5. [12 points] 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. a research article reports that, for a sample of 73 horses to which ketamine was administered under certain conditions, the sample average lying-down time was 18.9 minutes. does this data suggest that the true mean lying-down time is less than 20 minutes? assume that lying-down time varies according to a normal distribution with population standard deviation 8.6 minutes. test using the level of significance α = 0.10.

there is no evidence for the data to suggest that the true mean lying-down time is less than 20 minutes

Step-by-step explanation:

Given that for a sample of 73 horses to which ketamine was administered under certain conditions, the sample average lying-down time was 18.9 minutes.

So create hypotheses as

(left tailed test at 5% significance level)

Since population std deviation is given and sample size >30 we can useZ test

Std error =

Z statistic = mean diff/std error

=

p value one tailed = 0.138

Since p >0.05 we accept H0

i.e. there is no evidence for the data to suggest that the true mean lying-down time is less than 20 minutes

hi! i think the answer is 1/2 : )

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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