HomeworkT: Problem 15 (2 points) The foiiowing Exercise is based on summary statistics rather than raw data This information is typicaiiy aii that is...

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HomeworkT: Problem 15 (2 points) The foiiowing Exercise is based on summary statistics rather than raw data This information is typicaiiy aii that is presented in pubiished reports. You can caicuiate inference procedures byhand from the summaries Use the conservative Option 2 {degrees or freedom the smaiier of H1 — 1 and r12 — 1 for twoesampie tcohfldence intervais and Prvaiues You must trust that the authorsunderstood the conditions for inference and veritied that they appiy. This isn’t aiways true.) Equip male and female students with a small device that secretty records sound for a random so seconds during each 12.57minute period overtwo days. Count the words each subject speaks duringeach recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies. Here are two of the six: Sample Size Estimated Average Number(SD) otWords Spoken per DayStudy Women Men Women Men1 61 61 15793(7743}16426(9334)2 29 24 1675B(7855}12188(8180) Readers are expected to understand this to mean, for example, the 61 women in the first study had E: 15793 and s = 7743.It is commonly thought that women talk more than men. Does either of the two samples support this idea? For each study: (a) State the alternative hypothesis in terms otthe population mean number ofwords spoken per day tor men (pH) and for women (pp). If necessary, use !:to represent 72.Study 1: HM #F Study 2: nu up to) Find the two—sample tstatistic to test pp 7 ,uM. Study 1: Study 2: (C) What degrees Of freedom does Option 2 use 10 get a conservative P—value? Study 1:Study 2: