The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 4 ounces. 11 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the probability that one randomly selected person drinks between 13.5 and 15 ounces of coffee per day?

Question

The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 4 ounces. 11 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. What is the probability that one randomly selected person drinks between 13.5 and 15 ounces of coffee per day? 
  4. For the 11 people, find the probability that the average coffee consumption is between 13.5 and 15 ounces of coffee per day. 
  5. For part d), is the assumption that the distribution is normal necessary? NoYes
  6. Find the IQR for the average of 11 coffee drinkers.
    Q1 =  ounces
    Q3 =  ounces
    IQR:  ounces

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Use regression to find a quadratic model for the given data. (Round the terms to four decimal places...

A: The quadratic equation is polynomial model with degree 2. That is, y = a +bx + cx2, where a is the y...

Q: Set up, but do not evaluate, an integral that will yield the density of Z = X + Y, where X and Y are...

A: The probability density function of standard normal distribution is as follows:

Q: New York Pizza, a bar on Magazine Street near Napoleon Avenue, has a dice game that works as follows...

A: It is given that 5 dice were rolled simultaneously, the probability of getting a number on the face ...

Q: Suppose you have a bag with ten balls in it, and each ball has a digit printed on it:0,1,2,3,4,5,6,7...

A: a) The required probability of pulling out the numbers “5”, “0”, and “4”, in that order can be obtai...

Q: Suppose the annual employer 401(k) cost per participant is normally distributed with a standard devi...

A: Click to see the answer

Q: What is the Expected Population Error Rate?

A: Click to see the answer

Q: An unknown metal has been found and the following experimental results have been tabulated in the ta...

A: Click to see the answer

Q: In an article that appears on the website of the American Statistical Asso-ciation (www.amstat.org/m...

A: The probability of a random test resulting in dirty is, Thus, the probability of a random test resu...

Q: A 2013 Pew survey asked, Do you feel that embryonic stem cell research is morally wrong?" Of the 200...

A: Determine for calculating a 99% confidence interval for the difference in proportions of men and wom...