A survey has been done among the customer groups of a multi‐cuisine restaurant to analyze customers’ preferences. The survey was conducted among 100 customer groups. Among the sampled customer groups, there were 40 family groups and among these groups 15 chose Indian, 11 chose Chinese, 8 chose Italian and the rest chose Thai menu. There were 30 friends groups and among these groups 7 chose Indian, 5 chose Chinese, 10 chose Italian and the rest chose Thai menu. The rest of the groups were colleagues groups and among them 11 chose Indian, 8 chose Chinese, 4 chose Italian and the rest chose Thai menu. Now answer the following: a. Your first task is to find two variables, T (Customer Group Type) and C (Cuisine Type). Find the joint distribution table P(T, C) b. Find P(C|T).

A survey has been done among the customer groups of a multi‐cuisine restaurant to analyze customers’ preferences. The survey was conducted among 100 customer groups. Among the sampled customer groups, there were 40 family groups and among these groups 15 chose Indian, 11 chose Chinese, 8 chose Italian and the rest chose Thai menu. There were 30 friends groups and among these groups 7 chose Indian, 5 chose Chinese, 10 chose Italian and the rest chose Thai menu. The rest of the groups were colleagues groups and among them 11 chose Indian, 8 chose Chinese, 4 chose Italian and the rest chose Thai menu. Now answer the following: a. Your first task is to find two variables, T (Customer Group Type) and C (Cuisine Type). Find the joint distribution table P(T, C) b. Find P(C|T).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is (3 dec places).The distribution is (examples: normal / t12 /…
One of the basketball coaches chose 45 players for the purpose of knowing their speed on running and scoring on the net, for the purpose of creating a good team, and he evaluated the results of each player in terms of running and scoring by putting the word "good or not good". Good 7 players have good running speed but net scoring is not good 8 players have not good running speed but net scoring is good 10 players have bad running speed and net scoring is not good Test at 5% importance level What is the running speed and scoring on the net network independent
As a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC. The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night. A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate. 85 homes were watching CNN and NSNBC cable stations. At the 0.05 significant level, can we conclude that the guideline is still reasonable?
According to Inc.com, 71% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. A survey of 22- to 30 -year-old job seekers showed that 310 of the 370 respondents use social media in their job search. In addition, 275 of the 370 respondents indicated they have electronically submitted a resume to an employer.
4. The numbers of incorrect answers on a true-false test for 15 students were recorded as follows: 2, 1, 3, 0, 1, 3, 6, 0, 3, 3, 5, 2, 1, 4, 2. Find the median and the mode.
Camille for her part wants to assess the impact of an awareness campaign aimed at reducing the amount of household food waste. The campaign is taking place in a subset of neighborhoods of Ville de Montréal. Camille’s objective is to compare the average amount of food waste produced in those neighborhoods, with that in neighborhoods not targeted by the campaign. Therefore, she randomly chooses five neighborhoods targeted by the campaign and five neighborhoods where the campaign does not take place. In each of the 10 neighborhoods, she monitors the weekly amount of food waste (kg) for each of a number of households, and calculates amounts on a per household basis; see below. Is the amount of food waste per household in the neighborhoods targeted by the campaign lower, on average, than in those not targeted by the campaign? Use α= 0.05.
A study on the relationship between watching TV as a child and violent acts as an adult, researchers followed the TV viewing habits of children between 1 and 10 years old. Of these kids, 85 watched less than 1 hour of TV per day, 350 watched between 13 hours, and 280 watched more than 3 hours per day. Ten years later, researchers evaluated the kids to determine if they had a criminal record. The number of aggressive acts by these children in these categories were 8, 84, and 68, respectively. Draw a contingency table with these observed results in the space below. Insert a similar table for the Expected results of HO: The amount of TV watching and violence are not associated. In reference to the TV watching question above, what is the value of your test statistic for this statistical test you would choose? For the TV watching data above, which of the choices below best matches your interpretation of the results for this statistical test? Group of answer choices a) The results were…
The GfK Custom Research Organization conducted identical surveys five years apart. One question asked women: “Are most men basically kind, gentle, and thoughtful"? The earlier survey revealed that, of the 3550 women surveyed, 2350 said that they were. In the later survey, 2250 of the 3550 women surveyed thought that men were kind, gentle, and thoughtful. Can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one? Use 0.01 significance level. Calculate and interpret the p-value. a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.) The decision rule is to reject Ho if z is less than b. Compute the pooled proportion. (Round the final answer to 2 decimal places.) The pooled proportion is: c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) The test statistic is:…
During the pandemic, an HR manager randomly assigned 6 employees to work from homeand the other 6 employees to work from the office as usual. After three months, all 12employees’ job performance was tested. Scores for those working from home were 10, 12,14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.The HR manager then compares the scores from both groups to determine which groupscores significantly higher.Based on the experiment above,a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level ofsignificance at one-tailed. Explain your finding.b) Sketch the t-distribution involved.
A doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5. What is the value of the chi-square test statistic? χ‑2 = 5.03 χ‑2 = 6.26 χ‑2 = 25.33 χ‑2 = 39.22