Question
In: Statistics and Probability
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in...
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
alphaαequals=0.050.05,
is 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) through (e) below.
|
Mouse |
1 |
2 |
3 |
4 |
5 |
6 |
|
|---|---|---|---|---|---|---|---|
|
Weight (before) |
22.622.6 |
19.519.5 |
22.622.6 |
23.423.4 |
21.921.9 |
22.622.6 |
|
|
Weight (after) |
22.522.5 |
19.619.6 |
22.522.5 |
23.323.3 |
21.921.9 |
22.522.5 |
Solutions
Expert Solution
The table given below ,
| Mouse | Weight (before) (X) | Weight (after)(Y) | di=X-Y | di^2 |
| 1 | 22.6 | 22.5 | 0.1 | 0.01 |
| 2 | 19.5 | 19.6 | -0.1 | 0.01 |
| 3 | 22.6 | 22.5 | 0.1 | 0.01 |
| 4 | 23.4 | 23.3 | 0.1 | 0.01 |
| 5 | 21.9 | 21.9 | 0 | 0 |
| 6 | 22.6 | 22.5 | 0.1 | 0.01 |
 |
 |
From table ,
Let , 
Hypothesis : 
VS 
(Claim)
The test statistic is ,
The critical value is ,
; From Excel "=TINV(2*0.05,5)"
Decision : Here , the value of the test statistic does not lies in the rejection region
Therefore , fail to reject the null hypothesis.
Conclusion : Hence , there is not sufficient evidence to support the scientist claim that the pneumonia causes weight loss in mice.
orchestra answered 1 year agoRelated Solutions
A scientist claims that pneumonia is associated with weight loss in mice. The table shows the...
A scientist claims that pneumonia is associated with weight loss
in mice. The table shows the weights (in grams) of six mice before
infection and two days after the infection. At α=0.01 is there
enough evidence to support the scientist’s claim? (Assume the
samples are random and dependent, and the populations are normally
distributed). Hint: We are testing the claim that the weight before
pneumonia will be greater than the weight after.
Weight (before) 19.8 20.6 20.3 22.1 23.4 23.6...
A weight loss program claims that program participants have a mean weight loss of at least...
A weight loss program claims that program participants have a
mean weight loss of at least 10 pounds after 1 month. You work for
a medical association and are asked to test this claim. A random
sample of 30 program participants and their weight losses (in
pounds) after 1 month is listed in the table below. Assume the
population standard deviation is 3. At α = 0.01, is there enough
evidence to reject the program's claim?
Samples: 4.7, 6.0, 7.2,...
A weight loss program claims that program participants have a mean weight loss of at least...
A weight loss program claims that program participants have a
mean weight loss of at least 10 pounds after 1 month. The weight
losses (in pounds) of a random sample of 30 program participants
are listed below. At the 1% significance level, is this enough
evidence to reject the program’s claim?
4.7 6.0
7.2
8.3
9.2
10.1
14.0
11.7 12.8
10.8
11.0 7.2
8.0
4.7 11.8
10.7
6.1
8.8 7.7 8.5
9.5
10.2
5.6
6.9
7.9 8.6 10.5 9.6 5.7 9.6
In a test of the Weight Watchers weight loss program, weights of 42 subjects are recorded...
In a test of the Weight Watchers weight loss program, weights of
42 subjects are recorded before and after the program such that the
x-value is an individual's weight at the start of the program and
the y-value is the same person's weight after one year on the
program. The mean of the starting weights was 192.7 pounds. The
mean of the weights after one year was 178.2 pounds. The regression
equation was found to be yˆ=.802x+30.27ŷ=.802x+30.27. The critical
r-values...
A clinic offers a weight-loss program. The table below gives the amounts of weight loss, in...
A clinic offers a weight-loss program. The table below gives
the amounts of weight loss, in pounds, for a random sample of 20
of its clients at the conclusion of the program. Assume that the
data are normally distributed. Complete parts (a) and(b).
10
11
12
24
20
21
7
8
18
19
17
5
15
8
17
16
13
16
14
23
a.Find a 98% confidence interval for the population mean.
The 98% confidence interval is from a lower...
The following table shows the weights (in pounds) and the number of hours slept in a...
The following table shows the weights (in pounds) and the
number of hours slept in a day by a random sample of infants. Test
the claim that
Mnot equals≠0.
Use
alphaαequals=0.10.1.
Then interpret the results in the context of the problem. If
convenient, use technology to solve the problem.
Weight, x
8.28.2
10.110.1
9.99.9
7.17.1
6.96.9
11.111.1
10.910.9
15.115.1
Hours slept, y
14.814.8
14.714.7
14.114.1
14.214.2
13.913.9
13.213.2
13.813.8
12.412.4
1. Identify the null and alternative hypotheses.
2. Calculate the...
The following table shows the record of the weight of all boxes in an EMS delivery...
The following table shows the record of the weight of all boxes
in an EMS delivery truck.
Weight of box (lb)
No. of boxes
1-10
8
11-20
7
21-40
5
a) If you randomly select 8 boxes from this truck without
replacing the box after each pick, what is the probability that at
least 6 of them are 10 pounds or lighter?
b) If you randomly select 8 boxes from this truck with replacing
the box after each pick, what...
A new weight-loss program claims that participants will lose an average of more than 10 pounds...
A new weight-loss program claims that participants will lose an
average of more than 10 pounds after completing it. The
accompanying data table shows the weights of eight individuals
before and after the program. Complete parts (a) through (e)
below.
Person
Before
After
1
226
203
2
213
195
3
206
195
4
186
173
5
204
195
6
199
181
7
243
232
8
191
193
. a. Perform a hypothesis test using alphaαequals=0.10 to
determine if the average...
The table below shows the weights of seven subjects before and after following a particular diet...
The table below shows the weights of seven subjects before and
after following a particular diet for two months. Subject / A / B /
C / D / E / F / G
////////////////////////////////////////////////// Before / 165 /
151 / 196 / 175 / 179 / 172 / 191
////////////////////////////////////////////////// After / 166 /
154 / 169 / 164 / 176 / 193 / 169 Using a 0.01 level of
significance, test the claim that the diet is effective...
The data (3-2 WeightLoss (Links to an external site.)) shows the results of a weight-loss contest...
The data (3-2 WeightLoss (Links to an external site.))
shows the results of a weight-loss contest sponsored by a local
newspaper. Participants were encouraged to compete over a one-month
period. Was there a significant weight loss? That is, TEST
at the 1% level of significance if the mean weights after
the contest are lower than the weights before the contest? Use
“After” as Population 1 and
“Before” as Population 2.
Name
After
Before
Michael M.
202.5
217
Tracy S.
178...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- ***Convert the C++ to Python*** #include <iostream> using std::cout; using std::cin; using std::endl; int charClass; char...
- Make-or-Buy Decision Fremont Computer Company has been purchasing carrying cases for its portable computers at a...
- The following costs were incurred for the single product produced during the first year of operations...
- Non-constant growth model: Do=$2.00 required return on equity= 5% g= 9% n=1,2 g=7% n=3,4 g=3% n=5...
- . Find all x ∈ Z143 such that x2Ξ 7 (mod 143). Please explain all steps...
- #Python: A palindrome is a sequence of characters that reads the same backwards as forwards. For...
- Explain an example in which a variable has two different addresses at different places in a...
ADVERTISEMENT