PLEASE COMPLETE ALL PARTS AND SHOW WORK A local college reported that the average SAT score...
PLEASE COMPLETE ALL PARTS AND SHOW WORK
A local college reported that the average SAT score of its students is 1100 with a standard deviation of 45. Dr. Smith drew a random sample of 25 students from this college and found that her sample mean was 1082.
What is the z statistic for this sample? Show your work.
Is Dr. Smith’s sample representative of the students at this college? Explain your reasoning.
Homework Answers
Z stat = ( xbar - mu )/ [ sigma ÷ sqrt ( n ) ]
Z stat = ( 1082 - 1100 ) / [ 45 ÷ sqrt( 25 ) ] = -2
Ho : mu = 1100
Ha : mu not equal 1100
Z test = - 2 < 1.96 = level of significance
Ho is not rejected
Yes it is representative of the students at this college
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