DATAfile: Setters You may need to use the appropriate appendix table or technology to answer this question. Money reports that the average annual cost of the first year of owning and caring for a large dog in 2017 is $1,448. The Irish Red and White Setter Association of America has requested a study to estimate the annual first-year cost for owners of this breed. A sample of 50 will be used. Based on past studies, the population standard deviation is assumed known with o = $230. 1,902 2,042 1,936| 1,817| 1,504 1,572 1,532 1,907 1,882 2,153 1,945 1,335 2,006 1,516| 1,839| 1,739 1,456 1,958 1,934 2,094 1,739 1,434 1,667| 1,679| 1,736 1,670 1,770 | 2,052 | 1,379 1,939 1,854 1,913 2,163 1,737 1,888 | 1,737 2,230 | 2,131 1,813| 2,118 1,978 2,166 1,482 | 1,700 1,679| 2,060 | 1,683 1,850 2,232 | 2,294 (a) What is the margin of error for a 95% confidence interval of the mean cost in dollars of the first year of owning and caring for this breed? (Round your answer to nearest cent.) 24 (b) The DATAfile Setters contains data collected from fifty owners of Irish Setters on the cost of the first year of owning and caring for their dogs. Use this data set to compute the sample mean. Using this sample, what is the 95% confidence interval for the mean cost in dollars of the first year of owning and caring for an Irish Red and White Setter? (Round your answers to nearest cent.) to $

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!