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net to A randomly selected sample of n in dollars, are the following 12 students

ID: 3311825 • Letter: N

Question

net to A randomly selected sample of n in dollars, are the following 12 students ts at a university is asked, "How much did you spend for t 15 a 200 175 450 300 350 250 150 200 320 370 404 250 this sem Computer output with interval that estimates the textbook expenses of 95% of the individual students at the university. (Round the answer to the nearest dollar.) 95% confidence interval for the population mean is shown in the following figure. Use the Empirical Rule to create an to $ variable N Mean | StDev SEMean 195.096 Ci spent 112|284.9 96. 11 |[223.934501 27.7 You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Taik to s Titer a Show My Work (optional) Suppose that a highway safety researcher is studying the design of a highway sign and is interested in the mean maximum distance at which drivers are able to read the sign. The maximum distances (in feet) at which n 16 drivers can read the sign are as follows. 440 490 600 540 540 600 240 440

Explanation / Answer

Mean = 284.9 [ Given]

Standard Deviation = 96.1 [ Given ]

Now, by empirical rule 95% of the observations lie between mean - 2 * standard deviation and mean + 2 * standard deviation

Mean - 2 * standard deviation = 284.9 - 2 * 96.1 = 92.7 which is $93 after rounding off

Mean + 2 * standard deviation = 284.9 + 2 * 96.1 = 477.1 which is $477 after rounding off

Textbook expenses of 95% of the individual students at the university is from $93 to $477