Answer Happy

Many runners believe that listening to music while running enhances their performance. The authors of a paper wondered if this is true for experienced runners. They recorded time to exhaustion for 11 triathletes while running on a treadmill at a speed determined to be near their peak running velocity. The time to exhaustion was recorded for each participant on two different days. On one day, each participant ran while listening to music that the runner selected as motivational. On a different day, each participant ran with no music playing. For purposes of this exercise, assume that it is reasonable to regard these 11 triathletes as representative of the population of experienced triathletes. Only summary quantities were given in the paper, but the data in the table below are consistent with the means and standard deviations given in the paper. Runner Time to exhaustion (in seconds) ) Motivational music No music 1 535 468 2. 534 449 3 528 481 4 522 574 5 433 561 6 496 591 7 555 474 8 399 499 9 537 551 10 541 500 11 524 522 USE SALT Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music? Test the relevant hypotheses using a significance level of a = 0.05. (Use Ho - Wmusic - Ano music) State the appropriate null and alternative hypotheses. Оно: на о H:Hg0 O = Ho: Mg = 0 Hai Mp > 0 O Ho: Mo - 0 : Md = M: Mo0 Оно: на < 0 Hai Mp > 0 O Mg0 Hoi Hd > 0 H: Mo<0 > Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value Stato the troblootout
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 1 X-ray 5.00 Ultrasound 4.75 4.00 2 7.00 3 9.25 9.00 12.00 4 5 17.25 29.50 11.50 17.00 27.75 6.50 6 7 5.25 6.00 8 9 6.75 8.75 8.25 10 8.50 9.25 11 9.50 12 9.25 11.00 12.00 11.75 13 14 14.00 12.25 15.50 18.00 18.50 15 17.00 18.00 16 1 USE SALT Do these data provide convincing evidence that the mean body fat percentage measurement differs for the two methods? Test the appropriate hypotheses using a = 0.05. (Use #d = #x-ray - Multrasound) State the appropriate null and alternative hypotheses. O Ho: Mo<0 Hoi Hoo Ho: Mo #0 Ma: Mg = 0 = Ho: Ho = 0 > H₂i Hoo 0 Ho: a = 0 Hai a > 0 Ho: Mg = 0 Ho: Mo#0 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) P-value = Catathameion in the araberantau
In a study of memory recall, 8 students from a large psychology class were selected at random and given 10 minutes to memorize a list of 20 nonsensical words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The data are as shown in the accompanying table. Student 1 hour later 16 12 199 13 1017 17 24 hours later 11 البا 3 14710 6 12 13 USE SALT Use these data to estimate the difference in mean number of words remembered after 1 hour and after 24 hours. Use a 90% confidence interval. (Use ud = 41 hour later - #24 hours later. Use a table or SALT. Round your answers to two decimal places.) words