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You may need to use the appropriate appendix table or technology to answer this question. The following...

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Basic Math

You may need to use the appropriate appendix table or technologyto answer this question.

The following results come from two independent random samplestaken of two populations.

Sample 1Sample 2

n1 = 50

n2 = 25

x1 = 13.6

x2 = 11.6

?1 = 2.5

?2 = 3

(a)

What is the point estimate of the difference between the twopopulation means? (Use

x1 ? x2.)

(b)

Provide a 90% confidence interval for the difference between thetwo population means. (Use

x1 ? x2.

Round your answers to two decimal places.)

to

(c)

Provide a 95% confidence interval for the difference between thetwo population means. (Use

x1 ? x2.

Round your answers to two decimal places.)

to

Answer & Explanation Solved by verified expert
4.4 Ratings (674 Votes)

sample 1 sample 2
x1            = 13.600 x2            = 11.600
n1           = 50 n2           = 25
?1           = 2.500 ?2           = 3.000
std error ??1-?2=?(?21/n1+?22/n2)    = 0.6964

a)

Point estimate of differnce '=x1-x2 = 2.000

b)

for 90 % CI value of z= 1.645
margin of error E=z*std error = 1.1455
lower bound=(x1-x2)-E = 0.85
Upper bound=(x1-x2)+E = 3.15
from above 90% confidence interval for population mean =(0.85 , 3.15)

c)

for 95 % CI value of z= 1.9600
margin of error E=z*std error = 1.3650
lower bound=(x1-x2)-E = 0.64
Upper bound=(x1-x2)+E = 3.36
from above 95% confidence interval for population mean =(0.64,3.36)

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