A sample of 14 joint specimens of a particular type gave a sample mean proportional limit stress of 8.48 MPa and a sample standa
1 answer:
Answer:lower limit -8.106
8.02≤μ≤8.93 represents the confidence interval
Step-by-step explanation:given
mean(x)=8.48 MPa
standard deviation(s)=0.79 MPa
as the population standard deviation is unknown, we utilize the t-statistic
formulatα,n-1=t=
}[/tex]where
s-sample standard deviation
x-sample mean
μ-population mean
n-sample size
for a 95% confidence interval and 13 degrees of freedom
t=1.771 (one tail, considering only the lower bound is needed)
for lower bound
x-t×
≤μ8.48-1.771×≤μ
t=2.160 (two-tailed)x-t×
≤μ≤x+t×8.48-2.160×≤μ≤8.48+2.160×
8.02≤μ≤8.93 establishes the needed confidence interval
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Step-by-step explanation:
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