Question
In: Statistics and Probability
To test the effect of a physical fitness course on one's physical ability, the number of...
To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 95% confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course.
| Sit-ups before | 57 | 24 | 36 | 46 | 47 | 38 | 38 | 25 | 50 | 36 |
|---|---|---|---|---|---|---|---|---|---|---|
| Sit-ups after | 59 | 32 | 39 | 52 | 58 | 40 | 50 | 27 | 57 | 52
Copy Data Step 1 of 4 : Find the point estimate for the population mean of the paired differences. Let x1 be the number of sit-ups before taking the course and x2 be the number of sit-ups after taking the course and use the formula d=x2−x1 to calculate the paired differences. Round your answer to one decimal place. Find standard deviation, margin of error (rounded to the sixth decimal place) |
Solutions
orchestra answered 1 year agoRelated Solutions
To test the effect of a physical fitness course on one's physical ability, the number of...
To test the effect of a physical fitness course on one's
physical ability, the number of sit-ups that a person could do in
one minute, both before and after the course, was recorded. Ten
individuals are randomly selected to participate in the course. The
results are displayed in the following table. Using this data, find
the 90% confidence interval for the true difference in the number
of sit-ups each person can do before and after the course. Assume
that the...
To test the effect of a physical fitness course on one's physical ability, the number of...
To test the effect of a physical fitness course on one's
physical ability, the number of sit-ups that a person could do in
one minute, both before and after the course, was recorded. Ten
individuals are randomly selected to participate in the course. The
results are displayed in the following table. Using this data, find
the 99%
confidence interval for the true difference in the number of
sit-ups each person can do before and after the course. Assume that
the...
To test the effect of a physical-fitness course on one’s physical ability, the number of sit-ups...
To test the effect of a physical-fitness course on one’s
physical ability, the number of sit-ups that a person could do in 1
minute, both before and after the course, was recorded. Six
randomly selected participants scored as shown below. Can we
conclude that a significant amount of improvement took place? Use α
= 0.01 and assume normality. (Please show all steps of classical
approach.)
Before 29 22 25 29 26 24
After 30 26 25 35 33 36
A fitness course claims that it can improve an individual's physical ability. To test the effect...
A fitness course claims that it can improve an individual's
physical ability. To test the effect of a physical fitness course
on one's physical ability, the number of sit-ups that a person
could do in one minute, both before and after the course, was
recorded. Ten individuals are randomly selected to participate in
the course. The results are displayed in the following table. Can
it be concluded, from the data, that participation in the physical
fitness course resulted in significant...
A fitness course claims that it can improve an individual's physical ability. To test the effect...
A fitness course claims that it can improve an individual's
physical ability. To test the effect of a physical fitness course
on one's physical ability, the number of sit-ups that a person
could do in one minute, both before and after the course, was
recorded. Ten individuals are randomly selected to participate in
the course. The results are displayed in the following table. Can
it be concluded, from the data, that participation in the physical
fitness course resulted in significant...
A fitness course claims that it can improve an individual's physical ability. To test the effect...
A fitness course claims that it can improve an individual's
physical ability. To test the effect of a physical fitness course
on one's physical ability, the number of sit-ups that a person
could do in one minute, both before and after the course, was
recorded. Ten individuals are randomly selected to participate in
the course. The results are displayed in the following table. Can
it be concluded, from the data, that participation in the physical
fitness course resulted in significant...
A fitness course claims that it can improve an individual's physical ability. To test the effect...
A fitness course claims that it can improve an individual's
physical ability. To test the effect of a physical fitness course
on one's physical ability, the number of sit-ups that a person
could do in one minute, both before and after the course, was
recorded. Ten individuals are randomly selected to participate in
the course. The results are displayed in the following table. Can
it be concluded, from the data, that participation in the physical
fitness course resulted in significant...
A physical fitness association is including the mile run units secondary-school fitness test. The time for...
A physical fitness association is including the mile
run units secondary-school fitness test. The time for this event
for boys in secondary school is known to possess a normal
distribution with a mean of 475 seconds and a standard deviation of
65 seconds. Find the probability that a randomly selected boy in
secondary school will take longer than 354 seconds to run the
mile.
To study the effect of caffeine on cognitive ability, a cognitive ability test was administered to...
To study the effect of caffeine on cognitive ability,
a cognitive ability test was administered to 8 students under two
conditions on different days: Condition A) Without caffeine, and
Condition B) after the students enjoyed a pumpkin spice latte. The
students were randomized to determine if they did Condition A first
or Condition B first (on separate days). The following are the
results from the test:
Student
Condition A
Condition B
1
68
69
2
87
88
3
61
65...
In a test of physical fitness, a group of men ages 65 and older from a...
In a test of physical fitness, a group of men ages 65 and older
from a local retirement community were told to do
as many sit-ups as they could. It is known the
population mean is 20 with a population standard deviation of 8.
The scores from the retirement community are given below. Use a
two-tailed region of rejection with a criterion
probability of .05. What is (answer a-f),
24, 25, 10, 23, 18, 29, 47, 32, 19, 24, 20,...
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