Asked Nov 16, 2019

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 5 ounces. 6 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

  1. For the 6 people, find the probability that the average coffee consumption is between 14.5 and 16.5 ounces of coffee per day. 
  2. For part d), is the assumption that the distribution is normal necessary? NoYes

Expert Answer

Step 1
  1. Probability that average coffee consumption is between 14.5 and 16.5 ounces of coffee per day:

The probability that average coffee consumption is between 1...


Image Transcriptionclose

14.5-16 x- 16.5 16 P(14.5 <x<16.5)= P 5 5 = P(-0.7349 << 0.2449) =P(z <0.2449)-P(z <-0.7349) using EXCEL fomula -0.2312 "NORM.S.DIST (0.2449,TRUE)", P(z0.2449) 0.2312 using EXCEL formula =0.5948 "-NORM.S.DIST (-0.7349,TRUE)" P(-0.7349)= 0.5948 =0.2312-0.5968 =0.3655


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