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Statistics
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Betty, an employee of Shining Sun Daycare Center, read an article in Healthy Child magazine that said the average 3yr old child is 37in tall.  Betty works with 3yr olds at Shining Sun, so later that week, she measured the height of each child who had just turned or was about to turn 3 years old. Here are their heights in inches: 41, 40, 36, 42, 39, 38, 33, 44, 39, 41.  Calculate t show your calculations.

May 25th, 2015

the average of the heights are 39.3

the test hypothesisi is H1=Uo;37 and H2=Ui;39.3

for H2>H1 then we use the type one error.

p[U>k/H1=H2]=0.05

for Z-test Z(1-0.05)=Z(0.95)=1.645

the critical t :

[(k-Uo)/sqrt(n)]=1.645

[(k-37)/sqrt(10)]=1.645

k-37=1.645*sqrt(10)

k-37=5.2019

k=37+5.2019

k= 42.2 is the critical t

May 25th, 2015

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May 25th, 2015
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May 25th, 2015
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