The health of the bear population in Yellowstone National Park
is monitored by periodic measurements taken from anesthetized
bears. A sample of 38 bears has a mean weight of 188.2 lb. At α = .01, can it be concluded that the average weight of a bear in Yellowstone National Park is different from 187 lb? Note that the standard deviation of the weight of a bear is known to be 8.2 lb. |
(a) | Find the value of the test statistic for the above hypothesis. |
(b) | Find the critical value. |
(c) | Find the p-value. |
(d) | What is the correct way to draw a conclusion regarding the above hypothesis test? |
(A) If the answer in (c) is greater than 0.01 then we conclude
at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(B) If the answer in (c) is less than 0.01 then we
cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(C) If the answer in (a) is greater than the answer in (b) then
we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(D) If the answer in (c) is less than 0.01 then we conclude at
the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(E) If the answer in (a) is greater than the answer in (c) then
we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(F) If the answer in (b) is greater than the answer in (c) then
we cannot conclude at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(G) If the answer in (a) is greater than the answer in (c) then
we conclude at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
(H) If the answer in (b) is greater than the answer in (c) then
we conclude at the 1% significance
level that the average weight of a bear in Yellowstone National
Park is different from 187 lb.
In: Math
For each of the following statements, list the independent and dependent variables, and give the research hypothesis and the null hypothesis.
An official at the state transportation office thinks that switching over from manual to automated toll collection will decrease administrative costs, and asks you to do a survey of other states costs and collection practices to determine if this is true.
The local firefighter’s union in your town claims that its salaries are lower than those of firefighters in other towns.
A legal advocacy group charges that local cops are pulling over Black drivers at higher rates than White drivers.
A official claim that the recent decrease in crime can be attributed to the city’s new neighborhood watch program
In: Math
Some people are concerned that new tougher standards and high-stakes tests adopted in many states have driven up the high school dropout rate. The National Center for Education Statistics reported that the high school dropout rate for the year 2014 was 6.5%. One school district whose dropout rate has always been very close to the national average reports that 125 of their 1767 high school students dropped out last year. Is this evidence that their dropout rate may be increasing? Explain.
Compute the test statistic?
(Round to two decimal places as needed.)
What is the P-value
In: Math
(A) Discuss the probability of landing on heads if you flipped a coin 10 times?
(B) What is the probability the coin will land on heads on each of the 10 coin flips?
(C) Apply this same binomial experiment to a different real-world situation. Describe a situation involving probability?
please explain each and show work. showing the steps to the answer would be great..
In: Math
Please think of an example of a value that you have seen or heard recently, and then tell us if this is qualitative or quantitative, is it discrete or continuous, and is it nominal, ordinal, interval, or ratio level of measurement. Classmates, do you agree with this categorization? Why or why not? These can be tricky to sort out, so we may have some back-and-forth discussion on these.
In: Math
An air conditioning company servicing a certain machine room guarantees that the temperature in the room stays below 20o C. Due to malfunctioning of the equipment operating in the machine room, it is suspected that the average temperature actually exceeds 20o for more or less extended periods of time. Seven temperature measurements are collected throughout the day and the following temperatures are observed, 20.8, 20.2, 20.9, 21.5, 22.2, 21.2, 19.8. Assuming that the temperature is at least approximately normally distributed,
a) can you say at a 5% significance level that the room temperature is actually above 20o C?
b) what is the (approximate) p-value for this test? What does it tell you about the conclusion you have just made regarding the room temperature?
c) What is the probability that this test fails to reject Ho even though the true mean temperature is 21o C?
In: Math
Analysis Paper on : The impact of family structure on the health of children: Effects of divorce.
In: Math
A sample of final exam scores is normally distributed with a mean equal to 23 and a variance equal to 16.
Part (a)
What percentage of scores are between 19 and 27? (Round your answer to two decimal places.)
Part (b)
What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.)
Part (c)
What is the proportion below 17? (Round your answer to four decimal places.)
Part (d)
What is the probability of a score less than 29? (Round your answer to four decimal places.)
In: Math
The strategy of the courtroom is a subtle thing. Common sense
would say that a criminal who admits guilt is treated more
leniently while a defiant criminal gets a harsher sentence. To see
if this is actually true, data was gathered from criminal courts to
determine if criminals who plead guilty receive lighter sentences
than those who plead guilty.
