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Does exposure to classical music (through instrument lessons or concert attendance) improve a child's scholastic performance? In a study, researchers measured the amount of exposure to classical music for a group of children, along with their scores on the state’s academic proficiency exam. The explanatory variable in this study is:
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- In this same passage, is it explanatory variable or response variable?a) A public health researcher is interested in some factors that influence heart disease. In a survey of 68 randomly selected localities, he gathered data on the percentage of people in each locality who bike to work “Biking”, the percentage of people in each locality who smoke “Smoking”, and the percentage of people in each locality who have heart disease “Heart.Disease”. The researcher wants to find which explanatory variable will be a better predictor of the response variable, “Heart.Disease”. Investigate the relationship between the explanatory variables and response variable to help the researcher find the better predictor. The dataset is called “Heart Disease.” b) The regression equation for “Biking” and “Heart. Disease is= 18.115809 - 0.20845321 Biking. Q1) In one randomly selected location, the researcher found the biking rate was 70%. Use this information to predict the corresponding rate of heart disease in that location. Use the regression equation in part (h) to predict the…In a study of the effects of mood on evaluation of nutritious food, 208 subjects were randomly assigned to read either a happy story (to induce a positive mood) or a control (no story, neutral mood) group. Subjects were then asked to evaluate their attitude toward a certain food on a nine-point scale, with higher numbers indicating a more positive attitude toward the food. The following table summarizes data on the attitude rating: Group n S Positive mood 104 4.25 2.05 Neutral mood 104 5.65 1.75 Based on the evidence could we conclude that mood changes attitudes towards food? (test hypotheses at level alpha =0.05).
- A survey was conducted among the engineering students in a university. The survey is conducted to find the relationship between the test preparation time and their test achievement. The 50 respondents were asked 2 questions: a) How much time did you spend to prepare for the exam? and b) What is your test achievement? Based on the above statement, determine the type of statistics that is suitable for the study and briefly explain your answer.A group of boys believe that there is a relationship between the act of sending flowers to a girl and texts received as a result. A study was carried out in which a sample of girls were asked whether they received any flowers and how many texts they sent in response. a)What type of variable is the explanatory variable? Quantitative Categorical b) What type of variable is “number of texts sent in response?” Categorical Quantitative c)What type of visual display should be used to summarize this data? Bar chart Side-by-side boxplots Histogram Dot plotA survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 38 36 6 to 6.9 60 57 7 to 7.9 76 74 8 or more 66 93 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. (b) What is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night?
- The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the SAT follow. Two samples are dependent with matched data. Student Math Writing Student Math Writing 540 474 480 430 432 380 499 459 528 463 615 541 610 574 612 10 572 390 593 448 420 11 335 502 526 12 613 Use a 0.05 level of significance and test for a difference between the population mean for the math a. scores and the population mean for the writing scores. What is the p-value and what is your conclusion? b. What are the estimates of the population mean scores for the two tests? Which test reports the higher mean score? 1234 n6A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Fewer than 6 6 to 6.9 7 to 7.9 8 or more Age Group 39 or younger 40 or older Need Help? 38 62 Read It 77 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: Hours of sleep per night is not independent of age. H₂: Hours of sleep per night is independent of age. a 63 OHO: Hours of sleep per night is mutually exclusive from age. H₂: Hours of sleep per night is not mutually exclusive from age. % O Ho: Hours of sleep per night is independent of age. H₂: Hours of…A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
- A food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here. Dietary Cholesterol Blood Pressure Total High Low High 159 91 250 Low 78 172 250 Total 237 263 500 Test 2: two-tailed test for comparing two independent proportions Clearly state…In a study to determine the effect of early child care on infant-mother attachment patterns, 92 infants were classified as either "secure" or "anxious" using an appropriate measurement scale. In addition, the infants were classified according to the average number of hours per week that they spent in child care. The data are presented in the table. High (20-54 hours) Low Moderate (0-3 hours) (4-19 hours) Secure 22 33 Anxious 12 9. 9. (a) Do the data provide sufficient evidence to indicate that there is a difference in attachment pattern for the infants depending on the amount of time spent in child care? Test using a = 0.05. State the null and alternative hypotheses. Ho: Attachment pattern and amount of time spent in child care are dependent. H: Attachment pattern and amount of time spent in child care are independent. Ho: : The number of secure and anxious children are equal. : The number of secure and anxious children are not equal. Ha : Attachment pattern and amount of time spent in…A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. H0: Hours of sleep per night is not independent of age.Ha: Hours of sleep per night is independent of age. H0: Hours of sleep per night is independent of age.Ha: Hours of sleep per night is not independent of age. H0: The proportion of people who get 8 or more hours of sleep per…
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