Researchers studying pleasant touch sensations measured the firing frequency (impulses per second) of nerves that were stimulated by a light. brushing stroke on the forearm and also recorded the subject's numerical rating of how pleasant the sensation was. The accompanying data was read from a graph in a paper. Firing Frequency 23 24 22 25 28 P-value= 27 34 32 35 34 Pleasantness Rating 0.1 1.0 1.2 1.2 1.0 2.0 2.3 2.2 2.3 2.7 (a) Estimate the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency using a 95% confidence interval. (Use technology or the Distribution Calculators page in SALT to find the critical value. Round your answers to three decimal places.) Interpret the resulting interval. O We are 95% confident that the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency is in this interval. O We are 95% confident that the mean change in pleasantness rating associated with an increase of 1 impulse per second in firing frequency is outside this interval. We are 95% confident that the mean change in firing frequency associated with an increase of 1 in pleasantness rating is in this interval O We are 95% confident that the mean change in firing frequency associated with an increase of 1 in pleasantness rating is outside this interval. (b) Carry out a hypothesis test using a = 0.05 to decide if there is convincing evidence of a useful linear relationship between firing frequency an pleasantness rating. Calculate the test statistic. (Round your answer to two decimal places.) t = Use technology to find the P-value for this test. (Round your answer to four decimal places.) What can you conclude? O Reject Ho. We do not have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. O Reject Ho. We have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating. O Fail to reject Ho. We have convincing evidence of a useful linear relationship between firing frequency and pleasantness rating.