Question

Suppose in a popular fishing lake, 10 largemouth bass are caught, and each of their lengths (in inches) are recorded below: Length Fish #1 #2 3 #4 #5 #6 7 #8 #9 #10 ches, 17.1 15.0 15.8 15.2 17.117.713.0 15.4 16.8 12.1 Furthermore, suppose it is known that the population standard deviation for length is o distributed = 1.04, and that the length of largemouth bass is normally a) What is a point estimate of the population mean length? Round your response to at least 2 decimal places Number b) What is a 90% confidence interval for the population mean length? Enter your response in the interval notation: (lower limit, upper limit). Include the brackets in your response Round your values for lower limit and upper limit to at least 3 decimal places

Answer 1

sample mean 'x̄=	15.520
sample size    n=	10.00
std deviation σ=	1.040
std error ='σx=σ/√n=	0.3289
test stat z = '(x̄-μ)*√n/σ=	3.710

for 90 % CI value of z=		1.645
margin of error E=z*std error =		0.541
lower bound=sample mean-E=		14.979
Upper bound=sample mean+E=		16.061

a)

point estimate =15.52

b)

90% Ci =(14.979 , 16.061)