A group of adolescents all from families that have college-educated parents are tested to determine if the IQ scores are indeed statistically higher than the population mean of 100. What can be determined from the statistical output below at the ? (Assume IQ scores are normally distributed)
One-Sample Z: IQ
Test of mu = 100 vs > 100
The assumed standard deviation = 15
Variable N Mean StDev SE Mean Z P
IQ 14 105.643 10.352 4.009 1.41 0.080
1.Fail to reject the null hypothesis, because the critical value is 1.96
2.Fail to reject the null hypothesis, because the critical value is 1.65
3.Reject the null hypothesis, because the critical value is 1.28
4.Reject the null hypothesis, because the critical value is 1.65
Question 2
A two-tailed hypothesis test is performed at the = 0.05 level. A critical value of z(0.025) = 1.96 is used to assess the significance of a test statistic, z = -1.81. Which is the correct inference?
1.Fail to reject the null hypothesis
2.Reject the null hypothesis
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