30. The following 20 observations are for two quantitative variables, x and y. Observation y Observation y -22 -33 22 49 -37 34 1 11 48 12 13 2 - 29 3 2 8 9 -18 - 16 10 14 15 29 31 - 33 20 4 5 - 13 -16 21 -28 16 -3 14 - 13 -23 7 27 17 18 8 9 35 -5 -3 -15 12 - 20 18 17 14 19 11 10 3 20 -7 -22
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- Suppose a researcher is interested in the relationship between periodontal disease and a number of negative health outcomes. One outcome of particular interest to the researcher is hypertension (assume defined as systolic blood pressure above 140 mmHG). Suppose a team gathers a SRS of 348 participants with periodontal disease, and finds the sample average systolic blood pressure to be 157 mmHG. A) Using an assumed σ=16 mmHG, conduct a 1 sample Z test to determine if there is a relationship between periodontal disease and hypertension in this population. (Use α=0.05)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 = 0.01.2.Areal estate company wants to study the relationship between Home price (in OMR 1000) and the following variables: Floor size (in 100 square feet) (X,). Type of Heating (X, 1. if electricity and X, =0, if Gas), Location of home (X= 1. if in town and X, = 0, if in village). Use this to answer the following questions: Then the critical value for testing Họ: Bo =0 against H Bo 0 at 5% level is A. +2.201 B. +1.812 C. 1.796 D. None E 12.228
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- 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…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) 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…If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? a. single sample t test b. between-subjects, one-way ANOVA. c. chi square goodness of fit test d. single-sample z test
- Suppose the correlation coefficient between FEV for 100 sets of identical twins is .7, whereas the comparable correlation for 120 sets of fraternal twins is .38.11.9 What test procedure can be used to compare the two correlation coefficients?11.10 Perform the procedure in Problem 11.9 using the critical-value method.11.11 What is the p-value of the test?Suppose the correlation coefficient between weight is .78 for the 100 sets of identical twins and .50 for the 120 sets of fraternal twins.11.12 Test for whether the true correlation coefficients differ between these groups. Report a p-value.A survey of 28 employed workers found that the correlation coefficient between the number of years of post-secondary education and current annual income in dollars is -0.38. The researchers hypothesize a positive relationship between number of years of post-secondary education and annual income. What can the researchers conclude with α = 0.05? a) Obtain/compute the appropriate values to make a decision about H0. critical value= test statistic= b) effect size= C) 1)There is a significant positive relationship between years of post-secondary education and current annual income. 2)There is a significant negative relationship between years of post-secondary education and current annual income. 3) There is no significant relationship between years of post-secondary education and current annual income.A researcher conducted a Pearson's r test to examine the relationship between study hours and exam scores for a sample of 50 students. The resulting Pearson's r value was 0.6. Can the researcher conclude that there is a strong positive relationship between study hours and exam scores in the population?