Asimple random sample of 10 pages from a dictionary is obtained. the numbers of words defined on those pages are found, with the results nequals10, x overbarequals56.9 words, sequals16.7 words. given that this dictionary has 1458 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.0 words. use a 0.10 significance level to test the claim that the mean number of words per page is greater than 48.0 words. what does the result suggest about the claim that there are more than 70,000 defined words? identify the null and alternative hypotheses, test statistic, p-value, and state the final conclusion that addresses the original claim. assume that the population is normally distributed. what are the null and alternative hypotheses? a. upper h 0: mugreater than48.0 words upper h 1: muless than48.0 words b. upper h 0: muequals48.0 words upper h 1: mugreater than48.0 words c. upper h 0: muequals48.0 words upper h 1: muless than48.0 words d. upper h 0: muequals48.0 words upper h 1: munot equals48.0 words

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.