Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 12.5, Problem 2LC
To determine
The treatments which are significantly different.
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If a One Way Between Subjects ANOVA study involves 3 groups and a total of 30 subjects, the df between is df within is and the
Previous research has established that nationwide, for older adults, the average score on the Beck Depression Inventory (BDI-II) is 8.13 with σ = 1.56. A researcher working in a nursing home wants to know if depression levels are different for older adults living in a nursing home compared to older adults nationwide. He takes a random sample of 200 adults living in a nursing home facility and gives them each the BDI-II. The average for his sample is 8.45. Is there a difference in the BDI-II scores of those living in a nursing home compared to those living in their own homes? Test with an a = 0.01.
Consider the following:
In general, when people diet they typically lose 10 lbs. (?σ = 2).
A random sample of 16 people on the keto diet lost 15 lbs.
Do people on the keto diet lose more or less weight than people on diets in general?
4. What is the research hypothesis?
a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu)
b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu)
c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)
d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)
Chapter 12 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 12.1 - How many levels are there in a single-factor...Ch. 12.1 - When is the distinction between the testwise alpha...Ch. 12.1 - Which of the following accurately describes the...Ch. 12.2 - For an analysis of variance, the differences...Ch. 12.2 - What is suggested by a large value for the F-ratio...Ch. 12.3 - An analysis of variances produces dfbetween...Ch. 12.3 - An analysis of variance is used to evaluate the...Ch. 12.3 - A research study compares three treatments with n...Ch. 12.4 - A researcher uses analysis of variance to test for...Ch. 12.4 - The following table shows the results of an...
Ch. 12.4 - A research report concludes that there are...Ch. 12.5 - Under what circumstances are post hoc tests...Ch. 12.5 - Prob. 2LCCh. 12.6 - Which combination of factors is most likely to...Ch. 12.6 - If an analysis of variance is used for the...Ch. 12.6 - A researcher uses an ANOVA to evaluate the mean...Ch. 12 - Why should you use ANOVA instead of several t...Ch. 12 - What value is expected for the F-ratio, on...Ch. 12 - Describe the similarities between an F-ratio and a...Ch. 12 - Calculate SSwith, SSbetween, SSwithin for the...Ch. 12 - A researcher uses an ANOVA to compare three...Ch. 12 - A researcher reports an F-ratio with dfbetween2...Ch. 12 - A researcher reports an F -ratio with df = 3.24...Ch. 12 - The following values are from an...Ch. 12 - A researcher conducts an experiment comparing four...Ch. 12 - The following summary table presents the results...Ch. 12 - A developmental psychologist is examining the...Ch. 12 - The following data were obtained from an...Ch. 12 - The following data were obtained from an...Ch. 12 - A research study comparing three treatment...Ch. 12 - The following values are from an...Ch. 12 - A research report from an independent-measures...Ch. 12 - Several factors influence the size of the F-ratio....Ch. 12 - A researcher used ANOVA and computed F = 4.25 for...Ch. 12 - The following Data were obtained from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - To create the following data we started with the...Ch. 12 - An ANOVA produces an F-ratio with df 1.34. Could...Ch. 12 - The following scores are from an independent...
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- In the cancer institute of Philippine General Hospital, there were 529 patients who undergo chemotherapy and 326 patients undergoing radiotherapy. Physicians found out that at baseline assessment, 249 subjects in the chemotherapy group were underweight, while at baseline, 134 patients under the radiotherapy group were underweight. Is there a significant difference in the presence of "underweight" nutritional status between the two groups of this study? Hypothesis for two proportion is possible since the computed n1P and n2Q values are as ____ and ____ respectively which are > 5. a. 179.3, 146.7 b. 238.05, 179.3 c. 238.3, 290.95 d. 179.3, 290.95arrow_forwardA concern was raised in Australia that the percentage of deaths of Aboriginal prisoners which is 0.27% was higher than the percent of deaths of non-Aboriginal prisoners. A sample of six years (from 1990 to 1995) of data was collected, and it was found that out of 14,495 Aboriginal prisoners, 51 died. Do the data provide enough evidence to show that the proportion of deaths of Aboriginal prisoners is more than 0.27%?arrow_forwardAccording to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a) Is the normality condition met for this test? (see picture) No, since the histograms show skewness and outliers . Yes, since both sample sizes are larger than 30. No, since both sample sizes, nY and nS, are less than 30. Yes, since it was stated that the two populations are normally distributed. b)What are the correct degrees of freedom for this test? Group of answer choices 999 1000 1712 1711 711arrow_forward
- According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a)Suppose the test statistic is t = 2.398. What is the associated p-value? Group of answer choices 0.001 < p-value < 0.002 0.005 < p-value < 0.01 0.01 < p-value < 0.02 0.0005 < p-value < 0.001 b) Suppose the p-value is 0.02 < p-value < 0.04. At α = 0.10 what is the appropriate conclusion to make? Group of answer choices Fail to reject H0 and conclude that the mean weight of all males ages 20-29 is greater than the mean weight of all…arrow_forwardAccording to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. A) What are the correct null and alternative hypotheses? B)What is the parameter of interest? The difference between the mean weight of all males ages 20-29 and the mean weight of all males ages 75+ The mean weight (in kg) The difference between the mean weight of the sample of males ages 20-29 and the mean weight of the sample of males ages 75+ The mean difference between the weights of males ages 20-29 and males ages 75+ c)Is the randomness condition met for…arrow_forwardA survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.arrow_forward
- The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected: child. # of soft drinks consumed BMI 1 3 20 2 1 18 3…arrow_forwardSuppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood. (a) Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? to (b) If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense. The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.arrow_forward
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