Question
In: Statistics and Probability
A sports and fitness magazine reported that the average maximum bench-press of high school varsity football...
A sports and fitness magazine reported that the average maximum bench-press of high school varsity football players is equal to 185 pounds. A local high school football coach believes that this number is too high. He randomly samples 16 varsity high school football players from the state, which showed a mean maximum bench-press weight of 177 pounds, and a standard deviation of the sample equal to 12.5 pounds. Is the high school football coach’s claim correct? Test the hypothesis at alpha = 0.05. Assume a simple random sample and the distribution is normally distributed.
What is the P-value for this
problem?
If using “Traditional Method,” the calculated value to compare to your alpha for this hypothesis test would be equal to what?
Solutions
orchestra answered 2 years agoRelated Solutions
A sports and fitness magazine reported that the average maximum bench-press of high school varsity football...
A sports and fitness magazine reported that the average
maximum bench-press of high school varsity football players is
equal to 185 pounds. A local high school football coach believes
that this number is too high. He randomly samples 16 varsity high
school football players from the state, which showed a mean maximum
bench-press weight of 177 pounds, and a standard deviation of the
sample equal to 12.5 pounds. Is the high school football coach’s
claim correct? Test the hypothesis at...
McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports...
McAllister et al. (2012) compared varsity football and hockey
players with varsity athletes from noncontact sports to determine
whether exposure to head impacts during one season have an effect
on cognitive performance. In their study, tests of new learning
performance were significantly poorer for the contact sport
athletes compared to the noncontact sport athletes.
The following presents data similar to the results obtained.
Data are the scores of a neurological test. Higher scores indicate
better performance.
Type of sport
Noncontact...
The mean throwing distance of a football for a Luis, a high school freshman quarterback, is...
The mean throwing distance of a football for a Luis, a high
school freshman quarterback, is 50 yards, with a standard deviation
of three yards. The team coach tells Luis to adjust his grip to get
more distance. The coach records the distances for 35 throws. For
the 35 throws, Luis’s mean distance was 54 yards. The coach thought
the different grip helped Luis throw farther than 50 yards. Conduct
a hypothesis test using a preset α = 0.01. Assume...
Suppose that a recent issue of a magazine reported that the average weekly earnings for workers...
Suppose that a recent issue of a magazine reported that the
average weekly earnings for workers who have not received a high
school diploma is $495. Suppose you would like to determine if the
average weekly for workers who have received a high school diploma
is significantly greater than average weekly earnings for workers
who have not received a high school diploma. Data providing the
weekly pay for a sample of 50 workers are available in the file
named WeeklyHSGradPay....
Suppose that a recent issue of a magazine reported that the average weekly earnings for workers...
Suppose that a recent issue of a magazine reported that the
average weekly earnings for workers who have not received a high
school diploma is $496. Suppose you would like to determine if the
average weekly for workers who have received a high school diploma
is significantly greater than average weekly earnings for workers
who have not received a high school diploma. Data providing the
weekly pay for a sample of 50 workers are available in the file
named WeeklyHSGradPay....
Suppose that a recent issue of a magazine reported that the average weekly earnings for workers...
Suppose that a recent issue of a magazine reported that the
average weekly earnings for workers who have not received a high
school diploma is $498. Suppose you would like to determine if the
average weekly for workers who have received a high school diploma
is significantly greater than average weekly earnings for workers
who have not received a high school diploma. Data providing the
weekly pay for a sample of 50 workers are available in the file
named WeeklyHSGradPay....
A high school runs a survey asking students if they participate in sports. The results are...
A high school runs a survey asking students if they participate
in sports. The results are found below. Run an independence test
for the data at α=0.01.
Freshmen Sophomores Juniors Seniors
Yes 75 88 55 42
No 30 28 38 40
Enter the test statistic - round to 4 decimal places.
The mean throwing distance of a football for Marco, a high school freshman quarterback, is 40...
The mean throwing distance of a football for Marco, a high
school freshman quarterback, is 40 yards, with a standard deviation
of two yards. The team coach tells Marco to adjust his grip to get
more distance. The coach records the distances for 20 throws. For
the 20 throws, Marco’s mean distance was 45 yards. The coach
thought the different grip helped Marco throw farther than 40
yards. Conduct a hypothesis test using a preset α = 0.05. Assume
the...
he mean throwing distance of a football for a Luis, a high school freshman quarterback, is...
he mean throwing distance of a football for a Luis, a high
school freshman quarterback, is 50 yards, with a standard deviation
of three yards. The team coach tells Luis to adjust his grip to get
more distance. The coach records the distances for 35 throws. For
the 35 throws, Luis’s mean distance was 54 yards. The coach thought
the different grip helped Luis throw farther than 50 yards. Conduct
a hypothesis test using a preset α = 0.01. Assume...
A leading magazine (like Barron's) reported at one time that the average number of weeks an...
A leading magazine (like Barron's) reported at one time that the
average number of weeks an individual is unemployed is 17.2 weeks.
Assume that for the population of all unemployed individuals the
population mean length of unemployment is 17.2 weeks and that the
population standard deviation is 8.1 weeks. Suppose you would like
to select a random sample of 190 unemployed individuals for a
follow-up study.
Find the probability that a single randomly selected value is
between 15.6 and 18.8....
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