The manager at the Hillsberg Savings and Loan is interested in determining wheth
ID: 3132274 • Letter: T
Question
The manager at the Hillsberg Savings and Loan is interested in determining whether there is a difference in the mean time that customers spend completing their transactions depending on which of four tellers they use. To conduct the test, the manager has selected simple random samples of 15 customers for each of the tellers and has timed them (in seconds) from the moment they start their transaction to the time the transaction is completed and they leave the teller station. The manager then asked one of her assistants t perform the appropriate statistical test. The assistantExplanation / Answer
answer of part a)
Ho: all the four teller took same time
H1: at least two among four took different time
answer of part b)
here p-value is less than 0.01 so we reject null hypothesis that population variances are not equal.
answer of part c)
answer of part d)
q-table value(.05,4,59)=3.73
critical difference= q-value*sqrt(MSW/2(1/n1 + 1/n2))=3.73*6.27=23.41
tellere 4 require most time
SV SS DF MS F-RATIO P-VALUE F-CRITICAL BETWEEN GROUPS 36530.6 3 12176.87 20.59942 4.0338E-09 2.7694 WITHIN GROUPS 33103.1 56 591.1268 TOTAL 69633.7 59Related Questions
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