EDUCATION EXPERTS BELIEVE THAT SCORES FOR STAT 3360 EXAM FOLLOW (APPROZA LATELY)

Question

EDUCATION EXPERTS BELIEVE THAT SCORES FOR STAT 3360 EXAM FOLLOW (APPROZA LATELY) THE NORMAL DISTRIBUTION. A SAMPLE OF 16 STUDENTS WAS SELECTED FOR INFERENCES ABOUT THE POPULATION MEAN AND POPULATION VARIANCE. THE SAMPLE SUMMARIES WERE REPORTED AS FOLLOWS (SAMPLE MEAN) = 76.45 AND (SAMPLE STANDARD DEVIATION)-8. IN THREE QUESTIONS BELOW, PLEASE SPECIFY CRITICAL VALUES NEEDED FOR YOUR DECISION AND EVALUATE THE TEST STATISTIC A. AT THE 1 % SIGNIFICANCE LEVEL, DO YOU HAVE ENOUGH EVIDENCE THAT THE POPULATION MEAN IS ABOVE 70? CRITICA L VALUE = TEST STATISTIC = DECISION

Explanation / Answer

Ans:

n=16

df=16-1=15

critical t value(right tailed)=2.602

Test statistic:

t=(76.45-70)/(8/sqrt(16))

t=3.225

As,t>2.602,we reject the null hypothesis.There is sufficient evidence to conclude that population mean is above 70.

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