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

See similar textbooks

Similar questions

A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers put an ad online asking for volunteers to participate in the study. One hundred subjects replied and were informed that one group would receive the new cream and the other would receive a cream with no active ingredient. All 100 subjects were exposed to poison ivy. Fifty were then assigned to the group with the new cream, and 50 were assigned to the group with the cream with no active ingredient. After three days, technicians recorded the subjects’ level of irritation. Which of the following would benefit this experiment the most? This experiment should be single blind. The subjects will not know which treatment they are receiving to control for the placebo effect, but the technicians need to know which group received the new cream. This experiment should be double blind. Neither the subject nor the technician knows which group is receiving the new cream to control for…
Active is an energy drink that claims to provide physical strength. To test this claim, the producers of Active conducted a study. The company recruited 25 high school athletes and 4 professional football players to participate in the study. The high school athletes were each randomly assigned to drink between 1 and 5 ounces of Active. The professional football players were assigned to drink either 30 or 31 ounces. After waiting 10 minutes they completed as many pull-ups as they could. Here is a scatterplot showing the number of energy drinks consumed and the number of pull ups that were completed by each participant, as well as a line of best fit. Which of the following would increase if the professional football players were removed from the data set? (A) rr (B) r^2r2 (C) the slope (D) the standard deviation of the residuals (E) None of the above.
A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age groups. The groups differ according to the age of subjects. In group one, all participants are 30 years old. Group 2, 40 years old. Group 3, 50 years old. And group 4, 60 years old. Assume that the participants are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each participant is shown a series of nonsense syllables ( a meaningless combination of three letters such as Daf or FUM ) at a rate of one syllable every four seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant. 30 years old 14 13 15 17 12 10 40 years old 12 15 16 11 12 18 50 years old 17 14 14 9 13 15 60 years old 13 10 7 8 6 9 what is the alternative and null…
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 67 93 82 69 76 47 43 58 92 63 52 Group B 70 57 75 59 66 49 55 46 45 91 89 72 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? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
StarHortons Cup, the coffee company, wants to determine how long caffeine lasts throughout the day when individuals have a cup of one of their 3 types of coffee at 9am. They will then measure the levels of caffeine in these individuals’ systems at 10am, 12am, 2pm, 4pm, 6pm and 8pm. They want to have at least 20 observations per group. How many separate/distinct groups of participants are needed if they want to conduct this experiment using a mixed-measures ANOVA? 18 6 20 3
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…
A pharmaceutical company is testing the effectiveness of its vaccine across two different age brackets. They take a sample and split the participants up into two separate groups. Group A consists of 44 people who are between ages 13 and 18. Group B consists of 58 people between ages 19 and 26. After being administered the vaccine, it was found that 37 people from group A were immune to the virus and 42 people from group B were immune. What proportion of people from Group A were immune? What proportion of people from Group B were immune? What proportion of people in this study were immune?
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:…
A researcher finds 1000 mildly overweight women who exercise regularly, have not had a heart attack, and are willing to participate in the study. She randomly assigns 500 of the women to take an appetite suppressant. The other 500 women are given a placebo. Both groups are followed for five years, and the amount of weight lost after this time is recorded. The response variable in the experiment is: a. the use of a control group taking a placebo. b. the length of the study. c. the weight lost by women in the study. d. the treatment taken by women in the study—appetite suppressant or placebo.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS