When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, S(t
), can be measured by the following piecewise defined function: S of t is equal to the piecewise function of 140 minus 5 times t if 0 is less than or equal to t is less than or equal to 5 and 115 if 5 is less than t is less than 8 and 43 plus 9 times t if 8 is less than or equal to t is less than or equal to 12 where t is the time, in hours, since taking the medication. Based on the graph of the piecewise function, if the patient takes the blood pressure medication at 9 a.m., in which interval will their systolic pressure be lowest?
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1 answer:
Based on the above, the interval will their systolic pressure be lowest is 4pm to 5pm.
<h3>What is the interval about?</h3>From the function given above, the lowest systolic pression can be seen from 5 and 8 hours after taken the medication.
Therefore, this will fall into or between the interval of 2pm to 5pm.
And as such, looking at the question, the option that best fit into this time range is 4pm to 5pm.
Therefore, Based on the above, the interval will their systolic pressure be lowest is 4pm to 5pm.
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This question is incomplete, the complete question;
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
The 95% Confidence Interval is ($, $ )
Answer:
at 95%, confidence interval is ( $43312, $54288 )
Step-by-step explanation:
Given the data in the question;
sample size n = 36
mean x' = 48,800
standard deviation σ = 16,800
at 95% confidence level;
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
z critical value, = 1.96
now, confidence interval for population mean is given by the formula
x' ± ( σ/√n )
so we substitute
⇒ 48800 ± 1.96( 16800/√36 )
⇒ 48800 ± 1.96( 2800 )
⇒ 48800 ± 5488
⇒ 48800 - 5488, 48800 + 5488
⇒ ( 43312, 54288 )
Therefore, at 95%, confidence interval is ( $43312, $54288 )