**Probability and Decision Trees in Restaurant Orders**The manager of a fast-food restaurant has determined the distribution of sandwich orders among customers as follows:- 55% of customers order a sandwich with meat.- 23% order a fish sandwich.- The remainder of customers (22%) order a vegetarian sandwich.Further detailed observations include:- 65% of customers who order a meat sandwich also order french fries.- 45% of customers who order a vegetarian sandwich order french fries.- 65% of fish sandwich customers do not order french fries.**Task:**If a customer has just ordered french fries, we are tasked with determining the probability that this customer also ordered a fish sandwich. The method to solve this is the decision tree approach.**Instructions:**Create a decision tree with labels to calculate this probability. Be sure to include all branches and corresponding probabilities. (SHOW WORK)

Given that the manager of a fast-food restaurant has determined that 0.55 of all customers order a…

Answered: 5. The manager of a fast-food…

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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Monica, a chef at a 5-star restaurant makes eight different desserts. She wants to see if the customers prefer any specific dessert to another. She keeps a record of desserts ordered over the course of several weeks, and the results are summarized in the table below. Is there sufficient evidence to conclude that the customers prefer some specific dessert to another? Use α=0.025 Dessert Frequency Chocolate Mousse 25 Baked Alaska 14 Orange Cheesecake 23 Caramel Flan 32 Banana Broulee 40 Mississippi Mud Pie 20 Ricotta Cannoli 38 French Walnut Torte 34 x =c(25,14,23,32,40,20,38,34)chisq.test(x) What is the null hypothesis? Answer 1 What is an appropriate alternative hypothesis? Answer 2 Compute the test value. Answer 3 Find the p-value. Answer 4 Is there sufficient evidence to support the alternative hypothesis?
A telecommunications company provided its cable tv subscribers with free access to a new channel for a month. It then chose a sample of 700 viewers and asked them whether they would be willing to pay an extra $10 per month to continue access to the channel. Total of 33 replied that they would be willing to pay. The marketing director of the company claims that more than 5% of all its subscribers would be willing to pay. Can you conclude that the directors claim is true? Use 0.01 level of significance.
Forty-eight percent of all California registered voters prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. 37.6% of all Californians are Latino.In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first-degree murder.• L = Latino Californians 9. In words, what is L OR C?10. Are L and C mutually exclusive events? Show why or why not.
At a tourist place, it has been observed that: 40% of the women like to travel with a Purse, 30% of the women like to travel with a Sunglass, 35% of the women like to travel with a Watch, and it is also noted that: 12% of the women like to travel with a Purse and a Sunglass, 3% of the women like to travel with all these three luxuries, 10% of the women like to travel with a Purse and a Watch, and 8% of the women like to travel only with a Sunglass. Purse Watch Sunglass Modern women like luxury. A woman What percentages of the women like to travel with Watch only? a. 30% b. 27% ♥ What percentages of the women do not like to carry them C. 40% (Purse, Sunglass, Watch)? v What percentages of women like to travel with Purse only? v What percentages of women like to travel with both Watch f. 13% and Sunglass? d. 65% e. 15% g. 52% v What percentages of women like to travel either with Watch or with Sunglass? v What percentages of women like to travel with Sunglass only? h. 8% i. 21%
A researcher wants to determine whether adolescents spend more time in a day around friends than adults do. He gathers a sample of n =10 adolescents (aged 12-17) and a sample of n =6 adults (aged 25-32). The researcher finds that the average time spent around friends for adolescents is M1= 3 hours with a SS1 of 44. He also finds that the average time spent around friends for adults is M2= 2 hours with a SS2 of 40. a. Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01? b. What is the variance? c. What is the estimated standard error? d. What is the value of the t statistic? e. Do we reject or fail to reject the null hypothesis (α = .01)? Why? f. Calculate and report the variance explained ( r2)
In a study of pain relievers, 50 people were given product A, and all but 10 experienced relief. In the same study, 20 people were given product B, and all but 3 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product ▼(Choose one) performed worse in the study. That is because % failed to get relief with this product, whereas only % failed to get relief with Product ▼(Choose one).
A researcher is interested in understanding if there is a difference in the proportion of undergrad and grad students at UCI who prefer online teaching to in person teaching, at the a = 0.05 level. They take 2 samples, first, a sample of 300 undergrad students. The second, is a sample of 172 grad students. Of the undergrads, 186 said they preferred online lectures, and of the graduate students, 104 said that they prefer online lectures. Let p₁ = the proportion of undergrad students who prefer online class and p2 = the proportion of grad students who prefer online lectures. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in context of the problem). (b) Calculate the test statistic. (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic under Ho. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at…
8
The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 4 41 15 36 ok 1. 46 4. 27 3 6. 35 10 43 8 217 146 130 9 Coke Classic New Coke Pepsi 133 114 82 10 86 143 98 123 152 48 52 62 39 62 122 53 71 64 110 at Two-way ANOVA: Cans versus Drink Building nces Source Drink Building DF 2 9. SS 8,147.4 4,073.70 53,434.8 5,937.20 12,914.6 MS F 5.68 8.28 .012 .000 Error 18 717.48 Total 29 74,496.8 Descriptive Statistics:…
I conduct an online study to determine whether rewards reduce procrastination. All participants are asked to complete a task sometime before a deadline (10 days from now). The computer randomly assigns participants to one of three groups, and emails them their instructions; one group receives a reward as soon as they do the task (contingent reward); a second group receives rewards as soon as they finish the task as long as it is before the deadline (non-contingent reward) and the third group does not receive rewards at all (no reward). Three participants in the no reward condition do not complete the task, and so are dropped from analyses. The dependent variable is the amount of time (in days) it takes participants to complete the task. The JAMOVI output is attached. Post-hoc Tukey tests show that... (select all that apply) ANOVA ANOVA - Time Reward Residuals Assumption Checks Homogeneity of Variances Test (Levene's) F df1 df2 0.056 Statistic 0.964 Sum of Squares df Mean Square F…
A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at the end of a meeting would encourage office workers to have a higher output to their work based on the numbers of sales each workers made. The group tested 10 participants that were in two conditions where one meeting ended in a motivational speech and another were no motivational speech was given. Here are the number of sales that was produced by the 10 participants for both conditions: Yes speech: 2, 6, 1, 9, 3, 12, 8, 0, 5, 1No speech: 3, 0, 5, 10, 1, 8, 2, 1, 9, 11Use the four steps of hypothesis testing to find out if there is a significant difference between the two groups, using APA format to answer the question.

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