PROBLEMS: (Show 5 step process) 1. Indepe...

 PROBLEMS: (Show 5 step process) 1. Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester. University A University B Sample Size 50 40 Average Purchase $280 $250 Standard Deviation $20 $23 At = .05, test to determine if, on the average, students at University A spend more on textbooks then the students at University B.
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    1. lola duval
      lola duval
      This problem is based on t- test for difference ofmeans
      Step:1.
           Null hypothesis(Ho ) : (i.e.,the average amount of money spent ontextbooks during the fall semester is same.)
      Step:2.
          Alternative hypothesis(H1) :
      Step;3. Test statistic is given by

                       
            
      Therefore,   Z cal .value=30.3821

      Step:4 For a one tailed test ,the critical valueof Z at 5%l.o.s. is 1.645   .The criticalregion for left-tailed test thus consists of all values of Z islessthan or equal to
      1. 645   
      Step:5.
      Here Z cal .value is greater than the Z tab. value .Hencewe reject null hypothesis.Hence, on the average, studentsat University A spend more on textbooks then the students atUniversityB.         

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