Question

Calculate the margin of error of a confidence interval for the difference between two population means using the given information. Round your answer to six decimal places.

*σ*1=5.94σ1=5.94, *n*1=98n1=98,
*σ*2=2.87σ2=2.87, *n*2=79n2=79, *α*=0.05

Answer #1

As given in the question:

Margin of error for the difference between two population means is given by:

Where is the critical value of z-test at 0.05 level of significance. Here we used z-test because population standard deviations are given, in case sample standard deviations are given we will use t-test instead of using z-test.

Critical value of z-test =
**1.96** (using z-table) (for two tails)

Now by putting all the values in the formula,

M.E. = 1.3355372772

**M.E. = 1.335537** (Rounded to six decimal
places)

Calculate the margin of error of a confidence interval for the
difference between two population means using the given
information. Round your answer to six decimal places.
σ1=8.38
, n1=113, σ2=11.63, n2=105, c=0.99

Calculate the margin of error of a confidence interval for the
difference between two population means using the given
information. Round your answer to six decimal places. σ1=13.8 ,
n1=106 , σ2=10.49 , n2=114 , c=0.98

Find the margin of error and the 90 % confidence interval for
the following
n1 =
11; σ1
=
10 x̅1=
105
n2 =
12;
σ2 =
20
x̅2= 90

Use the t-distribution to find a confidence interval
for a difference in means μ1-μ2 given the relevant sample results.
Give the best estimate for μ1-μ2, the margin of error, and the
confidence interval. Assume the results come from random samples
from populations that are approximately normally distributed.
A 90% confidence interval for μ1-μ2 using the sample results
x¯1=81.1, s1=10.3, n1=35 and x¯2=67.1, s2=7.9, n2=20
Enter the exact answer for the best estimate and round your answers
for the margin of...

Question 8 of 8
Calculate the margin of error and construct the confidence
interval for the population mean (you may assume the population
data is normally distributed):
Standard Normal Distribution Table
a. x̄ =6.138,n=316, σ =0.941, α =0.05 x̄
=6.138,n=316, σ =0.941, α =0.05
E=E=
Round to 3 significant digits
< μ < < μ <
Round to 3 decimal places
b. x̄ =17.63,n=625, σ =3.44, α =0.01 x̄
=17.63,n=625, σ =3.44, α =0.01
E=E=
Round to 3 significant digits
<...

Question 8 of 8
Calculate the margin of error and construct the confidence
interval for the population mean (you may assume the population
data is normally distributed):
Standard Normal Distribution Table
a. x̄ =6.138,n=316, σ =0.941, α =0.05 x̄
=6.138,n=316, σ =0.941, α =0.05
E=E=
Round to 3 significant digits
< μ < < μ <
Round to 3 decimal places
b. x̄ =17.63,n=625, σ =3.44, α =0.01 x̄
=17.63,n=625, σ =3.44, α =0.01
E=E=
Round to 3 significant digits
<...

Consider the data to the right from two independent samples.
Construct 95% confidence interval to estimate the difference in
population means. Click here to view page 1 of the standard normal
table. LOADING... Click here to view page 2 of the standard normal
table.
x1= 44
x2=50
σ1=10
σ2=15
n1= 32
n2 = 39 The confidence interval is what two numbers, . (Round
to two decimal places as needed)

Recall the method used to obtain a confidence interval for the
difference between two population means for matched samples.
(a) The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
11
8
2
7
8
3
9
6
4
12
7
5
13
10
6
15
15
7
15
14
(b) Compute d.
(c) Compute the standard
deviation sd. (Round
your answer...

Confidence Interval for 2-Means (2 Sample T-Interval)
Given two independent random samples with the following
results:
n1=11
n2=17
x1¯=118
x2¯=155
s1=18
s2=13
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that the population
variances are equal and that the two populations are normally
distributed. Round values to 2 decimal places.
Lower and Upper endpoint?

Calculate the estimate for the standard error of the difference
between two proportions for each of the following cases. Consider
that the standard error is to be used in confidence interval
calculation. (Give your answers correct to four decimal places.)
The proper TI-84 program to use for these calculations is
PRGM - STDERROR -1 PROPORTION
PRGM - STDERROR -2 MEANS
PRGM - STDERROR -2 PROP-HYP TST
PRGM - STDERROR -2 PROP-CNF INT
(a) n1 = 30, p1' = 0.8, n2...

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