Question

consider the following results frmo two independent random samples taken from two populations. assume that the...

consider the following results frmo two independent random samples taken from two populations. assume that the variances are NOT equal.

Population 1 population 2
sample size 50 50
sample mean 35 30
sample variance 784 100

a) what is the "degrees of freedom" for these data?

b) what is the 95% confidence interval difference of the population means?

Homework Answers

Answer #1

a) what is the "degrees of freedom" for these data?

Degree of freedom formula is n-1

N = sample size

Here in both population 1 and 2 sample size would be 1

so n=1

DF = 1-1 = 0

b) what is the 95% confidence interval difference of the population means?

square root of variance is called as standard deviation

95 % confidence interval for population 1 (27.24, 42.76)

95 % confidence interval for population 1 (26.36, 33.64)

sample variance = 784

SD = Sqrt(784) = 28

sample variance = 100

SD = sqrt(100) = 10

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