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2. A new reading program was being evaluated in the fourth grade at an elementary school. A random sample of 35 students was

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a)

sample size,n=35

df=35-1=34

critical t value=tinv(0.05,34)=2.032

95% confidence interval for mean

=9.5+/-2.032*(2.5/sqrt(35))

=9.5+/-0.86

=(8.64, 10.36)

b)If sample size increases,standard error of mean decreases,so the margin of error decreases,hence width of the confidence interval decreases.

c)We are 95% confident that true mean reading time will lies between 8.64 and 10.36 minutes

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