A magazine presented a lesson in hypothesis testing carried out by medicalstudents in a biostatistics class. Students were blind-folded and then givena red-colored or yellow-colored gummy bear to chew. (Half the students wererandomly assigned to receive the red gummy bear and half to receive the yellowbear. The students could not see what color gummy bear they were given.)After chewing, the students were asked to guess the color of the candy based onthe flavor. Of the 137 students who participated in the study, 94 correctlyidentified the color of the gummy bear. Complete parts a through c below.(Round to three decimal places as needed.)Make a conclusion. Choose the correct answer below.A. Reject the null hypothesis. There is sufficient evidence to conclude thatcolor and flavor are relatedB. Do not reject the null hypothesis. There is sufficient evidence toconclude that color and flavor are relatedC. Do not reject the null hypothesis. There is not sufficient evidence toconclude that color and flavor are relatedD. Reject the null hypothesis. There is not sufficient evidence to concludethat color and flavor are related A magazine presented a lesson in hypothesis testing carried out by medicalstudents in a biostatistics class. Students were blind-folded and then givena red-colored or yellow-colored gummy bear to chew. (Half the students wererandomly assigned to receive the red gummy bear and half to receive the yellowbear. The students could not see what color gummy bear they were given.)After chewing, the students were asked to guess the color of the candy based onthe flavor. Of the 137 students who participated in the study, 94 correctlyidentified the color of the gummy bear. Complete parts a through c below.a. If there is no relationship between color and gummy bear flavor, whatproportion of the population of students will correctly identify the color?(Type an integer or a decimal. Do not round.)b. Specify the null and alternative hypotheses for testing whether color and flavorare related. Let p be the true proportion of students who are able to correctlyidentify the color of the gummy bear.Ho: PH₂: P(Type integers or decimals. Do not round.)c. Carry out the test and give the appropriate conclusion at x = 0.05. Usethe p-value of the test to make your decision.

( a )If there is no relationship between color and gummy bear flavor, then the proportion of…

Answered: A magazine presented a lesson in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Example 2: Bryan coaches track and field at a local high school and during the previous season he got the impression that his 800m runners performed better when their races were in the morning as opposed to the afternoon. This season, he wanted to determine if his runners in fact performed better in the morning so he recorded all of their times for each race throughout the entire season. The data that he recorded for the morning and afternoon races are shown below. Carry out an appropriate hypothesis test at the a = 0.05 level to determine if his 800m runners performed better in the morning than in the afternoon. Sample Size Standard Deviation Average Morning 38 14 122 Afternoon 54 13 124
An anger-management courseclaims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let d= (participants after completing the anger-management course) −(participants before completing the anger-management course). Number of Times Temper Was Lost during a Two-Week Period Before 10 6 5 8 7 7 10 6 3 10 3 8 After 6 7 4 5 4 7 8 6 4 9 3 7 Step 2 of 3 : Compute the…
A student majoring in Business who has passed the Business Math course suspects that the average price of lunch at the canteen has increased during the pandemic. Before the pandemic, the price for lunch he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps without p value) ! b) Interpret (and explain) the results of point a above!
To earn full credit for this question, use your own sheet of paper to solve the problem, showing all steps of your work. A ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 9. A player wins $1 if the number on the ball is odd and loses $0.5 if the number is even.Let x be the amount of money a player will win/lose when playing this game, where x is negative when the player loses money.(a) Construct the probability distribution table for this game. Round your answers to two decimal places. Outcome x Probability P(x) (b) What is the expected value of player's winnings? Round to the nearest hundreth.(c) Interpret the meaning of the expected value in the context of this problem.
Forty-nine percent of all New York residents prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among New York residents who are Latino, 57% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Twenty-five percent of all New York residents are Latino. One New York resident is selected at random. For this problem, let: L = the selected New York resident is Latino. N = the selected New York resident prefers life in prison without parole over the death penalty for a person convicted of first degree murder. P(N) = %3D P(L) = P(N | L) = P(L AND N) = Are L and N mutually exclusive events? O There is not enough information to determine whether or not events N and L are mutually exclusive. O Events N and L are mutually exclusive. O Events N and L are not mutually exclusive. P(L OR N) =
Forty-nine percent of all New York residents prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among New York residents who are Latino, 57% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Twenty-five percent of all New York residents are Latino. One New York resident is selected at random. For this problem, let: L = the selected New York resident is Latino. N = the selected New York resident prefers life in prison without parole over the death penalty for a person convicted of first degree murder. P(N) = 49 P(L) = .25 P(N | L) = .57 P(L AND N) = Are L and N mutually exclusive events? O There is not enough information to determine whether or not events N andL are mutually exclusive. O Events N and L are mutually exclusive. O Events N and L are not mutually exclusive. P(L OR N) =
2.) A packaging company advertises that their product weighs on average 16 oz. You feel the box is much lighter than this, so you run a hypothesis test. a.) State the hypotheses. b.) What would be a type l error in this situation? c.) How could you decrease your chance of making a type I error? d.) What would be a type II error in this situation?
One classical experiment on ESP (extrasensory perception) tests for the ability of an individual to show telepathy. This test uses five cards with different designs, all known to both participants. In a trial, the “sender" sees a randomly chosen card and concentrates on its design. The “receiver" attempts to guess the identity of the card. Each of the five cards is equally likely to be chosen, and only one card is the correct answer at any point. Out of 10 trials, a receiver got 4 cards correct. Is there reliable evidence that the receiver has telepathic abilities? Carry out the appropriate test. Assume another (extremely hypothetical) individual tried to guess the ESP cards 1000 times and was correct 350 of those times. Carry out the appropriate test for whether the rate is different from the random guess rate. The result should be significant, yet the proportion of her successes is lower than the individual in part (a). Explain this apparent contradiction.
Use the following for questions 24 to 26: A large office building has four entrances through which people can enter. One of the four entrances has had improved landscaping installed. An industrial psychologist wanted to see if people tend to use the entrance that has the improved landscaping more often. Using the buildings video surveillance system he randomly selected 200 people who entered the building. He found that 80 (40%) of the 200 entered through the improved entrance. He would like to determine if this is significantly more than we would expect if all the entrances were equally likely. To determine this he will conduct a test of Ho: p=0.25 vs. Ha: p>0.25. 24. In carrying out his test what null distribution should he use? (0.4)(1-0.4) a. A normal distribution centered at 0.25 with standard deviation 200 (0.4)(1-0.4) b. A normal distribution centered at 0.40 with standard deviation 200 (0.25)(1-0.25) С. A normal distribution centered at 0.40 with standard deviation 200…
According to a recent census, 14.3% of all housing units in a certain country are vacant. A county supervisor wonders if her county is different from this. She randomly selects 893 housing units in her county and finds that 162 of the housing units are vacant. Complete parts a through d below. a) State the hypotheses. Let the proportion of housing units in the county that are vacant be denoted by p. Choose the correct answer below. OA. Ho: p<0.143 HA: P = 0.143 O C. Ho: p=0.143 HA: P<0.143 OB. Ho: p=0.143 HA: P = 0.143 O D. Ho: p20.143 HA: P<0.143 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Choose the correct answer below. Two-proportion t-test Difference in proportions test Proportional t-test O One-proportion z-test Check the appropriate conditions for a hypothesis test. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.) successes and nqo = than 10. OA. The…
A student majoring in Management who has passed the Business Statistics course suspects that the average price of lunch at the canteen has increased during the pandemic. Before the pandemic, the price for lunch he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps) ! b) Interpret (and explain) the results of point a above!
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…

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