find the critical value(s) round 3 decimal places . b) calculate the mean of the differences between the paired data entries in the dependent samples c) calculate sd d) find the standardized test statistic round 3 decimal places
find the critical value(s) round 3 decimal places . b) calculate the mean of the differences between the paired data entries in the dependent samples c) calculate sd d) find the standardized test statistic round 3 decimal places
find the critical value(s) round 3 decimal places . b) calculate the mean of the differences between the paired data entries in the dependent samples c) calculate sd d) find the standardized test statistic round 3 decimal places
A) find the critical value(s) round 3 decimal places .
b) calculate the mean of the differences between the paired data entries in the dependent samples
c) calculate sd
d) find the standardized test statistic round 3 decimal places
Transcribed Image Text:A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a=0.01, is
through (e) below.
there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a)
Mouse
Weight (before)
Weight (after)
OC. Weight loss causes pneumonia in mice.
OD. Weight gain causes pneumonia in mice.
Let μd be the hypothesized mean of the difference in the weights (before-after). What are Ho and H₂?
OA. Ho: Pd #0
Ha: Pd=0
D. Ho: Ha ≤0
Ha: Pd>0
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C
(b) Find the critical value(s) and identify the rejection region(s).
Select the correct choice below and fill in any answer boxes to complete your choice.
(Round to three decimal places as needed.)
O A. t>
OB. t<
OC. t<
X
F4
$
4
2
4
5
6
3
22.4 21.4 23.3 20.2 21.3 19.8
22.2 21.3 23.2 20.2 21.1 19.8
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R
F
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F5
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5
V
C
D
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F6
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6
OB. Ho: Pad
Hai Hd >d
B
ⒸE. Ho: Pd=0
Ha: Pd #0
+
Y
F7
H
&
7
N
F8
U
* CO
8
F9
M
09
(
9
B
K
F10
OC. Ho: Pd 20
Ha Hd <0
OF Ho: Pazd
Hai Hd <d
O
V
F11
0
Clear all
L
P
V
F12
Check answer
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1
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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