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{"ops":[{"insert":"1.\u00a0Information from the Department of Motor Vehicles indicates that the average age of\u00a0 licensed drivers is 38.6 years with a standard deviation of 10.4 years. Assume that the\u00a0 distribution of the driver\u2019s ages is normal.\u00a0\u00a0\n\na. What proportion of licensed drivers are from 25 to 45 years old?\n\nb. Determine the ages of licensed drivers separating the upper 10% and lower 10%\u00a0 percent of the population. \n\n\n2. Weights of newborn babies in a particular city are normally distributed with a mean of\u00a0 3380 g and a standard deviation of 475 g.\u00a0\n\na. A newborn weighing less than 2100 g is considered to be at risk, because the\u00a0 mortality rate for this group is very low. If a hospital in the city has 500 births in a\u00a0 year, how many of those babies are in the \u201cat-risk\u201d category?\n\nb. If we redefine a baby to be at risk if his or her birth weight is in the lowest 3%,\u00a0 find the weight that becomes the cutoff separating at-risk babies from those who\u00a0 are not at risk.\n\nc. If 20 newborn babies are randomly selected as a sample in a study, find the\u00a0 probability that their mean weight is between 3200 g and 3500 g. \n\n\n3. Over the past 30 games between team "},{"attributes":{"italic":true},"insert":"A "},{"insert":"and team "},{"attributes":{"italic":true},"insert":"B"},{"insert":", team "},{"attributes":{"italic":true},"insert":"A "},{"insert":"has won 14 times, team "},{"attributes":{"italic":true},"insert":"B "},{"insert":"has won 11 times and the game has ended in a draw 5 times. If these two teams played 9\u00a0 games this season, what is the probability that team \ufffd\ufffd would win 5 games, team \ufffd\ufffd would\u00a0 win 3 games, and the remaining game would be a draw? \n\n4. The formula for the standard error (standard deviation of the distribution of sample\u00a0 means) implies that as the sample size ("},{"attributes":{"italic":true},"insert":"n"},{"insert":") increases, the size of the standard error\u00a0 decreases. Explain the role of the standard error in comparing the sample mean and the\u00a0 population mean. Use the definitions and concepts on sample means distribution and\u00a0 standard error and show examples comparing the sample mean and the population mean\u00a0 of a distribution when the standard error changes in value to express your answer.\n"}]}

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