The quality control department of a fabric finishing plant is studying the effects of several factors on dyeing for a blendedcotton/synthetic cloth used to manufacture shirts. Two operators, two cycle times and two temperatures were selected, and threespecimens of cloth were dyed under each set of conditions. The finished cloth was compared to a standard, and a numerical scorewas assigned. The results are shown in the following tableTemperature30003500Cycle TimeOperator1Operator122327243830242823362526283536343734403538393836393536State and test the appropriate hypotheses using the analysis of variance with a =0.05

Answered: Image /qna-images/answer/ce35a849-581a-4055-b6e5-0aa2d5106a3d.jpg

Answered: The quality control department of a…

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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Researchers investigated whether elementary school students from families in need would choose healthier lunch options if offered. A random sample of students receiving free-and-reduced lunch at five different Connecticut elementary schools were offered a choice between 2 lunch options. One was a typical school lunch prepared off and warmed on campus, while the other was a healthier school lunch made on campus from a variety of fruits, vegetables, and lean protein. For each child, researchers kept track of whether or not the child selected the healthier option. The research question was whether of not the healthier option would be selected less than the typical school lunch. More specifically, we will investigate whether the sample data provide strong evidence that the heather lunch is picked less than 50% of the time? The researchers found in their sample of 294 students that 134 picked the healthier option. The value of the sample proportion who selected the candy is therefore…
An agriculturalist on a farm conducted a study to investigate whether ladybugs are effective in reducing damage caused by moths to the fruit of avocado trees. The agriculturalist randomly sampled 66 avocado trees from the farm and paired them based on size. One tree from each pair was randomly assigned to a greenhouse with ladybugs, and the other tree in the pair was assigned to a greenhouse without ladybugs. After one month, the number of damaged avocado fruit on each tree was recorded. All other variables were held constant over the one month period. The difference in the number of damaged avocado fruit per tree pair (without ladybugs minus with ladybugs) was calculated for each of the 33 pairs and is shown in the stemplot. Consider a scenario in which 5 tree pairs are randomly selected one at a time, with replacement, from the sample of 33 tree pairs. Let the random variable T represent the number of tree pairs out of the 5 selected with a positive difference in number of damaged…
An agriculturalist on a farm conducted a study to investigate whether ladybugs are effective in reducing damagecause by moths to the fruit of avocado trees. The agriculturalist randomly sampled 66 avocado trees from the farmand paired them based on size. One tree from each pair was randomly assigned to a greenhouse with ladybugs, andthe other tree in the pair was assigned to a green house without ladybugs. After one month, the number of damagedavocado fruit on each tree was recorded. All other variables were held constant over the one-month period. Thedifference in the number of damaged avocado fruit per tree pair (without ladybugs minus with ladybugs) wascalculated for each of the 33 pairs and is shown in the stem plot below. Difference in Number of Damaged Avocado Fruit Per Avocado Tree Pair-3 0 5 8 9-2 3 7 7 8-1 1 3 4-0 90 0 0 5 8 91 0 2 7 92 6 63 2 2 4 44 2 3 4 55 0 2 Key: = 52 Damaged Avocado Fruit a) Explain what a positive difference indicates in the context of the study. b)…
Four lighting methods were used in each of three rooms. For each method and each room, the illuminance (in lux) was measured in three separate occasions, resulting in three replications of the experiment. The only effect of interest is the lighting type; the room is a blocking factor. The following sums of squares were calculated: sum of squares for blocks = 11432, sum of squares for treatments = 9943, sum of squares for interactions = 6135, total sum of squares = 51376. a) Construct an ANOVA table. You may give ranges for the P-values. b) Are the assumptions for a randomized complete block design satisfied? Explain. c) Does the ANOVA table provide evidence that lighting type affects illuminance? Explain.
A sociologist wants to investigate the question, "Is there a relationship between texting during class and grade-point-average (GPA) among high school seniors in a large district?" Which study design is most appropriate? Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester, obtain each student’s GPA from the appropriate admissions and records office. Compare the GPA of students who routinely text during class to the GPA of students who do not text during class. Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester,…
