Question
In: Statistics and Probability
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the right. Complete parts a through e.
Xbar 1: 5275 s1: 148
Xbar 2: 5240 s2: 210
a. use a 95% confidence interval to estimate the difference between the population means (u1 - u2). Interpret the confidence interval.
b. test the null hypothesis H0: (u1 - u2) = 0 versus the alternative hypothesis Ha:(u1 - u2) =/ 0. Give the significance level of the test, and interpret the result.
c. Suppose the test in part b was conducted with the alternative hypothsis Ha:(u1 - u2) > 0. How would your answer to part b change?
d. test the null hypothesis H0:(u1 - u2) = 30 versus Ha:(u1 - u2) =/ 30. Give the significance level, and interpret the result. Compare your answer to the test conducted in part b.
e. What assumptions are neccessary to ensure the validity of the inferential procedures applied in parts a - d?
Solutions
orchestra answered 1 year agoRelated Solutions
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent
random samples of 400 observations are selected from each
population with the following results:
Sample 1
Sample 2
Sample Mean = 5275
Sample Mean = 5240
s1 = 150
s2 = 200
To test the null hypothesis H0: µ1 -
µ2 = 0 versus the alternative hypothesis Ha:
µ1 - µ2 ╪ 0 versus the alternative hypothesis
at the 0.05 level of significance, the most accurate statement
is:
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare
the means of two populations, independent random samples of 400
observations are selected from each population with the following
results:
Sample 1
Sample 2
Sample Mean = 5275
Sample Mean = 5240
s1 = 150
s2 = 200
To test the null
hypothesis H0: µ1 - µ2 = 0 versus
the alternative hypothesis Ha: µ1 -
µ2 ╪ 0 versus the alternative hypothesis at the 0.05
level of significance, the most accurate statement is
The value...
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent
random samples of 400 observations are selected from each
population, with the results found in the table to the right.
Complete parts a through e.
Sample 1
x1 = 5,265
s1 = 157
Sample 2
x2 = 5,232
s2 = 203
a. use a 95% confidence interval to estimate the difference
between the population means (u1 - u2). Interpret the confidence
interval.
b. test the null hypothesis H0: (u1 -...
In order to compare the means of two populations, independent random samples of 424 observations are...
In order to compare the means of two populations, independent
random samples of 424 observations are selected from each
population, with the following results:
Sample 1
Sample 2
x¯1=5169
x¯2=5417
s1=135
s2=130
Use a 96% confidence interval to estimate the difference between
the population means (μ1−μ2).
? ≤(μ1−μ2)≤ ?
Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative
hypothesis: Ha:(μ1−μ2)≠0. Using α=0.04, give the following:
the test statistic z =
postive critical z score =
negative critical z score =
The...
In order to compare the means of two populations, independent random samples of 395 observations are...
In order to compare the means of two populations,
independent random samples of 395
observations are selected from each population, with the results
found in the table to the right. Complete parts a through e
below.
Sample 1
Sample 2
x1=5,294
x2=5,261
s1 =153
s2=197
a. Use a 95% confidence interval to estimate the difference
between the population means
left parenthesis mu 1 minus mu 2 right parenthesisμ1−μ2.
Interpret the confidence interval.The confidence interval is
(Round to one decimal...
n order to compare the means of two populations, independent random samples of 475 observations are...
n order to compare the means of two populations, independent
random samples of 475 observations are selected from each
population, with the following results: Sample 1 Sample 2
?⎯⎯⎯1=5228 ?⎯⎯⎯2=5165 ?1=120 ?2=160 (a) Use a 97 % confidence
interval to estimate the difference between the population means
(?1−?2). ≤(?1−?2)≤ (b) Test the null hypothesis: ?0:(?1−?2)=0
versus the alternative hypothesis: ??:(?1−?2)≠0. Using ?=0.03, give
the following: (i) the test statistic ?= 1.963 (ii) the positive
critical ? score (iii) the negative...
1) In order to compare the means of two populations, random samples of 105 observations are...
1) In order to compare the means of two populations, random
samples of 105 observations are selected from each population with
the following results: Sample 1 Sample 2 x1 = 258 x2 = 281 s1 =
17.2 s2 = 21.2
Test the null hypothesis H0: (μ1 - μ2 ) = 0 against the
alternative hypothesis H1: (μ1 - μ2 ) ≠ 0 using α = .1 Use the
testing method of your choice. Indicate what operation that you ran
in...
In order to compare the means of two populations, independent random samples are selected from each...
In order to compare the means of two populations, independent
random samples are selected from each population, with the results
shown in the table below. Use these data to construct a 98%
confidence interval for the difference in the two population
means.
Sample 1
Sample 2
Sample size
500
400
Sample mean
5,280
5,240
Sample standard dev.
150
200
In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results:
In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results:
Sample 1
Sample 2
x¯¯¯1=0x¯1=0
x¯¯¯2=4x¯2=4
s1=145s1=145
s2=100s2=100
(a) Use a 99 % confidence interval to estimate the difference between the population means (μ1−μ2).
_______ ≤ (μ1−μ2) ≤ ________
(b) Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0.
Using α=0.01α=0.01, give the following:
the test statistic z=
The final conclusion is
A. There is not...
In order to compare the means of two populations, independent random samples of 253 observations are selected from each population, with the following results:
In order to compare the means of two populations, independent random samples of 253 observations are selected from each population, with the following results:
Sample 1
Sample 2
x¯1=1
x¯2=2
s1=190
s2=145
(a) Use a 97 % confidence interval to estimate the difference between the population means (μ1−μ2).
≤(μ1−μ2)≤(b) Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0. Using α=0.03, give the following:
the test statistic z=
The final conclusion is
A. There is not sufficient evidence to reject the...
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