# &nbsp;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.

1. 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.