Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United States. Use $10,348 as the population mean and suppose a survey research firm will take a sample of 100 people to investigate the nature of their health expenditures. Assume the population standard deviation is $2,500.

What is the probability the sample mean will be within ±$150 of the population mean? (Round your answer to four decimal places.)

The results of a​ two-way ANOVA using the accompanying data and hypothesis tests for interaction between Factor A and Factor B and for each factor are provided below. Using these data and​ results, determine which means are different using α= 0.01when warranted.

Are the means for Factor​ A, Level 1 and Factor​ A, Level 2 significantly​ different?

A.Yes

B. No

C.The comparison is unwarranted because there is insufficient evidence to conclude that not all Factor A means are equal.

D.The comparison is unwarranted because Factor A and Factor B interact.

Are the means for Factor​ A, Level 1 and Factor​ A, Level 3 significantly​ different?

A.Yes

B. No

C.The comparison is unwarranted because there is insufficient evidence to conclude that not all Factor A means are equal.

D.The comparison is unwarranted because Factor A and Factor B interact.

Are the means for Factor​ A, Level 2 and Factor​ A, Level 3 significantly​ different?

A.Yes

B.No

C.The comparison is unwarranted because there is insufficient evidence to conclude that not all Factor A means are equal.

D.The comparison is unwarranted because Factor A and Factor B interact.

Are the means for Factor​ B, Level 1 and Factor​ B, Level 2 significantly​ different?

A.Yes

B.No

C.The comparison is unwarranted because there is insufficient evidence to conclude that not all Factor B means are equal.

D.The comparison is unwarranted because Factor A and Factor B interact.

Are the means for Factor​ B, Level 1 and Factor​ B, Level 3 significantly​ different?

A.No

B.Yes

C.The comparison is unwarranted because there is insufficient evidence to conclude that not all Factor B means are equal.

D.The comparison is unwarranted because Factor A and Factor B interact.

Are the means for Factor​ B, Level 2 and Factor​ B, Level 3 significantly​ different?

A.No

B.Yes

C.The comparison is unwarranted because there is insufficient evidence to conclude that not all Factor B means are equal.

D.The comparison is unwarranted because Factor A and Factor B interact.

The survival times in days of 72 guinea pigs after they were injected with infectious bacteria in a medical experiment is displayed in the table.

To access the complete data set, click the link for your preferred software format:

Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV CrunchIt!

(a) Use the software of your choice to graph the distribution and describe its main features. Select the best description from the given choices.

The distribution is strongly left‑skewed, with the center around 100 days and a range from about 0 days to about 600 days.

The distribution is strongly right‑skewed, with the center around 100 days and a range from about 0 days to about 600 days.

The distribution is bimodal, with the center around 100 days and a range from about 0 days to about 600 days.

The distribution is Normal, with the center around 300 days and a range from about 0 days to about 600 days.

(b) Use the software of your choice to calculate the five‑number summary for these data. (Enter your answers rounded to one decimal place.)

Min=

days

?1=

days

Median=

days

?3=

days

Max=

days

Calculate the mean for these data. (Enter your answer rounded to one decimal place.)

mean=

days

Summarize your findings. Choose the best statement.

The median is closer to ?1 than to ?3

The mean and the median are almost equal.

The median is closer to ?3 than to ?1

The mean is closer to ?1 than to ?3

1. Assume that a researcher is interested in finding out the relationship between standardized test scores and household income. Seven participants have been randomly selected and their ACT Composite score and household income are reported. By performing a test, can you conclude that there is a significant relationship between household income and ACT Composite score? State your null and alternative hypotheses. Please show all of the required steps. Use the data in the table below. Assume α = .05 (20 points)

The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

1. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

2. Estimate the selling price of an 7-year-old car (in $000). (Round your answer to 3 decimal places.)

3. Interpret the regression equation (in dollars). (Round your answer to the nearest dollar amount.)

(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.

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

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

(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..

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.

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?

Analysis Paper on : The impact of family structure on the health of children: Effects of divorce.

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.)

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.