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2. Is there a significant difference between the typing speed of male (population 1) and female (pop- ulation 2) secretaries ? A recent test produced the following data :16 male secretaries average 70 words/min with standard deviation of 10 words/min, and 14 female secretaries average 78 words/min with a standard deviation of 10 words/min. (a) (2 points) State the null hypothesis and alternative hypothesis Ho : NI= Na Ha : Ni Na (b) (2 points) Is the test statistic you use a pooled t-test or split t-test? Justify your answer. (c) (2 points) Find the test statistic Maid Female 70 78 mean 10 10 sto. dev. 16 14 n Sto. dev. = 3.4596 DF : 27 += - 2.186016 (d) (2 points) If the type-I error a = 0.1, find the critical value(s) and shade the rejection region(s) (equaltor noticetor out abarde bris (eloulev isonho ord bad ,80.0 = 9 10 mo Loqu; sidi H (amtog S) ) (e) (2 points) Base on the type-I error a and rejection region(s), given above, what is your conclu sion (Do not use p-value to support your conclusion)?1. To evaluate the effectiveness of a new pain relief drug, an experiment was conducted in which 40 subjects received the new drug (population 1) and 50 subjects received the old one (population 2). Among the subjects receiving the new drug, the pain disappeared in 12.3 minutes on the average with a standard deviation of 13.2 min. Among the subject receiving the old one, the pain disappeared in 15.4 minutes on the average with a standard deviation of 12.4 min. Test that the new drug relief pain faster than the old one. (a) (2 points) State the null hypothesis and alternative hypothesis (b) (4 points) Find the test statistic 1 a 12.3 15.4 mon 3.a 12.4 Sto. deV. 50 n += - 1.137180 (c) (2 points) If the type-I error a = 0.05, find the critical value(s) and shade the rejection region(s) Stoleulonoo wor frogque of sulev-q sau york off ard's (d) (2 points) Base on the type-I error a and rejection region(s), given above, what is your conclu sion (Do not use p-value to support your conclusion)?3. A company wanted to know if attending a course on "how to be a successful salesperson" can In- crease the average sales of its employee. The company sent five of its salespersons to attend this course. The following table gives the one-week sales of these salespersons before and after they attended this course. Before | 12 16 20 13 17 After 16 20 23 11 19 (a) (2 points) State the null hypothesis and alternative hypothesisget me (error s) to (b) (4 points) Find the test statistic (c) (2 points) If the type-I error a = 0.05, find the critical value(s) and shade the rejection region(s) (d) (2 points) Base on the type-I error a and rejection region(s), given above, what is your conclu sion (Do not use p-value to support your conclusion)? colonop wor al isilw ovode novig delriolas noboojor bris o toris Hurt ands he soul (ainlog & ) Stroleubonao macy hoqqus at suler q say don o() now