A researcher is interested in estimating the extent to which posting caloric labels on menus changes the number of calories consumed by patrons. To test the impact of posting caloric labels on menu items, the analyst created two menus for the same restaurant: One menu with caloric labels and one menu without. As soon as restaurant guests entered the restaurant, they were randomly assigned one of the two types of menus. For the sake of clarity, guests assigned the menu with caloric labels are referred to as “Group 1” or the “treatment group”. Likewise, guests assigned the menu without caloric labels are referred to as “Group 2” or the control group. The analyst then collected data detailing how many calories each guest consumed as well as recording the age of each guest. The variable Cal1 denotes the number of calories consumed by guests who were assigned to the treatment group 1, while the variable Cal2 denotes the number of calories consumed by guests who were assigned to the control…
An ornithologist thinks that injections of follicle-stimulating hormone (FSH) increase the singing rate of his captive male cotingas (birds). To test this hypothesis, he randomly selects 20 singing cotingas and divides them into two groups of 10 birds each. The first group receives injections of FSH and the second gets injections of saline solution, as a control for the trauma of receiving an injection. He then records the singing rate (in songs per hour) for both groups. The results are given in the following table. Note that two of the FSH birds escaped during injection and were not replaced. a.) What is the alternative hypothesis? Use a directional alternative hypothesis. b.) What is the null hypothesis? c.) Using the Mann-Whitney U test and alpha=0.05tail what is your conclusion?
At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 500 TV's assembled in March. The tested TV's had an average retail price of $475, 2.4% had some type of defect, and 7 did not power up at all. The plant manager compared that to the total 6753 of TV's that were assembled during the month of March. They had an average retail price of $395 , 3.2% had been reported defective by customers, and did not power up at all. For the QA department's tests, identify the population and the sample. Choose whether each number described below is a parameter or a statistic for the QA department's tests. Number Parameter Statistic The 7 TV's of the random selection of 500 TV's that did not power up at all The 2.4% of the random selection of 500 TV's found to be defective The average retail price of $395 of all the TV's assembled during the month of March
In a small study, a local community college investigated different indicators of college success. They found that: 0.36 of enrolled students had a full time job, 0.75 of enrolled students were enrolled full-time, and 0.19 of students enrolled full-tme also had a full-time job. According to the results of this study, are the outcomes "have a full-time job" and "enrolled full-time independent?
A recent study claims that using music in a class enhances concentration and consequently helps students absorb more information. A researcherdecided to test this claim on a smaller group of randomly selected students from three different classes. Each classroom was provided with a different environment for students to study. Classroom A had constant music being played in the background, classroom B had variable music being played and classroom C was a regular class with no music playing. After one month, the researcher conducted a test for all the three groups and ranked their scores. What statistical test would be most appropriate for testing the research hypothesis? Explain your answer.
Researchers investigated the possible beneficial effect on heart health of crinking black tea and whether adding mikk to the tea reduces any possible benefit Tiventy-four volunteers Were randomly assigned to one of three groups Every day for month; participants in group drank twvo cups ofhot black tea without mikk; participants in group drank two cups of hot black tea with milk; and participants in group drank twvo cups ofhot water but no tea At the end of the month the fesearchers measured the change in each of the participants heart health. Is it reasonable to zeneralize the study beyond the 24 participants? Explain why or why not.
The researchers described using a "2 (depletion vs. no depletion) x2 (perseverance described as [hard] vs. easy) between-subjects design." Given this design, what were the distict cells or groups in the experiment? a. Non-depleted, depleted, perseverance described as easy, and perseverance described as hard b. Non-depleted with perseverance described as easy, non-depleted with perseverance described as hard, depleted with perseverance described as easy, and depleted with perseverance described as hard c. Depletion level and perseverance d. Non-depleted with perseverance described as easy and depleted with perseverance described as hard

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