Researchers investigated the effect of calorie-restricted diets on the longevity ofmice. They conducted an experiment, randomly assigning each of 331 mice to one of6 different diets:• A control group that were allowed to eat an unlimited amount.• R1, R2, R3, R4, and R5. These were 5 increasingly calorie restricted diets.The mice were fed the diets until they died. The survival time, in months, wasrecorded. As part of the analysis, the researchers carried out a one-way ANOVA.The side-by-side boxplots of the survival times and the ANOVA table are givenbelow.706050Survival Time (Months)403020NPR1DietsResiduals 325 14477.1-R2DietDE Sun Sq Mean Sq F value Pr(>F)5 12267.4 2453.5 55.079 <2.2e-1644.5R3DDR4Which of the following statements are true? There may be more than one correctstatement; check all that area true.R5a) There is strong evidence that not all of the diets have the same true meansurvival time.b) The p-value in the ANOVA table is the area to the right of 55.079 under an Fdistribution with 5 and 325 degrees of freedom.c) We know with certainty that the sample means are not all equal.d) Since there are 6 groups, there are 12 pairwise comparisons to beinvestigated

k= 6 treatments or groups n= 331 Total observation

Answered: Researchers investigated the effect of…

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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A health scientist is testing the effectiveness of three different diets (Diet A, Diet B, and Diet C). To determine diet effectiveness, a group of 72 participants were weighed and then randomly assigned to adhere to one of the three diets for a month (N = 24 for each group). At the end of the month, each participant was weighed again and the amount of weight lost was calculated in kilograms (kg). Using the variables “Diet” and “Weight Loss kg”, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, AND conduct Tukey's Post Hoc testing to find out which of the three diets was most effective. Identify the correct symbolic notation for the alternative hypothesis. A. HA: µ1 ≠ µ2 ≠ µ3 B. H0: µ1 = µ2 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2
A health scientist is testing the effectiveness of three different diets (Diet A, Diet B, and Diet C). To determine diet effectiveness, a group of 72 participants were weighed and then randomly assigned to adhere to one of the three diets for a month (N = 24 for each group). At the end of the month, each participant was weighed again and the amount of weight lost was calculated in kilograms (kg). Using the variables “Diet” and “Weight Loss kg”, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, AND conduct Tukey's Post Hoc testing to find out which of the three diets was most effective. Identify the correct symbolic notation for the null hypothesis. A. HA: µ1 ≠ µ2 B. H0: µ1 = µ2 = µ3 C. HA: µ1 ≠ µ2 ≠ µ3 D. H0: µ1 = µ2
A recent study investigated whether cell phone users experience separation anxiety when they cannot access their phones. Because blood pressure increases with anxiety, the researchers used systolic blood pressure as an operational measure of anxiety. The experiment involved a random sample of cell phone users that were divided into two groups at random. One group of participants completed a survey while their phones were locked in a cabinet in a separate room and the other group of participants completed the same survey while their phones were nearby. (The survey questions were unrelated to cell phone use.) At the end of the survey, theresearchers measured each participant's systolic blood pressure. The same experiment was conducted in Montreal, Toronto, Vancouver, and St. Zotique. The blood pressure data needed is below. Use these data to answer the following question: compute r2 for the data collected in st. zotique. Please answer to 5 decimal places. Cell Phone (CP) No Cell Phone…
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According to a job website, each job opening on average attracted 250 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer unemployed workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each job opening. Their answers are shown in the accompanying table. Using a = 0.05, complete parts a through d. Click the icon to view the data on résumés received. a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Ho: H₁: (Type integers or decimals. Do not round.)
In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person per million grams emitted, that would be inhaled while traveling on the bus during its usual 18-mile18-mile trip on congested freeways from South Central LA to a magnet school in West LA. (In comparison, a city of 11 million people will inhale a total of about 1212 grams of exhaust per million grams emitted.) The amounts for the nine buses when driven with the windows open are given in the table. 1.15 0.33 0.40 0.33 1.35 0.38 0.25 0.40 0.35 A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give the 90%90% confidence interval with all the data for the mean pollution intake among all school buses used in the Southern California Air Basin that…
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded. What is the response variable in this experiment? the age of each golfer the 200 volunteers the length of shots played by the golfers whether the golfers wear or do not wear the bracelet
A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two groups. Both groups were told to eat the amount they usually eat for lunch at noon. At 2:00 P.M., all subjects were given the alertness test. Group A had a low-fat lunch with no red meat, lots of vegetables, carbohydrates, and fiber. Group B had a high-fat lunch with red meat, vegetable oils, and low fiber. The only drink for both groups was water. The test scores are shown below. Group A 75 82 96 54 78 59 67 53 97 85 66 Group B 70 80 79 60 62 71 52 69 64 88 51 74 Use a 10% level of significance to test the claim that there is no difference in mental alertness distributions based on type of lunch. (a) What is the level of significance?State the null and alternate hypotheses. Ho: Distributions are different. H1: Distributions are the same.Ho: Distributions are the same. H1:…
To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? What is the null hypothesis? What is the research hypothesis?
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