# One of the measures of the effectiveness of a stimulus is how much the viewer’s pulse rate increases on exposure to it. In testing a lively new music theme for its television commercials, an advertising agency shows ads with the new music to a sample of 31 viewers. Their mean pulse rate increase is 20.5 beats per minute, with a standard deviation of 7.4. For another sample of 35 viewers seeing the same ads with the previous music theme, the mean pulse rate increase is 16.4 beats per minute, with a standard deviation of 4.9. Assuming normal populations, can we conclude that the new music theme is better than the old in terms of its effectiveness as a stimulus? Using the 0.01 level of significance, obtain a test statistic and critical value(s) to determine whether the null hypothesis is rejected.

Question

One of the measures of the effectiveness of a stimulus is how much the viewer’s pulse rate increases on exposure to it. In testing a lively new music theme for its television commercials, an advertising agency shows ads with the new music to a sample of 31 viewers. Their mean pulse rate increase is 20.5 beats per minute, with a standard deviation of 7.4. For another sample of 35 viewers seeing the same ads with the previous music theme, the mean pulse rate increase is 16.4 beats per minute, with a standard deviation of 4.9. Assuming normal populations, can we conclude that the new music theme is better than the old in terms of its effectiveness as a stimulus? Using the 0.01 level of significance, obtain a test statistic and critical value(s) to determine whether the null hypothesis is rejected.