Question
In: Statistics and Probability
You are given the following results from a sample of five observations. 4 6 3 4...
You are given the following results from a sample of five observations. 4 6 3 4 3
a. Construct a 99% confidence interval for the population variance.
b. The null and alternative hypotheses are H0: σ2 ≥ 2 and Ha: σ2 < 2. Compute the test statistic.
c. Perform the test of the hypothesis at the 1% level.
d. What do you conclude about the population variance?
Solutions
Expert Solution
Solution-
a)
b) , c) and d) answers are below.
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orchestra answered 2 years agoRelated Solutions
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The following sample of observations was randomly selected.
x:
5
3
6
3
4
4
6
8
y:
13
15
7
12
13
11
9
5
Determine the regression equation. Use Excel Regression.
(Negative values should be indicated by a minus sign. Round
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Y=
You are given the following information obtained from a sample of 5 observations taken from a...
You are given the following information obtained from a sample
of 5 observations taken from a population that has a normal
distribution. 76 67 83 61 63
Develop a 98% confidence interval estimate for the mean of the
population.
3.) Given are five observations collected in a regression study on two variables. 2 6 9...
3.) Given are five observations collected in a regression study
on two variables.
2
6
9
13
20
7
18
9
26
23
Develop a scatter diagram for these data.
Develop the estimated regression equation for these data.
Use the estimated regression equation to predict the value of
y when x=6
17.) The data from exercise 3 follow.
2
6
9
13
20
7
18
9
26
23
The estimated regression equation for these data is . What
percentage of...
The following sample observations were randomly selected. x: 6, 5, 4, 6, 10 y: 4, 6,...
The following sample observations were randomly selected. x: 6,
5, 4, 6, 10 y: 4, 6, 5, 2, 11. Determine the 0.95 confidence
interval for the mean predicted when x=9. Determine the 0.95
prediction interval for an individual predicted when x=9.
The following sample observations were randomly selected: X) 6 5 4 6 10 Y) 4 ...
The following sample observations were randomly selected:
X) 6 5 4 6
10
Y) 4 6
5 2 11
a.) Determine the 0.95 confidence interval for the mean
predicted when x=9.
[
,
]
b.) Determine the 0.95 prediction interval for an individual
predicted when x=9
[
,
]
Given are five observations for two variables, and . xi1 2 3 4 5 yi4 7...
Given are five observations for two variables, and . xi1 2 3 4 5
yi4 7 6 12 14 The estimated regression equation for these data is .
a. Compute SSE, SST, and SSR using the following equations (to 1
decimal). SSE SST SSR b. Compute the coefficient of determination
(to 3 decimals). Does this least squares line provide a good fit?
c. Compute the sample correlation coefficient (to 4 decimals).
Given are five observations for two variables, xi yi 1 3 2 8 3 5 4...
Given are five observations for two variables,
xi
yi
1
3
2
8
3
5
4
11
5
14
Round your answers to two decimal places.
a. Estimate the standard deviation of ŷ* when x = 4. 2
b. Develop a 95% confidence interval for the expected value of y
when x = 4.
c. Estimate the standard deviation of an individual value of y
when x = 4.
d. Develop a 95% prediction interval for y when x =...
Given are five observations for two variables, and . 3 6 12 17 20 59 54 47...
Given are five observations for two variables, and
.
3
6
12
17
20
59
54
47
14
16
The estimated regression equation for these data is y = 70.84 -
2.83x
a. Compute SST, SSE , and SSR.
(to 2 decimals)
(to 2 decimals)
(to 2 decimals)
b. Compute the coefficient of determination
r^2. Comment on the goodness of fit.
(to 3 decimals)
The least squares line provided an - Select your answer
-goodbadItem 5 fit; of the variability
in has been...
A random sample of five observations from three normally distributed populations produced the following data: (You...
A random sample of five observations from three normally
distributed populations produced the following data: (You
may find it useful to reference the F
table.)
Treatments
A
B
C
24
18
31
26
21
27
19
27
21
24
23
16
30
19
30
x−Ax−A
=
24.6
x−Bx−B
=
21.6
x−Cx−C
=
25.0
s2AsA2
=
15.8
s2BsB2
=
12.8
s2CsC2
=
40.5
Click here for the Excel Data File
a. Calculate the grand mean. (Round
intermediate calculations to at least...
A random sample of five observations from three normally distributed populations produced the following data: (You...
A random sample of five observations from three normally
distributed populations produced the following data: (You
may find it useful to reference the F
table.)
Treatments
A
B
C
25
17
22
25
19
26
27
25
26
32
18
30
18
17
27
x−Ax−A
=
25.4
x−Bx−B
=
19.2
x−Cx−C
=
26.2
s2AsA2
=
25.3
s2BsB2
=
11.2
s2CsC2
=
8.2
Treatments
A
B
C
25
17
22
25
19
26
27
25
26
32
18
30
18
17...
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