If an analysis of variance produces SSbetween treatments = 30 and MSbetween treatments = 10, then the ANOVA is comparing four treatment conditions. Question 24 options: True False
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Q: Two surfers and statistics students collected data on the number of days on which surfers surfed in…
A: Given: For Longboard n1=30, X¯1=12.40 S1=5.4431 For Shortboard n2=30, X¯2=10.03 S2=4.9514
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- Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,9,8,4,9,8,8,6,7,9,11,11,11,13,12,16,14,9,11,18,20,15,10,16,20,20,8,20,21,23 O Shortboard: 6,4,4,6,8,8,6,9,4,6,7,5,9,7,4,16,13,11,13,13,11,15,10,10,13,14,11,21,21,12 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: HL = Hs O B. Ho: HL = Hs OC. Ho: HL # Hs Ha: HL Hs O F. Ho: HL = Ps Ha: HL = Ps Ha: HL = Hs Ha: HL > Hs Find the test statistic for this test. t = (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places…Does more education lower a person’s level of prejudice? The number of years of education and the score on a prejudice test for ten people is given in the following table. Higher scores on the test indicate more prejudice. Years of Education 12 15 14 13 18 10 16 12 10 4 Score on Prejudice Test 1 6 2 3 2 4 1 5 5 10 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the decision for this hypothesis test? Reject the null because the absolute value of the test statistic is greater than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is less than the critical value and the p-value is greater than alpha. Reject the null because the absolute value of the test statistic is less than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is greater than the…When three groups were compared using the one-way Analysis of Variance (ANOVA), the result turned out to be significant, that is, the null hypothesis was rejected. What will be the appropriate interpretation of this result?A. All three groups significantly differ in means.B. Exactly two of the three groups significantly differ.C. At least two of the three groups significantly differ in means.D. All three groups have the same effect on the dependent variable.
- Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using ? = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage? Female Male Rarely or never use seat belt 206 323 Uses seat belt 1220 1157 (a) Find the test statistic. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer bounds exactly.) ______< p < ________Use the following information to answer the question. A researcher wants to study different messaging platforms by collecting data on 40 individuals. Half of the individuals only use iMessage while the other half only use What's App. For the individuals who only used iMessage, they sent an average of 280 messages with a sample variance of 170 in the past week. For the individuals who only used What's App, they sent an average of 295 messages with a sample variance of 182 in the past week. Determine if there is a significant difference between the average messages sent between the two groups of individuals. Use a significance level of 1%. What is the null hypothesis? Group of answer choices A. The iMessage group on average sent more messages than the What's App group. B. The iMessage group on average sent less messages than the What's App group. C. There is no difference in the average number of messages sent between the two groups. D. There is a difference in the average…
- A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 307 173 27 Female 326 148 29 Identify the null and alternative hypotheses. Ho: (1)__________and (2)___________are (3)_____________…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.State the hypotheses for each of the three separate tests included in the two-factor ANOVA.
- Which of the following is NOT a threat to the internal validity of an experiment? Experimenter effects. Confounding variables Demand characteristics. Within-groups design.Mood variation is related to photoperiod in some people, and the likelihood of depression increases in the winter months. As a result, people often assume that suicide rates increase in winter. A study in Finland (Valtonen et al. 2006) divided the year 1997 into equal halves and compared the number of suicides in “winter” (24 September to 19 March) and “summer” (remainder of year). Out of a total of 1636 suicides, 766 were in winter and 870 were in the summer. Based on these data, estimate the proportion of suicides that occurred in winter, assuming that the suicides were independent. Are the data compatible with a greater suicide rate in winter than summer, based on a 95% confidence interval?A researcher selected an all-girls high school to study math achievement by comparing text lessons vs. visual lessons (the independent variable) and used final exam scores as the dependent variable. He arranged for text lessons in the Fall and visual lessons in the Spring. What is confounded with what? a. type of lesson with season of year b. Girls with exam scores and season of year c. type of lesson with exam scores d. season of year with exam scores