1. Laboratory Exercise 5 Hypothesis Testing for Two Population means Directions: In a clean bond paper, write your name, course, year and section. Also, put your signature. Copy the questions and put your answer below it. After answering, take a plctu re of it, copy in Microsoft Word, then save as a pdf file. Make sure that only 1 pdf file is attached and turned in. Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated a month later, with the times {In seconds} listed in the accompanying table [based on data from \"Tower Building", by Johnson and Courtney, Child Development, Vol.3}. The previous experiment shows that the times are normally distributed. Use a 0.01 level of significance to test the claim that there is no difference between the two times. FirstTrfal 30 19 19 23 29 1?3 42 20 Second Trial 30 5 14 3 14 52 14 22 1? 3 11 3D 14 17 15 Solve first for the mean and standard deviation first. Use the standard deviation formula with n-1 as the denominator. a. Claim (in symbolic form}: Ho: Ha: b. level of significance: teststatistic: tail of distribution: c. Decision Rule: Reject Ho if d.Computation e. Decision {Reject Ho or Failed to reject Ho) f. Conclusion 2. A researcher wants to know if there is a difference in how busy someone is based on whether that person identifies as an early bird or a night owl. The researcher gathers data from randomly selected people in each group the higher scores represent higher levels of being busy. Test for a difference between the two at the 10% level of significance. Scores are normally distributed and population variances are assumed to be not equal. Early Bird 23 28 27 29 26 30 22 25 27 33 Night Owl 26 11 20 19 26 18 13 25 22 Solve first for the mean and standard deviation first. Use the standard deviation formula with n-1 as the denominator. a. Claim (in symbolic form): Ho: Ha: b. level of significance: test-statistic: tail of distribution: c. Decision Rule: Reject Ho if d.Computation e. Decision (Reject Ho or Failed to reject Ho) f. Conclusion3. Does stress affect the recall ability of police witnesses? This issue was studied in an experiment that tested eyewitness memory a week after a nonstressful interrogation of a cooperative suspect and a stressful interrogation [the way of questioning] of an uncooperative suspect. The numbers of details recalled a week after the incident are summarized in the margin (based on data from "Eyewitness Memory of Police Trainees for Realistic Role Plays," by Yuille et al., Journal of Applied Psychology, Vol. 79, No. 6). Use 0.01 level of significance to test the claim in the article that stress decreased the amount recalled. Assume equal population variances. Nonstress Stress n1 = 40 n2 = 40 x = 53.3 *2 = 45.3 $1 = 11.6 $2 = 13.2 a. Claim (in symbolic form): Ho: Ha: b. level of significance: test-statistic: tail of distribution: c. Decision Rule: Reject Ho if d. Computation e. Decision (Reject Ho or Failed to reject Ho) f. Conclusion