Question

QUESTION 5 Construct a 95% confidence interval for μ 1 - μ 2. Two samples are randomly selected from normal populations.

The sample statistics are given below. n 1 = 8 n 2 = 7 1 = 4.1 2 = 5.5 s 1 = 0.76 s 2 = 2.51 (-1.132, 1.543) (2.112, 2.113) (-1.679, 1.987) (-3.813, 1.013)

Answer #1

Point estimate of differnce =x1-x2 = | -1.400 | ||

for 95 % CI & 6 df value of t= | 2.447 | ||

margin of error E=t*std error = | 2.413 | ||

lower bound=mean difference-E = | -3.813 | ||

Upper bound=mean differnce +E = | 1.013 |

**95% confidence interval for μ 1 - μ 2 =(-3.813 ,
1.013)**

Construct a 95% confidence interval for u1 = u2. Two samples are
randomly selected from normal populations. The sample statistics
are given below. Assume that 021 = 022.
N1 = 8 n2 = 7
x1 = 4.1 x2 = 5.5
s1 = 0.76 s2 = 2.51

4. Construct the confidence interval for μ 1 − μ 2 for the level
of confidence and the data from independent samples given. 99.5%
confidence: n 1 = 40, x - 1 = 85.6, s 1 = 2.8 n 2 = 20, x - 2 =
73.1, s 2 = 2.1 99.9% confidence: n 1 = 25, x - 1 = 215, s 1 = 7 n
2 = 35, x - 2 = 185, s 2 = 12

Construct a? 90% confidence interval for u1 - u2. Two samples
are randomly selected from normal populations. The sample
statistics are given below. Assume that 2?1= 2?2.
n1=?10, n2=?12, x overbar=?25, x overbar=?23, s1=?1.5,
s2=1.9

Construct a 90% confidence interval for u1 = u2. Two samples are
randomly selected from normal populations. The sample statistics
are given below. Assume that o21 = 022.
n1 = 10 n2 = 12
x1 = 25 x2 = 23
s1 = 1.5 s2 = 1.9

Give a 95% confidence interval, for μ 1 − μ 2 given the
following information. n 1 = 20 , X-Bar 1 = 2.82 , s 1 = 0.42 n 2 =
40 , X-Bar 2 = 2.95 , s 2 = 0.67 Rounded both solutions to 2
decimal places.

Give a 95% confidence interval, for μ 1 − μ 2 given the
following information.
n 1 = 30 , ¯ x 1 = 2.79 , s 1 = 0.91
n 2 = 35 , ¯ x 2 = 2.62 , s 2 = 0.68
____±____ Use Technology Rounded to 2 decimal places.
How do I solve this using technlology?

Use the given degree of confidence and sample data to
construct a confidence interval for the population mean μ. Assume
that the population has a normal distribution.
A sociologist develops a test to measure attitudes towards public
transportation, and 27 randomly selected subjects are given the
test. Their mean score is x ¯ = 76.2 and their standard deviation
is s = 21.4. Construct the 95% confidence interval for the mean
score of all such subjects.

1. Assume that we want to construct a confidence interval. Do
one of the following, as appropriate: (a) find the critical value
t Subscript alpha divided by 2, (b) find the critical value z
Subscript alpha divided by 2, or (c) state that neither the
normal distribution nor the t distribution applies. Here are
summary statistics for randomly selected weights of newborn girls:
n=181, x= 33.7 hg, s= 7.6 hg. The confidence level is 99%.
a. tα/2e=
B. za/2 =...

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)

Construct a confidence interval for the population mean using a
t-distribution: c = 95% m = 17.3 s = 4.1 n = 10

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 47 seconds ago

asked 7 minutes ago

asked 24 minutes ago

asked 33 minutes ago

asked 42 minutes ago

asked 42 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago