The average amount of money spent for lunch per person in the college cafeteria is $7.37 and the standard deviation is $2.85. Suppose that 16 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $7.16. For the group of 16 patrons, find the probability that the average lunch cost is between $6.32 and $7.16. For part d), is the assumption that the distribution is normal necessary? NoYes

Question
Asked Nov 14, 2019
1 views

The average amount of money spent for lunch per person in the college cafeteria is $7.37 and the standard deviation is $2.85. Suppose that 16 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $7.16. 
  4. For the group of 16 patrons, find the probability that the average lunch cost is between $6.32 and $7.16. 
  5. For part d), is the assumption that the distribution is normal necessary? NoYes
check_circle

Expert Answer

Step 1

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are solving the first 3 parts for you, according to our policy. If you need help with any of the other parts, please re-post the question and mention the part you want answered.

Step 2

It is given that the mean and standard deviation are $7.37 and $2.85, respectively.

a)

Here, the distribution of money spent is normal. Th...

and o
/n
help_outline

Image Transcriptionclose

and o /n

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Using the uniform probability density function:U f(x)=1-(b-a) for a<=x<=b 0 elsewhere The labe...

A: Continuous uniform distribution:A random variable X is said to have the rectangular distribution or ...

question_answer

Q: Suppose 234 subjects are treated with a drug that is used to treat pain and 55 of them developed nau...

A: Here, the claim of the test is that more than 20% of users develop nausea. This is representing in a...

question_answer

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as ...

A: Part a:The test must be performed using α = 0.01. Hence, the level of significance is 0.01.

question_answer

Q: Is the national crime rate really going down? Some sociologists say yes! They say that the reason fo...

A: Given information:Significance level = 0.01Favorable outcome = 19Total outcome (n) = 37

question_answer

Q: I need help finding the answer on the TI84 Plus CE and on paper ?. Thank you

A: It is given that margin of error (E) is 0.10 and the confidence level is 90%.

question_answer

Q: Sickle cell anemia is a genetic blood disorder. If both parents are carriers of the disease, then a ...

A: It is given that p is 0.25 and x is 3. 

question_answer

Q: The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a...

A: It is given that probability of passing the bar exam in a certain state is 2/3. Therefore, the proba...

question_answer

Q: For a normal distribution, identify the z-score location that would separate the distribution into 2...

A: 1.Step-by-step procedure to obtain the z-score location using MINITAB:Choose Graph > Probability ...

question_answer

Q: List the four assumptions for the two-way (or factorial) ANOVA.

A:  The required four assumption for two-way ANOVA as follows;