Question

Give a 99.9% confidence interval, for μ1−μ2μ1-μ2 given the
following information.

n1=50n1=50, ¯x1=2.32x¯1=2.32, s1=0.68s1=0.68

n2=35n2=35, ¯x2=1.98x¯2=1.98, s2=0.38s2=0.38

For degrees of freedom, use the smaller of

(n1−1)(n1-1) and (n2−1)(n2-1)

tα2tα2 = tinv(α, df)

SE = sqrt((s1s1)^2 / n1n1 + (s2s2)^2 / n2n2)

E = tα2tα2 * SE

CI = (¯x1−¯x2)±E(x¯1-x¯2)±E

Rounded both solutions to 2 decimal places.

Can I have this done in excel please?

Answer #1

**Given:**

n1 = 50, n2 = 35, = 2.32, = 1.98, S1 = 0.68, S2 = 0.38, = 0.001

**Degrees of freedom** =

**Critical value:**

..........................Using t table

**Standard Error (SE):**

Margin of error (ME) = Critical value * SE

**Margin of error (ME) = 3.4180 * 0.12 =
0.3953**

**99.9% Confidence interval:**

(2.32 - 1.98) - 0.3953 to (2.32 - 1.98) + 0.3953

**(-0.06 to 0.74)**

**We are 99.9% Confident that Population mean difference
is lies between this interval.**

Give a 98% confidence interval, for μ1−μ2μ1-μ2 given the
following information.
n1=35n1=35, ¯x1=2.69x¯1=2.69, s1=0.7s1=0.7
n2=40n2=40, ¯x2=3.15x¯2=3.15, s2=0.46s2=0.46
±± Rounded to 2 decimal places

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.9
s2 = 8.5
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t...

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations assuming the variances are unequal.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.7
s2 = 8.2
(a) What is the value of the test statistic? (Use x1
− x2. Round your answer to three decimal
places.)
(b) What is the degrees of...

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...

n1=37, n2=37, s1= 7.4345, s2= 3.4927, x1= 23.237, x2 = 22.526
Please perform: One Hypothesis test, an F test for the equality of
the variances of travel Times and the second test is a T-test for
the equality of the means of travel times in MINUTES. The F test
must be performed first in order to select either Case1 or Case 2
for the T-test. Then perform the Required T-test (either case 1 or
2 depending on your findings of...

Construct a
99%
confidence interval for
mu 1 minus mu 2μ1−μ2
with the sample statistics for mean cholesterol content of a
hamburger from two fast food chains and confidence interval
construction formula below. Assume the populations are
approximately normal with unequal variances.
Stats
x overbar 1 equals 134 mg comma s 1 equals 3.64 mg comma n 1
equals 20x1=134 mg, s1=3.64 mg, n1=20
x overbar 2 equals 88 mg comma s 2 equals 2.02 mg comma n 2
equals...

Assume that you have a sample of n 1 equals n1=9, with the
sample mean Upper X overbar 1 equals X1=50, and a sample standard
deviation of Upper S 1 equals 5 comma S1=5, and you have an
independent sample of n 2 equals n2=17 from another population with
a sample mean of Upper X overbar 2 equals X2=39
and the sample standard deviation Upper S2=6.
Complete parts (a) through (d).
a. What is the value of the pooled-variance tSTAT...

Given two independent
random samples with the following results:
n1=9
n2=13
x‾1=153 x‾2=113
s1=30
s2=26
Use this data to find
the 95% confidence interval for the true difference between the
population means. Assume that the population variances are not
equal and that the two populations are normally distributed.
Copy Data
Step 2 of 3 :
Find the margin of
error to be used in constructing the confidence interval. Round
your answer to six decimal places.

Exercise 1. Based on the following information:
Population 1
Population 2
n1 = 50
n2= 80
x1 = 355
x2 = 320
population standard deviation 1= 34
population standard deviation 2= 40
What is the best point estimate for the difference between two
population means (mean 1− mean 2)?
Construct a 95% confidence interval estimate for the difference
between two population means.

Given two independent random samples with the following
results:
n1=17
x‾1=185
s1=22
n2=12
x‾2=150
s2=15
Use this data to find the 98%
confidence interval for the true difference between the
population means. Assume that the population variances are not
equal and that the two populations are normally distributed.
Step 1 of 3 : Find the critical value that should be
used in constructing the confidence interval. Round your answer to
three decimal places.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 13 minutes ago

asked 16 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 25 minutes ago