A bank is studying the time that it takes 6 of its tellers to serve an average customer. Customers wait in line and then go to the next available teller. The boxplot for the last 140 customers and the times it took each teller is to the right. Complete parts a through c. Source DF Sum of Squares Mean Square F-ratio P-value Teller 5 7607.20 1521.439 3.460 0.0057 Error 134 58919.1 439.695 Total 139 66526.3 a) What are the null and alternative hypotheses? A. H0: ?1 = ?2 = ?3 = ?4 = ?5 = ?6 HA: ?1 < ?2 and ?2 > ?3 B. H0: ?1 = ?2 = ?3 = ?4 = ?5 = ?6 HA: not all means are equal C. H0: ?2 = ?3 HA: ?2 > ?3 D. H0: ?2 > ?3 HA: ?2 = ?3 E. H0: ?1 ? ?2 ? ?3 ? ?4 ? ?5 ? ?6 HA: ?1 = ?2 = ?3 = ?4 = ?5 = ?6 F. H0: ?1 < ?2 and ?2 > ?3 HA: ?1 = ?2 = ?3 = ?4 = ?5 = ?6
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There is one factor, which is the teller, and there are 6 levels (tellers). The response variable is the time it takes to serve a customer. a) The null and alternative hypotheses are: H0: All tellers have the same average time to serve a customer, i.e., μ1 = μ2 Show more…
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