Lunch break: In a recent survey of 633 working Americans ages 25-34, the average weekly amount spent on lunch as $42.95 with standard deviation $2.61. The weekly amounts are approximately bell-shaped. (a) Estimate the percentage of amounts that were less than $37.73. Round the answer to one decimal place. Approximately 2.5 % of the amounts were less than $37.73. (b) Estimate the percentage of amounts that were greater than $45.56. Round the answer to one decimal place. Approximately 16.00 % of the amounts were greater than $45.56. Alternate Answer: 16% (c) Estimate the percentage of amounts that were between $42.95 and $48.17. Round the answer to one decimal place. Approximately % of the amounts fall between $42.95 and $48.17.
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The z-score formula is: z = (x - μ) / σ where x is the amount, μ is the mean, and σ is the standard deviation. For $37.73: z1 = ($37.73 - $42.95) / $2.61 = -1.99 For $45.56: z2 = ($45.56 - $42.95) / $2.61 = 1.00 For $48.17: z3 = ($48.17 - $42.95) / $2.61 = Show more…
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