Question

with 90% confidence, for sample mean 375.00 sample standard deviation 12.80 and sample size 35, what is the upper confidence limit with 2 decimal places

Answer 1

SOLUTION:

From given data,

with 90% confidence, for sample mean 375.00 sample standard deviation 12.80 and sample size 35, what is the upper confidence limit with 2 decimal places

Where,

sample mean = = 375.00

standard deviation = = 12.80

sample size = = 35

Degree of freedom = df = n=1 = 35-1 = 34

90% confidence

90% = 90/100 = 0.90

= 1-0.90 = 0.1

Critical value

t_,df = t_0.10,34 = 1.307

upper confidence limit

+ t_,df * (/sqrt(n))

375.00 + 1.307 * (12.80 /sqrt(35))

375.00 + 2.8278

377.8278

Upper confidence limit = 377.83