Does delaying oral practice hinder learning a foreign language? Researchers randomly assigned22beginning students of Russian to begin speaking practice immediately and another22to delay speaking for 4 weeks. At the end of the semester both groups took a standard test of comprehension of spoken Russian. Suppose that in the population of all beginning students, the test scores for early speaking vary according to theN(35,6) distribution and scores for delayed speaking have theN(34,6) distribution.

(a) What is the sampling distribution of the mean scorexin the early speaking group in many repetitions of the experiment? (Round your answers forsto two decimal places.)Mean=s=

What is the sampling distribution of the mean scoreyin the delayed speaking group?Mean=s=

(b) If the experiment were repeated many times, what would be the sampling distribution of the differencey-xbetween the mean scores in the two groups? (Round your answer forsto two decimal places.)Mean=s=

(c) What is the probability that the experiment will find (misleadingly) that the mean score for delayed speaking is at least as large as that for early speaking? (Round your answer to four decimal places.)