The weight of a small Starbucks coffee is a normally distrib

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 340 grams and a standard deviation of 11 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C for calculation of z-value. Round your final answers to 2 decimal places.)

Solution

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 340 grams and a standard deviation of 11 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C for calculation of z-value. Round your final answers to 2 decimal places.)

Z value for highest 30% =0.524

Required weight = 340+0.524*11 =345.76

Z value for middle 70% =( -1.036, 1.036)

Lower value =340