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State whether the following statements are true or false and reason for support it
(1) If the level of significance is the same, the area of the rejection region in a two tailed test is less than that in a one tailed test.
(2)Non parametric tests are more powerful than the parametric tests
(3)If T1 and T2 are two estimators of the parameter theta such that varience of T2 =1/n and varience of T2=n then T1 is more efficient than T2
A 95% confidence interval is smaller than 99% confidence interval. State whether the given statement is true or false give reason in support of answer
Prove or disprove that the two propositions in each pair are equivalent.
((p "\\leftrightarrow" q) "\\leftrightarrow" r), (p "\\leftrightarrow" (q "\\leftrightarrow" r))
How is short run defined in production theory and does it differ from the long run?.
Prove or disprove that the two propositions in each pair are equivalent.
(p "\\bigoplus" (q "\\to" r)), ((p "\\bigoplus" q) "\\to" (p "\\bigoplus" r))
“Network topology can simply be defined as the arrangement of the elements (links, nodes, etc.) of a communication network”. With reference to the foregoing statement, use a well labelled diagram, describing any three types of Network topologies and highlighting their advantages and disadvantage
1. Prove or disprove that the two propositions in each pair are equivalent.
a) (p "\\to" (q "\\to" r)) , ((p "\\to" q ) "\\to" ( p "\\to" r ))
recommend three web 3.0 technologies tools that can be used in a cleaning service business to keep track of orders and for constant communication with customers
A petrol station has two pumps. The service time follows the exponential distribution with mean 4 minutes and cars arrive for service in a Poisson process at the rate of 10 cars per hour. Find the probability that a customer has to wait for service. What proportion of time the pump remains idle?
a) A supermarket has two girls ringing up sales at the counters. If the service time for each customer is exponential with mean 4 minutes and if the people arrive in Poisson fashion at the rate of 10 per hour
a) What is the probability of having to wait for service?
b) What is the expected percentage of idle time for each girl?
c) If a customer has to wait, what is the expected length of his waiting time?
