Question

please round to 4 decimal places

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. 15 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X? X N b. What is the distribution of 7 -N c. What is the probability that one randomly selected person drinks between 15.5 and 17 ounces of coffee per day? a. d. For the 15 people, find the probability that the average coffee consumption is between 15.5 and 17 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? O Yes O No f Find the IQR for the average of 15 coffee drinkers. Q1= ounces Q3 ounces IQR: ounces Hint: Some Helpful Videos: Finding the Sampling Distribution Finding a Probability Using the Central Limit Theorem Finding a Sample Mean Given its Percentile Hint License Points possible: 1 Unlimited attempts. Message instructor about this question Malwarebytes I FP Submit Your Prer Upgrade nowv webstes, and O Upgrade to OL don't need

Answer 1

mean 16 Standaad deuiation me15 dishi butum (a) X (16, distributn d z X N N 5 (b) 15 P(15.5 219) ((el>x> S.S1 x-M 15-5-10 91-tI P W5 -0.5 P/-0.1

9 P la0.2)-p (2-0.1) (0.5793 (0.460a O1191 P (15.5x1 0.19 probab? ty behoeen 155 Plis-5271) / 15-5-16 tgres16 Pr 5/NTS - 0-5 .5VIS P(-038332< 07746 nuc) P (+0구346)-P(-0. 3873)

o-7794-0.3483 O.4311 1 yu, ashumption that the distibutiom e) nolmal = 16-(0-6745)a5 12G295 Mt(0.6745 16 + (0.6745) S = 19-3725 I9 R 2 9-0 19-3725-12 6225 6.74