If the absenteeism rates for a school district rise above 10%, the state reduces its aid...

If the absenteeism rates for a school district rise above 10%, the state reduces its aid to the school district. Stermerville independent school district takes a sample of five schools within the district and finds the following absenteeism rates:5.4%,8.6%,4.1%,8.9%, and 7.8%. What is your best estimate of the absenteeism rate in Stermerville? Is it likely that the absenteeism rate is greater than 10%?

Solutions

Expert Solution

Ho :   µ =   10
Ha :   µ >   10

Level of Significance ,    α =    0.05
sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   2.1078
Sample Size ,   n =    5
Sample Mean,    x̅ = ΣX/n =    6.96

so,   best estimate of the absenteeism rate in Stermerville = 6.96%

degree of freedom=   DF=n-1=   4

Standard Error , SE =   s/√n =   0.9427

t-test statistic=   (x̅ - µ )/SE =    -3.22


p-Value   =   0.9839   [Excel function =NORMSDIST(-z)
Conclusion:     p-value>α, Do not reject null hypothesis

so, yes, it is likely that the absenteeism rate is greater than 10%?

orchestra answered 1 year ago

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