Please answer the entire question and all the parts. Thank you. 5-1 points Field

Question

Please answer the entire question and all the parts. Thank you. 5-1 points FieldStatiNT4 1, Num.003 Notes O Ask Your The number of calories eaten per day by a sample of supermodels is normally distributed with a mean equal to 530 and a standard deviation equal to 220. You may need to use the appropriate table in the Appendix (the table of the standard normal distribution) to answer this question. (Hint: Compute the z-transformation, and then look up the z-scores in the normal table.) (a) what is the range of calories between which the middle 9S% of supermodels fall? (Round your answers to two decimal places.) between and calories (b) What raw score is the cut-off for the top 10% of scores? (Round your answer to one decimal place.) calories (c) What is the proportion below 896 calories per day? (Round your answer to four decimal places.) (d) What is the probability that a supermodel ate less than 800 calories per day? (Round your answer to four decimal places.) Submit Answer Save Progress Practice Another Version

Explanation / Answer

Z for 95% confidence interval is 1.96

Range = (530-1.96*220,530+1.96*220) = (98.8, 961.2)

b) Z = 1.281 for cutoff value

Value= 530+1.281*220 = 811.82

c) Z= (896-530)/220= 1.66

This corresponds to a probability of 95.13% for P(Z<1.66)

d) Z=(800-530)/220 = 1.2272

This corresponds to probability of 89.02%

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