I originaly posted this question 6 hours ago and still have not received an answ
ID: 3202917 • Letter: I
Question
I originaly posted this question 6 hours ago and still have not received an answer. This assignment is due in an hour. Please Answer ASAP
A famous (in statistical circles) study involves a woman who claimed to be able to tell whether tea or milk was poured first into a cup. She was presented with cups containing a mixture of tea and milk, and she correctly identified which had been poured first for all eight cups.
A.) Identify the observational units and the variable in this study. Observational unit:
B.) Identify the parameter for this study.
C.) Identify the sample size. Also identify the observed value of the statistic for this study.
D.) Is it possible that the woman could get all eight correct if she were randomly guessing with each cup? (.5 pts)
E.) Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup? (Answer for now based on your intuition, without doing any analysis.) (.5 pts)
F.) Describe how you can use a coin to address the question “Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup?” Be sure to include details such as how many times you would toss the coin and why; what would “heads” and “tails” stand for; what you would record after each set of coin tosses; how many times you would repeat this process. (2 pts)
G.) How is the repeated coin tossing going to help you address the question?
H.) Now use the One Proportion applet simulation to answer the question “Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup?” Screenshot your simulation (inputs and results) and paste it below.
I.) Answer the question from (f), being sure to explain how your answer follows from your simulation results.
J.) Based on your simulation analysis, would you conclude that the woman’s result produces strong evidence that she is not guessing as to whether milk or tea was poured first? Also explain the reasoning process behind your answer.
K.) Suppose that I try to discern whether tea or milk is poured first for 8 cups and make the correct identification 5 times. I say “5 out of 8 is more than half, so one must conclude that I’m doing better than random guessing.” How would you respond? Use your simulation results in your response.
Please include work with all necessary answers.
Explanation / Answer
A) observational units : cups
variable : mixture of tea and milk
B.) parameter will be : Color of mixture (Attributes) ,Thickness of mixture ,weight of mixture
C) According to above statement ,she correctly identified the mixture fo all 8 cups, which implies margin of error would be 1% only and confidence interval will be 99%. implies sample size would be 100.
D) Yes it is possible because probability of guessing all the answers RIGHT is Exists with value 1 (as range of probability is 0 to 1 , hence sure event is there as well in the range , thats why it is possible)
E) No it is not unlikely, May she is using some machine learning ALGORITHM - like k means clustering to solve the problem of classifying but here the trials are loss , we need more trials to happen to be sure if she is using Artifical intelligence techniquues.
F)please use above answer for this.
G) And also other point of view of this question would be ,as tossing of coin states that chance of getting head and tail is equal i.e P(H) and P(T) = 1/2. means probability of getting success is equally likely, which implies may be the woman answered correctly by chance .(this explaination can also be used to answer above parts ,i.e for part (E) it is likely in this case as welll. (F) number of trials should be 100 to reach exact solution if she is using machine learning techniques or just randomly guess but accurately by chance.)