stats -ghw6 - Maura Woods Stats Homework #6 April 20, 2008...

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Stats Homework #6 April 20, 2008 7.20 a. What are the degrees of freedom? n-1=15-1=14 Degrees of freedom = 14 b. Give two critical values t* from Table D that bracket t. t is between t*=2.145 (p= .025) and t*=2.264 (p=.02) c. What arte the right tailed probabilities p for these two entries? t is between t*=2.145 (p= .025) and t*=2.264 (p=.02) d. Between what two values does the P-value of the test fall? .025 < P < .02 e. Sketch distribution for this exercise. Illustrate answers to part c and d. f. Is the value of t = 2.15 significant at the 5% level? Is it significant at the 1% level? 7.34 EXAMPLE ON PAGE 453 a. Calculate the same mean x and its standard error. Sample Mean x 5.6+5.1+4.6+4.8+5.7+6.4=32.2 32.2 / 6 = 5.367 Standard Error 5.6-5.4= .2 =. 04 5.1-5.4= -.3 = .09 4.6-5.4= -.8 = .64 4.8-5.4= -.6 = .36 5.7-5.4= .3 = .09 6.4-5.4= 1 = 1 .66 / 2.44 = .269 b. Use the t procedures to give a 90% confidence interval for this patient’s means phosphate level. From Table D we find that t* = 2.015. The 90% confidence interval is
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stats -ghw6 - Maura Woods Stats Homework #6 April 20, 2008...

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