7.2.49 Question Help The number of chocolate chips in a bag of chocolate chip co

Question

7.2.49 Question Help The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1261 and a standard deviation of 117 (a) Determine the 30th percentile for the number of chocolate chips in a bag. (b) Determine the number of chocolate chips in a bag that make up the middle 97% of bags (c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies? Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2) (a) The 30th percentile for the number of chocolate chips in a bag of chocolate chip cookies is chocolate chips. Round to the nearest whole number as needed.)

Explanation / Answer

: A) Calculator: invNorm (.3,1263,117) = 1201.64514 (1202 chocolate chips –round to nearest whole number)

B) 100% - 97% = 3% / 2 = 1.5% on each side Lower number in range: Calculator: invNorm (.015,1263,117) = 1009.099426 (round to 1009) Upper number in range: Calculator: invNorm (1-.015,1263,117) = 1516.900574 (round to 1517)

C) 75% - 25% = interquartile Lower number in range: Calculator: invNorm (.25,1263,117) = 1184.084699 Upper number in range: Calculator: invNorm (75,1263,117) = 1341.915301 1341.915301 –1184.084699 = 157.8306017 (round to 158)

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