii) a sample of 16 observations is taken.

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JitSen257 JitSen257 · Answer 1 · 2022-11-22T09:15:14+01:00

The probability indicates the likelihood of the event occurring, and it is simple to determine the probability if the data adhere to a probability distribution.

The reason for this is that the probability distribution is a set of empirically tested methods for determining how likely it is that data will follow the same pattern as the probability distribution.The normal distribution, exponential distribution, binomial distribution, poison distribution, and others are examples of empirically tested probability distributions.

If the sample size is one, the likelihood that the sample mean fuel consumption will be less than 27 miles per gallon

Learn more about probability distribution here:

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