The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a newformula (formula B) with that of the standard formula (formula A). Each of four judges is giventhree glasses in random order, two containing formula A and the other containing formula B.Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulasare equally attractive. Let Y be the number of judges stating a preference for the new formula.2.1.1 How can the mean and standard deviation be calculated2.2.2 Interpret the mean = 1.3333 and the standard deviation = 0.9428 of Y

Given Information: Consider Y be the number of judges stating a preference for the new formula…

Answered: The manufacturer of a low-calorie dairy…

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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(adapted from Johnson, 1980) Each semester, there are seven sections of a particular biology course, taught at various times by various instructors. The table below shows the number of students who selected each of the seven sections in Fall 2016. Do the data suggest that students have a preference for certain sections of the course? Perform a test of hypothesis using a = 0.05. In answering, be sure to address each of the five steps in a test of hypothesis. Number of students 1 18 2 12 3 25 Section 4 23 5 8 6 19 7 14
The manager of a local record store is interested in the effectiveness of an advertisingcampaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100),and place an ad in the local school newspaper saying that the store has these (and more)in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for1 week after the ad. The number of CDs sold each week is presented below. Was there anincrease in the number of CDs sold after the ad? Conduct a 6-step hypothesis test.CD Numbersold beforeadNumbersold after adA 25 32B 18 24C 3 7D 42 40E 16 19F 20 25G 23 23H 32 35I 60 65J 40 43 Please solve using 6 steps hypothesis and solve in excel
The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.
A chain of hardware stores is trying to sell more paint by mailing pamphlets describing the paint. In 15 communities containing one of these hardware stores, the paint sales (in dollars) were recorded for the months before and after the ads were sent out. The paired results for each store follow. Sales after 612 151 795 285 718 467 285 641 506 119 269 361 97 214 283 Sales before 462 212 647 259 688 436 229 479 374 119 115 369 94 295 435 (c) Find the sample test statistic. (Use 2 decimal places for the value of x in your calculations. Use 2 decimal places for your answer.)(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)
A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 359359 327327 232232 277277 250250 163163 191191 304304 216216 Grain B 331331 348348 176176 318318 205205…
In a study of pain relievers, 20 people were given product A, and 15 experienced relief. In the same study, 100 people were given product B, and 59 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) ▼ B X S
Only answer the last two questions: A group of 62 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricot, bananas, and cantaloupes. 34 liked apricots 30 liked bananas 33 liked cantaloupes 11 liked apricots and bananas 15 liked bananas and cantaloupes 17 liked apricots and cantaloupes 19 liked exactly two of the fruits How many students liked: a. bananas or apricots? Answer: 53 b. apricots and bananas but not cantaloupes? Answer: 3 c. cantaloupes or apricots but not bananas? Answer: 33 d. at least two of the fruits? _______ e. at most two of the fruits? ________Note: show the detailed and clear solution
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1. For her botany class project, Jennifer wonders if there is a connection between the average weight of watermelons a vine produces and the root depth of the vine. Jennifer suspects that vines with deeper roots have a better water supply and produce larger melons. From a large watermelon field, 10 vines are chosen at random. At the end of 8 weeks, the watermelons are removed from each vine and the average weight of the watermelons from each vine is determined. Each plant is carefully dug up and its root depth (or length) is measure. Let x represent the root depth (to the nearest inch) and y be the mean weight of the watermelons on the vine (in pounds). Suppose that x = 17, s, = 6, y = 12, s, = 5.1, and r = = 0.93. a. Find the equation of the least squares regression line (round a and b to the nearest tenth). b. List 2 points that you know will be on the least-squares line you found in part a. c. What percent of variation is accounted for by a linear relationship? d. Using part a.,…
A soap manufacturer is experimenting with several formulas of soap powder and three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows: Formula A: 35, 36, 44, 42, 37, 40 Formula B: 43, 44, 42, 32, 39, 41 Formula C: 46, 47, 40, 36, 45, 49 What is the sum of the ranks for Formula C? Select one: a. 78 b. 79 c. 77 d. 75 e. 80

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