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Remember from Chapter 7 that the range for a data set is found as the difference between the maximum and minimum values. Explain why it
Remember from Chapter 7 that the range for a data set is found as the difference between the maximum and minimum values. Explain why it makes sense that for a bell-shaped data set of a few hundred valuesr the range should be about 4 to 6 standard deviations. [HH'JI'I Use the Empirical Rule.)- For bell-shaped datar the Empirical Rule tells us that if we had an infinite sample, 99.7% of the data would fall within |:| standard deviations of the mean, and 95?{q__|.:{9|_.|_|_dlfa_ll_ within |:| standard deviations of the mean. For a finite data set, depending on how large it is, it thus makes sense that all of the data will fall within a minimum 0__ standard deviations on either side of the mean. Thus, the entire range of the data will be at least standard deviations. """""""""" According to Chance magazinej' Suppose a certain magazine claims the mean health),r adult temperature is around 98.1a Fahrenheit, not the previously assumed value of 98.60. Suppose the standard deviation is 0.7 degree and the population of healthy temperatures is bell-shaped l USE SALT (a) What proportion of the population (as a decimal) have temperatures at or below the presumed norm of 98.60? (You may need to use Table 8.1 or SALT. Round your answer to two decimal places] x Use Table 8.1, a computer, or SALT to answer the following. USE SALT Suppose a candidate for public ofce is favored by only 49% of the voters. If a sample survey randomly selects 2,500 voters, the percentage in the sample who favor the candidate can be thought of as a measurement from a normal curve with a mean of 49% and a standard deviation of 1%. Based on this information, how often [as a We] would such a survey show that 50% or more of the sample favored the candidate? (Round your answer to two decimal places.) x
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