Question

A local high school requires every student fill out a survey for incoming students. After all...

A local high school requires every student fill out a survey for incoming students. After all 1,250 students finish the survey, the information is compiled and used to get population parameters for the student body. Student Council is deciding whether or not to add a soda vending machine to the cafeteria. Luckily one of the questions on the incoming survey was “On average, how many soft drinks do you drink each day?” Looking at all of the responses, they find that the average is 2.3 drinks per day with a standard deviation of 1.0 drinks.

a. To begin, the Student Council wants to know about how many students drink soda in general. How likely is it that a randomly chosen student drinks 1 soft drink or

more each day?

b.One of the members on the Student Council thinks that one vending machine won’t be enough. How likely is it that a randomly chosen student drinks more

than 3 soft drinks per day?

c.To get a second opinion, the Student Council randomly chooses 9 students and asks them how many soft drinks they drink each day. They get a sample average of 4.1

and want to know if this is typical. Knowing the population parameters, how likely was it that a sample of 9 students would have an average of 4.1 or more?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a) P(X > 1)

= P((X - )/> (1 - )/)

= P(Z ​​​​​> (1 - 2.3)/1)

= P(Z > -1.3)

= 1 - P(Z < -1.3)

= 1 - 0.0968

= 0.9032

b) P(X > 3)

= P((X - )/ > (3 - )/)

= P(Z > (3 - 2.3)/1)

= P(Z > 0.7)

= 1 - P(Z < 0.7)

= 1 - 0.7580

= 0.2420

C) P(> 4.1)

= P(( - )/() > (4.1 - )/())

= P(Z > (4.1 - 2.3)/(1/) )

= P(Z > 5.4)

= 1 - P(Z < 5.4)

= 1 - 1 = 0

Add a comment
Know the answer?
Add Answer to:
A local high school requires every student fill out a survey for incoming students. After all...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • . (18 points) Many students have complained that the soft drink vending machine in the student...

    . (18 points) Many students have complained that the soft drink vending machine in the student recreation room (A) dispenses a different amount of soda than the machine in the faculty lounge (B). To test this belief, a student randomly sampled several servings from each machine and carefully measured them, with the results shown in the following table: MachineT Sample Size Sample MeanSample Standard Deviation 2 6 10 Assume that the amounts dispensed by both machines are independent and r...

  • A Waist is a Terrible Thing to Mind: The waist circumference of males 20 to 29...

    A Waist is a Terrible Thing to Mind: The waist circumference of males 20 to 29 years ele is approximately normally distributed, with mean 92.5 cm and standard deviation 13.5 Source: M.A. McDowell. CD. Fryar.R. Hirs for Children and Adults: U.S. Population. 1999-2002. Advance data from vital and health statistics: No. 361. Hyattsville, MD: National Center for Health Statistics, 2005. d CL. Ogden, Anthropometric Reference Data 5. Draw a normal curve with the parameters labeled. 92.5 What proportion of 20-...

  • Statistic Q1(a) Mr. Sweetheart likes sugar in his hot tea. He buys sugar packets from a...

    Statistic Q1(a) Mr. Sweetheart likes sugar in his hot tea. He buys sugar packets from a local grocery store. Suppose the amount of sugar in a packet follows a normal distribution with mean 2.17 grams and standard deviation 0.08 grams. The amount of sugar in a package should be between 2.13 and 2.21 grams. Otherwise, a packet is considered to be defective. i. What is the probability that a randomly selected packet is defective? ii. Three sugar packets are chosen...

  • 4 extra credit Juanita is a 19 year old college student of Hispanic descent. She is...

    4 extra credit Juanita is a 19 year old college student of Hispanic descent. She is 5'4' and weighs 170 lbs. Her entire family is overweight and her mother was diagnosed with diabetes last month. Her uncle has had diabetes since he was eight years old. Juanita's mother has told her that eating sugar is what causes diabetes and she is concerned that if her daughter does not change her diet she may develop diabetes as well. She has told...

  • Read about Cokes strategy in Africa in the article below and discuss the ethics of selling...

    Read about Cokes strategy in Africa in the article below and discuss the ethics of selling soft drinks to very poor people. Is this an issue that a company like Coke should consider? Africa: Coke's Last Frontier Sales are flat in developed countries. For Coke to keep growing, Africa is it By Duane Stanford Piles of trash are burning outside the Mamakamau Shop in Uthiru, a suburb of Nairobi, Kenya. Sewage trickles by in an open trench. Across the street,...

  • For each question below select the best answer from those listed and give your reasoning. Your...

    For each question below select the best answer from those listed and give your reasoning. Your reasoning need only be a sentence or two. It is not enough to get the right answer, you must know why it is the right answer. Question 5 Fred's friend claimed that Canadians tend to be jerks. Fred wondered if that was true, and tested it by checking to see how many Canadian jerks he could think of. Fred's cognitive strategy is             ["the availability...

  • Question 12 pts The length of time a person takes to decide which shoes to purchase...

    Question 12 pts The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual? Group of answer choices Probability is 0.88, which is usual as it is greater than 5% Probability is 0.12, which is usual as it is not...

  • Budgeting for an Academic Department at a State University: Can You Believe the Numbers? INTRODUCTION You...

    Budgeting for an Academic Department at a State University: Can You Believe the Numbers? INTRODUCTION You are the senior accounting faculty member in the business school and your dean, Dean Weller, is asking for help. She is very discouraged after a midyear budget meeting with the Vice President of Finance. The college's Department of Social Work has a large budget deficit, and because of this the VP is inclined towards closing the department entirely or closing its bachelor's program. The...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT