Question

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minimal cardiovascular and respiratory changes, and a quick, smooth recovery with minimal aftereffects so that horses can be left unattended. An article reports that for a sample of n = 70 horses to which ketamine was administered under certain conditions, the sample average lateral recumbency (lying-down) time was 18.77 min and the standard deviation was 8.5 min. Does this data suggest that true average lateral recumbency time under these conditions is less than 20 min? Test the appropriate hypotheses at level of significance 0.10. State the appropriate null and alternative hypotheses. Ho: Hg: u = 20 * 20 оно: и # | IV Ha: u < 20 Ho: u = 20 Hai J + 20 Ho: u = 20 Hai u > 20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value =

Answer 1

The statistic software output for this problem is:

One sample Z summary hypothesis test: : Mean of population Ho u20 HA 20 Standard deviation = 8.5 Hypothesis test results: Mean n Sample Mean Std. Err. P-value Z-Stat 70 18.77 1.0159443 -1.2106963 0.113

z = -1.21

P-value = 0.1130