Question
In: Statistics and Probability
Test the claim that the paired sample data is from a population with a mean difference...
Test the claim that the paired sample data is from a population with a mean difference of 0. Assume the samples are random and dependent, and the populations are normally distributed. Use α = 0.05.
A 19 17 36 32 20
B 17 13 14 24 11
Solutions
Expert Solution
To test the claim that the paired sample data is from a population with a mean difference of 0
we check if mean of the two samples are equal :
(please UPVOTE)
orchestra answered 2 years agoRelated Solutions
Provide an appropriate response. Test the claim that the paired sample data is from a population...
Provide an appropriate response.
Test the claim that the paired sample data is from a population
with a mean difference of 0. Assume the samples are random and
dependent, and the populations are normally distributed. Use
.
Select one:
A. Reject H0: There is sufficient evidence to reject
the claim.
B. Fail to reject H0: There is sufficient evidence to
reject the claim.
C. Fail to reject H0: There is not sufficient
evidence to reject the claim.
D. Reject H0:...
Suppose you want to test the claim the the paired sample data given below come from...
Suppose you want to test the claim the the paired sample data
given below come from a population for which the mean difference is
μd=0μd=0.
x: 51 66 54 78 89 71 70
y: 91 63 56 79 59 77 56
Use a 0.050.05 significance level to find the following:
(a) The mean value of the differnces dd for
the paired sample data
d⎯⎯⎯=d¯=
(b) The standard deviation of the
differences dd for the paired sample data
sd=sd=
(c) The t test statistic...
Suppose you want to test the claim the paired sample data given below come from a...
Suppose you want to test the claim the paired sample data given
below come from a population for which the mean difference is
??=0.
x 73 59 88 59 67 86 51
y 67 65 80 55 76 67 57
Use a 0.05 significance level to find the following:
(a) The mean value of the difference ? for
the paired sample data
d¯=
(b) The standard deviation of the
differences ? for the paired sample data
??=
(c) The t-test statistic
?=
(d) The...
The following sample data have been collected from a paired sample from two populations. The claim...
The following sample data have been collected from a paired
sample from two populations. The claim is that the first population
mean will be at least as large as the mean of the second
population. This claim will be assumed to be true unless the data
strongly suggest otherwise.
Population Data
Sample 1
Sample 2
4.4
3.7
2.7
3.5
1.0
4.0
3.5
4.9
2.8
3.1
2.6
4.2
2.4
5.2
2.0
4.4
2.8
4.3
State the appropriate null and alternative hypotheses....
Test the claim that the true population mean is statistically equal to 40, given a sample...
Test the claim that the true population mean is statistically
equal to 40, given a sample of 150 observations for which the mean
is 41.6. Assume that the true population standard deviation is 9,
and test at the .01 level of significance. Provide a complete
solution using the classical approach
Given the following random sample from a normally distributed population, test the claim that the population...
Given the following random sample from a normally distributed
population, test the claim that the population has a standard
deviation greater than 9.2, using a 5% level of significance. Show
your work in the following steps: A) State the null and alternative
hypotheses. B) Find the critical value(s). C) Calculate the test
statistic. D) Make the decision to reject the null hypothesis or
not. E) State the conclusion.
Sample:
51 53 65
47 63 73
35 54 64
57 64...
You wish to test the claim that the first population mean is not equal to the...
You wish to test the claim that the first population mean is not
equal to the second population mean at a significance level of
α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain the following two samples of data.
Sample #1
Sample #2
80.8
78.4
96.5
55.2
74.6
53.8
57.1
43.8
108.1
65.1
57.8
85.7
69.5
89.5
93.0
98.7
75.1
98.0
87.9
76.7
78.0
88.8
84.0
96.9
76.7
What is the test statistic for this sample?
test statistic = Round to 4 decimal places....
You wish to test the claim that the first population mean is not equal to the...
You wish to test the claim that the first population mean is not
equal to the second population mean at a significance level of
α=0.005α=0.005.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain the following two samples of data.
Sample #1
Sample #2
100.7
93.4
98.6
83.3
98.6
99.1
83.0
91.4
104.9
81.0
99.6
79.1
75.2
79.0
74.8
83.1
86.4
82.6
65.1
65.9
82.0
81.0
81.8
95.3
80.0
92.0
80.6
What is the test statistic for this sample?
test statistic = Round to 3...
Use a t-test to test the claim about the population mean μ at the given level...
Use a t-test to test the claim about the population mean μ at
the given level of significance alphaα using the given sample
statistics. Assume the population is normally distributed.
Claim: μ= 51,800; alphaα= 0.05
Sample statistics:
x overbar= 50,889, s=2800, n=18
What are the null and alternative hypotheses? Choose the
correct answer below.
A.
H0: μ= 51,800
Ha: μ≠ 51,800
B.
H0:μ≤ 51,800
Ha: μ> 51,800
C.
H0: μ ≥ 51,800
Ha: μ < 51,800
D.
H0: μ ≠...
Test the claim that for the population of statistics final exams, the mean score is 7777...
Test the claim that for the population of statistics final
exams, the mean score is 7777 using alternative hypothesis that the
mean score is different from 77.77. Sample statistics include n=22,
x¯=78, and s=16. Use a significance level of .α=0.05. (Assume
normally distributed population.)
The test statistic is
The positive critical value is
The negative critical value is
The conclusion is
A. There is not sufficient evidence to reject the
claim that the mean score is equal to 77.
B....
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