You are a robotics engineer working for a large tech company. For one of your artificially intelligent robots, you are looking to see if the size of the datafile used to train the robot is predictive of the time the robot takes to complete a maze. You are going to collect a random sample of 9 attempts atcompleting the maze. You will note for each attempt the size of the data file (denoted by x, in MB) and the time (denoted by y, in seconds) to completethe maze. You will also note the product x'y of the size of the data file and the completion time for each attempt. (These products are written in the row画labeled "xy").(a) Click on "Take Sample" to see the results for your random sample.Data file size, x181.739.175.6138.993.452.8138.9124.3203.2(in MB)Completion time, y(in seconds)Take Sample14337132020134343525226488ху25,983.1 14,506.1 24,192 27,918.9 | 32,036.2 22,968 | 35,002.8 32,815.2 17,881.6Send data to calculatorBased on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places.When you are done, select "Compute". (In the table below, n is the sample size and the symbol E xy means the sum of the values xy.)8 回回D Send data to calculatorBased on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places.When you are done, select "Compute". (In the table below, n is the sample size and the symbol Exy means the sum of the values xy.)n: |Sample correlation coefficient (r):x:y:Slope (b,):y-intercept (b,):E xy: ]Compute

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Answered: You are a robotics engineer working for…

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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In 1940, 2,000 women working in a factory were recruited into a study. Half of the women worked in manufacturing and half in administrative offices. The incidence of bone cancer through 1970 among the 1,000 women working in manufacturing was compared with that of 1,000 women working in administrative offices. Thirty of the women in manufacturing developed bone cancer as compared to 9 of the women in administrative offices. Identify what type of study this is.
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. 5 6 7 Day Store 1 Store 2 1 Difference (Store 1 - Store 2) Send data to calculator ✓ 2 3 786 878 827 645 708 500 699 140 Yes No 4 646 802 712 579 527 367 76 115 66 181 133 8 (a) State the null hypothesis H and the alternative hypothesis H₁. H:D H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 970 9 10 11 12 618 679 762 635 271 572 324 215 698 530 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis…
Aidan is a goalie for his school’s hockey team. He normally stops 87% of the shots that come his way. In one particularly bad game, he let five of the 15 shots into the goal. He decides to cheer himself up by convincing himself that this game would be unusual for a goalie who stops 87% of the shots. He uses the table of random digits below using the rule that he will read across the row, two digits at a time, with 01–87 indicating a stop and 88–99 and 00 indicating a goal, until 15 attempts are recorded. 61373 70629 96541 81508 28214 06485 Which of the following statements about this random number table best describes the simulation? A. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate saves, so in this simulation, Aidan stopped 14 of 15 shots. B. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate goals, so in this simulation, Aidan…
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A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the sixteen stocks. (These products, written in the column labelled "xy ", may aid in calculations.) Earnings per share, x (in dollars) 36.79 49.84 30.65 30.17 17.66 57.66 37.98 20.65 58.67 13.52 41.83 39.28 43.73 Current stock price, y (in dollars) 1.43 1.56 0.81 1.40 0.77 2.64 1.11 0.70 2.18 0.41 1.80 1.05 1.63 ху 52.6097 77.7504 24.8265 42.238 13.5982 152.2224 42.1578 14.455 127.9006 5.5432 75.294 41.244 71.2799 Current stock…
Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value =…
A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 7.00 $ 48.97 5 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 5.50 44.47 4 7 0.50 6.24 1 22 3.00 20.27 2…
An athletic director proudly states that he has used the average GPAs of the university's sports teams and is predicting a high graduation rate for the teams. Why is this method unsafe? Choose the correct answer below. OA. This method is unsafe because the average GPA may differ for each team. Using the average of the average GPA of each team obscures the possibility that certain teams tend to perform less well in classes. B. This method is unsafe because there is more variation in the GPAs of the athletes than the average GPA of the university's sports teams. Strong students may offset weak students in calculating the average GPAS, which makes it appear more likely that most students are doing well. OC. This method is unsafe because it is dangerous to extrapolate into the future. Classes in university tend to become more difficult, which makes it less likely that the average GPA will hold as time goes on. D. This method is unsafe because there is a minimum GPA required to graduate. If…
You randomly recruit 23 students and tell each of them to come to the lab in two different mornings: each morning they will be offered some breakfast and will take a test. Each student will receive the light breakfast one time and the nutritious breakfast the other time (some will receive the light breakfast first, the others will receive the nutritious breakfast first, and the second time they switch). The average difference in a student’s score after eating the nutritious breakfast and their score after eating a light breakfast is 4.5, and the standard deviation of this difference is 3.6. (a) Construct a 95% confidence interval for the difference in the average score of students after having a nutritious breakfast and the average score of students after having a light breakfast.
A teacher was listening to some of her students talk about how many SnapChats they send during the day. The teacher decided that she wanted to conduct a study to see if the number of SnapChats a student sends per day affects how much time students talk to their friends face-to-face. So, the teacher let her 2nd period class continue sending Snaps as they always have. Then, the teacher told her 5th period that they were to not watch use SnapChat for a whole day. Then, the teacher had students record how many conversations they had with their friends during the week, gathered the data, and analyzed the results. c. What was the research question?

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