The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. Onetype of empathy, called, Empathetic Concern, measures the tendency to feel sympathy and compassion forpeople who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). Thefollowing data, representing random samples of 16 males and 16 females, are consistent with resultsreported in psychological studies. Boxplots show that it is reasonable to assume that the populations areapproximately normal.138222020 1215 18Males16 13 26 21 2325 15 23 17 22Females20 26 25 28 2416 1923 21 23 15 26 19 25Can you conclude at the 0.05 significance level that there is a difference in mean empathy scores betweenmen and women?

Given information: Males Females 13 22 20 20 12 26 16 25 13 28 26 24 21 16 23 19…

Answered: The Interpersonal Reactivity Index is a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a study of the effect of mood on the evaluation of nutritious food, 208 subjects were randomly assigned to read either a happy story ( to induce positive mood) or a control (no story, neutral mood) group. Subjects were then asked to evaluate their attitude toward a certain indulgent food on a nine-point scale, with higher numbers indicating a more positive attitude toward the food. The following table summarizes the data: Group n x bar s Positive mood 104 4.25 2.15 Neutral mood 104 5.25 1.75 Test the hypotheses of no difference between two groups using a two-sample t-test. Calculate the degrees of freedom? Calculate test statistic?
Starship Media Entertainment's budget director, Ms. Janice Hammington, wanted to compare the daily travel expenses for the audit staff and the sales staff. For this reason, she gathered the following sample data. Audit ($) 130 102 129 143 149 120 139 Sales ($) 131 135 146 165 136 142 At the 0.10 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? (Assume that the variable is normally distributed.) Additionally, using the given information, conduct a test whether the variances of expenses for audit and sales staff are equal.
The Nielson Home Technology Report provided information about home technology and cell phone usage. The following data are the hours of daily cell phone usage for a random sample of college students. Hours of Relative Usage Frequency Frequency 0.0-> 2.9 5 3.0- 5.9 28 6.0- 8.9 8 9.0-> 11.9 6 12.0- 14.9 3 Find the relative frequency of college students who use their cell phone between 12.0 and 14.9 hours. a.0.30 b.0.12 Oc. 0.06 d.0.03
bli 3.4 The accompanying data on number of cell phone minutes used in one month are consistent with summary
A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls - Pboys.) Find the test statistic. (Round your answer to two decimal places.) Z = USE SALT Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We…
The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children. Group 1: Mother is a non smoker (NON): 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 Group 2: Mother is an ex-smoker (EX): 5.8, 7.3, 8.2, 7.1, 7.8 Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1) 5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2 Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1) 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level. What is the corresponding p-value? O 0.0284 0.0137 O 0.05 O 0.737
An online dating company wants to investigate perceptions of the services they offer. Two independent research companies collect data and ask several questions of a sample of individuals who identify as "single." Specifically, they want to determine at a 5% significance level if more than half of single people answer "yes" to the question, "Do you think that online dating is right for you?" The results for each researcher appear in the following table. Company A Company B P-value = 0.021 P-value = 0.063 "At the 5% significance level, the data provide convincing evidence that more than half of single people believe that online dating is right for them." "At the 5% significance level, the data do not provide convincing evidence that more than half of single people believe that online dating is right for them." Part A: Identify at least two reasons why the companies came up with different P-values. Part B: A researcher at Company B revisits the analysis and instead concludes the…
Seattle Grace Medical Center. As part of a long-term study of individuals 65 years of age or older, doctors at the Seattle Grace Medical Center in Washington state investigated the relationship between state of residence and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Texas, 20 were residents of Washington state, and 20 were residents of South Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression. These data are contained in the attached data file SeattleGrace1. A second part of the study considered the relationship between state of residence and depression for individuals 65 years of age or older who had a chronic health condition such as diabetes and/or high blood pressure. A sample of 60 individuals with such conditions was identified. Again, 20 were residents of Texas, 20 were residents…
In a study examining the effect of humor on interpersonal attractions, McGee and Shevlin (2009) found that a man's sense of humor had significant effect on how he was perceieved by woman. In the study, female college students were given brief descriptions of a po tential romantic partner and then rated the attractiveness of the male on a scale from 1 (low) to 7 (high). The fictitious male was described positively as being single , ambitious, and having good job prospects. In one dition, the description also said that he had a great sense of humor. The results showed that the description was rated significantly higher when "a sense of humor" was included. To further examine this effect, a researcher selected a sample of n = 16colle college males and asked them to read a brief description of a female and then rate the attractiveness of the woman in the description . The description had been used in previous research but was modified by adding a statement describing a good sense of humor…
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…
Computer-mediated communication (CMC) is a form of interaction that heavily involves technology (e.g., instant messaging, email). A study was conducted to compare relational intimacy in people interacting via CMC to people meeting face-to-face (FTF). Participants were 48 undergraduate students, of which half were randomly assigned to the CMC group and half assigned to the FTF group. The variable of interest, relational intimacy score, was measured (on a 7-point scale) for each participant after each of three different meeting sessions. Summary statistics for the first meeting session are given here. The researchers hypothesized that, after the first meeting, the mean relational intimacy score for participants in the CMC group would be lower than the mean relational intimacy score for participants in the FTF group. Test the researchers’ hypothesis using α = .10. CMC FTF Number…
A school psychologist is interested in whether or not teachers affect the anxiety scores among students taking the Statistics exam. The data below are the standardized anxiety test scores for students with the three different teachers. Teacher’s Name Ms. San Pedro Ms. San Juan Ms. San Jose 8 23 22 10 14 18 12 12 14 11 8 22 13 15 22 15 16 10 16 14 11 17 19 9 9 10 10 13 Perform an analysis of variance at the 0.05 level of significance.

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