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1. What is the t-statistic? 2. What is the p -value? 3. What is the conclusion T

ID: 3352511 • Letter: 1

Question

1. What is the t-statistic?

2. What is the p -value?

3. What is the conclusion

To test the belief that sons are taller than their fathers, a student randomly selects 6 fathers who have adult male children. She records the height of both the father and son in inches and obtains the accompanying data. Are sons a er han her a hers? Use he 0.1 eve of sign cance Note at a normal probab ry plo a plot o he data indicate at he differences are approximate norma di buted it no outliers. Click the icon to view the height data.

Explanation / Answer

Ho: mu1 = mu2

Ha: mu1< mu2

1. What is the t-statistic?

=-0.4074713

2. What is the p -value?

=0.346123

3. What is the conclusion

since p-value > 0.1

we cannot reject Ho

Evidence is not found, so H1 is incorrect

Please rate

t-Test: Two-Sample Assuming Equal Variances father son Mean 69.48333333 70.18333333 Variance 5.573666667 12.13366667 Observations 6 6 Pooled Variance 8.853666667 Hypothesized Mean Difference 0 df 10 t Stat -0.407471355 P(T<=t) one-tail 0.346123911 t Critical one-tail 1.812461123 P(T<=t) two-tail 0.692247822 t Critical two-tail 2.228138852