PROBLEMS: (Show 5 step process) 1. Independent random samples taken on two university campuses revealed the following information concerning the avera

Isa Trevino

Isa Trevino

Answered question

2021-02-25

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.

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-02-26Added 109 answers

This problem is based on
t- test for difference of means. Null hypothesis
μA=μb
Alternative hypothesis:
μA>μB
Test statistic is given by
Z=xAyBvA2nA+vB2nB
nA=50, nB=40,xA=260,yB=150
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
Here Z cal .value is greater than the Z tab. value .Hence we reject null hypothesis. Hence, on the average, studentsat University A spend more on textbooks then the students at University B.

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