H524e-PS4-Solutions - H 524 Problem Set 4 Solutions Chapter...

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H 524: Problem Set 4 Solutions Chapter 10 10a . H 0 = mean WBC count among persons infected with E. canis is ≥7250/mm 3 H a = mean WBC count among persons infected with E. canis is < 7250/mm 3 Note: it’s fine if you wrote Ho: mean WBC count among persons infected with E. canis is =7250/mm 3 10b. Stata command: ttesti 15 4767 3204 7250 One-sample t test ------------------------------------------------------------------------------ | Obs Mean Std. Err. Std. Dev. [95% Conf. Interval] ---------+-------------------------------------------------------------------- x | 15 4767 827.2692 3204 2992.684 6541.316 ------------------------------------------------------------------------------ mean = mean(x) t = -3.0014 Ho: mean = 7250 degrees of freedom = 14 Ha: mean < 7250 Ha: mean != 7250 Ha: mean > 7250 Pr(T < t) = 0.0048 Pr(|T| > |t|) = 0.0095 Pr(T > t) = 0.9952 We accept Ha, because 0.0048 is less than 0.05. 10c . We conclude that mean WBC among those infected with E. Canis is less than 7250/ mm 3 , the mean of the general population. 11. Stata command: ttesti 58 25 2.7 24 11a and 11b . The 95% CI for µ and the t statistics and p-value are highlighted in yellow below. One-sample t test ------------------------------------------------------------------------------ | Obs Mean Std. Err. Std. Dev. [95% Conf. Interval] ---------+-------------------------------------------------------------------- x | 58 25 .3545274 2.7 24.29007 25.70993 ------------------------------------------------------------------------------ mean = mean(x) t = 2.8207 Ho: mean = 24 degrees of freedom = 57 Ha: mean < 24 Ha: mean != 24 Ha: mean > 24 Pr(T < t) = 0.9967 Pr(|T| > |t|) = 0.0066 Pr(T > t) = 0.0033 11c.
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