Question
In: Statistics and Probability
The systolic blood pressure of 16 students was measured before a test. The blood pressure from...
The systolic blood pressure of 16 students was measured before a test. The blood pressure from this sample averaged 165, with a standard deviation of 40.
a) Compute the approximate 95% confidence interval for mean systolic blood pressure, and make a sketch illustrating these confidence intervals
b) If a mean blood pressure above 130 is considered “stressed”, what do your calculations show regarding the probability that the observed mean is above the “stressed” level.
Solutions
Expert Solution
Level of Significance , α = 0.05
sample std dev , s = 40
Sample Size , n = 16
Sample Mean, x̅ = 165
a) degree of freedom= DF=n-1=
15
't value=' tα/2= 2.1314 [Excel
formula =t.inv(α/2,df) ]
Standard Error , SE = s/√n =
10.0000
margin of error , E=t*SE =
21.3145
95% confidence interval is
Interval Lower Limit= x̅ - E =
143.6855
Interval Upper Limit= x̅ + E =
186.3145
we are 95% confident that true mean systolic blood pressure lies within confidence interval.
b)
confidence interval is above 130,so, observed mean is above stressed level
orchestra answered 2 years agoRelated Solutions
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1
2
3
4
5
6
7
8
9
10
Blood pressure, mmHg
155
138
126
152
164
142
128
132
170
145
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14
15
16
17
18
19
20
Blood pressure, mmHg
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128
127
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22
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