Variables:
a) sentence: Sentence Length (in months).
b) served: Actual sentence served (in months).
c) plea: either a not guilty plea or a guilty plea.
Sentence Served Plea
24 8.75 Not Guilty
33.5 6.5 Not Guilty
25.5 6.5 Gulity
18 12.5 Not Guilty
18.5 11 Gulity
44.5 14.5 Not Guilty
38.5 20 Not Guilty
50.5 22 Not Guilty
12.5 1 Gulity
102 10.75 Gulity
30 1.5 Gulity
Perform a two sample t-test to compare the sentences served by
those who plead guilty and those who do not.
State and address all of the assumptions required for the
t-test.
Use boxplots to illustrate your data, and describe how they relate
to your results.
Do criminals who plead guilty get more lenient treatment than those
that plead not guilty? As much as possible, relate your comments to
specific results.
In: Math
The Federal Drug Administration wishes to determine whether the claims that Vitamin C prevents colds has any truth. In a clinical drug trial, 30 subjects were randomly assigned to either the Vitamin C group (receiving a daily supplement of the minimum daily requirement) or the placebo group (who received no supplement but did get a placebo pill). The number of self- reported colds is recorded after three years. Number of colds in 3 years: Vitamin C group: 3, 8, 6, 7, 4, 9, 2, 5, 7, 11, 10, 8, 7, 6, 7 Placebo group: 8, 8, 7, 10, 11, 4, 3, 7, 6, 8, 4, 10, 6, 8,5 The value of the numerator (either + or -) in the t test formula for Problem 3 is _____. Then what is the degrees of freedom and what is the derived t value ? Also, what can be concluded from the statistical analysis and what significance level should be reported?
(I want to compare my answers to yours, because I have different answers than what was given to me earlier on this site, and I don;t understand why...thank you.)
In: Math
In a town, 36% of the citizens contributed to the Republicans, 46% contributed to the Democrats, and 12% contributed to both. What percentage contributed to neither party?
A box contains 4 white, 3 red, and 3 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)
Suppose that 90% of drivers are "careful" and 10% are
"reckless." Suppose further that a careful driver has a 0.2
probability of being in an accident in a given year, while for a
reckless driver the probability is 0.3. What is the probability
that a randomly selected driver will have an accident within a
year? (Enter your answer to two decimal places.)
In: Math
Companies X, Y and Z all manufacture a specific component required to make a touch screen tablet. Of these three companies, X shipped 1024 components, Y shipped 512 and Z shipped 256. The percentage of defective components produces by each company is 4%, 5% and 14% for X, Y and Z, respectively. What is the probability that a given defective component came from Company Y?
Please enter your answer as a decimal with 3 significant digits, e.g., .250 or 0.250.
In: Math
Discuss the advantages and disadvantages of using R to analyze data compared to a spreadsheet tool such as Microsoft Excel or Tableau. Provide specific examples to illustrate your ideas.
In: Math
Sample of Size 5 |
|||||
108108 |
110110 |
9999 |
9595 |
109109 |
Sample of Size 12 |
|||||
108108 |
110110 |
9999 |
9595 |
109109 |
9292 |
118118 |
111111 |
106106 |
9999 |
9191 |
101101 |
Sample of Size 30 |
|||||
108108 |
110110 |
9999 |
9595 |
109109 |
9292 |
118118 |
111111 |
106106 |
9999 |
9191 |
101101 |
9797 |
9393 |
103103 |
9494 |
9696 |
117117 |
9494 |
9696 |
106106 |
107107 |
9191 |
106106 |
101101 |
119119 |
105105 |
118118 |
107107 |
107107 |
1. What is the median of the sample of size 30?
2.For each data set recalculate the mean and median, assuming that the individual whose IQ is 108, and108 is accidently recorded as 180. What is the median of the new sample of size 30?
In: Math
1. A grocery store counts the number of customers who arrive during an hour. The average over a year is 29 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals. Find the probability that at least two customers arrive in a particular 2 minute period.
2. Label each as one of the following
Exponential
Poisson
Binomial
Uniform
In: Math