Q10 [13 pts] Men of few words Researchers claim that American women speak significantly more words per day than American men. One estimate is that a woman uses about 20,000 words per day, while a man uses a bout?,000. To investigate such claims, one study used a special device to record the conversation of male and female university students over a four-day period. Here are 20 men's daily word counts: 234os,1oos4,15931,2lass,2??ss,1os7s,1zsso,110114779943132,8918,5495,s153,m15,4429,1oos4,3 998,12539,109?4,5255 {a} [2 pts] Produce a histogram, is it reasonable to use the onesample t procedures {Assuming that these men are an SR5 of all male students at the university}? Explain your answer. [b] [2 pts] What is the mean {f} and sample standard deviation {5] from this sample? Don't need to apply the formula, either use the numerical variable app or mean inference app to find them. [c] [2 pts] If we want to get the 95% CI for the unknown mean number of words per day of men, what is the Cl formula and find the critical value t\"? Show details how you find the t"'? [d] [3" pts] Carry out a test to find convincing evidence at (I = 5% that the mean number of words per day of men at this university is less than 20,000, the estimated number of Iwords per day ofwomen. Your solution should have four steps: a [2 pts[ What are the Ho and Ha? - [2 pts] What is the test statistics value? What is the null distribution? I [1 pt] What is the pvalue? - [2 pts] What do you conclude in the context for the testing