Question

A journal published an article on vocalized laughter among deaf users of American Sign Language​ (ASL). In videotaped ASL conversations among deaf​ participants, 26 laughed at least once. The researchers wanted to know if they laughed more as speakers​ (while signing) or as audience members​ (while listening). For each of the 26 deaf​ participants, the number of laugh episodes as a speaker and the number of laugh episodes as an audience member were determined. One goal of the research was to compare the mean numbers of laugh episodes of speakers and audience members. Complete parts a through d below.

a. Explain why the data should be analyzed as a paired difference experiment.

Choose the correct answer below.

A. Since the samples are​ large, the central limit theorem guarantees a normal distribution.

B. A paired difference experiment is easier to conduct.

C. Since the samples are​ paired, they are not independent.

D.Comparing paired differences is better than comparing the population means.

b. Identify the​ study's target parameter.

Choose the correct answer below.

A. mu Subscript dμd

B. left parenthesis x overbar 1 minus x overbar 2 right parenthesisx1−x2

C. x overbar Subscript dxd

D. σx1−x2

c. The study yielded a sample mean of 3.5 laughter episodes for speakers and a sample mean of 1.4 laughter episodes for audience members. Is this sufficient evidence to conclude that the population means are​ different? Explain.

Answer 1

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