It is fairly common for people to put on weight when they quit smoking. While a small weight gain is normal, excessive weight gain can create new health concerns that erode the benefits of not smoking. The accompanying table shows a portion of the weight data for 50 women before quitting and six months after quitting.

Let the difference be defined as After Quitting – Before Quitting.

a. Construct and interpret the 95% confidence interval for the mean gain in weight. (Round your answers to 2 decimal places.)

b. Use the confidence interval to determine if the mean gain in weight differs from 5 pounds.

1)A realtor has been told that 46 % of homeowners in a city prefer to have a finished basement. She surveys a group of 200 homeowners randomly chosen from her client list. Find the standard deviation of the proportion of homeowners in this sample who prefer a finished basement.

a) 0.46% b) 46% c) 3.5% d)0.5% e)1.8%

2)the number of games won by a minor league baseball team and the average attendance at their home game is analyzed. A regression analysis to predict the average attendance from the number of games won gives the model attendance = -2800 +197 wins. Predict the average attendance of a team with 55 wins.

a) 10,835 b)-2548 c)13,635 d)14 e)8,035

3)In a large class, the professor has each person toss a coin several times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. Use the 68-95-99.7 Rule to provide the appropriate response. If the students toss the coin 80 times each, about 95% should have proportions between what two numbers?

4)The average composite ACT score for Ohio students who took the test in 2003 was 21.4. Assume that the standard deviation is 1.05. In a random sample of 64 students who took the exam in 2003, what is the probability that the average composite ACT score is 22.5 or more? Make sure to identify the sampling distribution you use and check all necessary conditions.

A particular Land Trust Organization is collecting information about the use of land in a particular county and whether it is conserved for environmental purposes and the degree of that conservation.   GAP status codes classify areas into highly protected, moderately protected (conserved but mainly used for other purposes), and unprotected. From the last survey, we know that 67% of the county is unprotected and 18% is highly protected. From the highly protected areas, 88% is forest and the rest is equally divided between urban use and agriculture use. Most of the unprotected land is used for urban purposes--85%. Twelve percent of what is moderately protected is forest. The rest of the moderately protected land is equally used for agriculture and urban purposes. We also know that the total amount of land used for agriculture in the county is 14%. Use four decimal places in the chart for this problem.  

4. Given that the parcel is somehow protected (either highly protected or moderately), what is the probability that this parcel is used for agriculture or is an urban area?

can you explain 5d and 5e, thank you, I will leave a good rating!

5d. In a comparative study of two new drugs, A and B, 300 patients were treated with drug A, and 275 patients were treated with drug B. (The two treatment groups were randomly and independently chosen.) It was found that 222 patients were cured using drug A and 217 patients were cured using drug B. Let p1 be the proportion of the population of all patients who are cured using drug A, and let p2 be the proportion of the population of all patients who are cured using drug B. Find a 90% confidence interval for −p1p2. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places.

5e. One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, μ, among the general population on this subsection. The website reports that μ is 148, but you believe that μ differs from 148. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 143 and that the standard deviation of their scores is 22.

Based on this information, answer the questions below.

The city police chief wants to know the perceptions African-Americans have of the police force in his city. In comparison to white perception in the community, this information will tell the police chief if he has a community relations problem with the African American community that needs to be addressed. A survey reveals the following information. What would you tell the police chief given these results:

X ~ N(70, 14). Suppose that you form random samples of 25 from this distribution. Let X bar be the random variable of averages. Let ΣX be the random variable of sums. Find the 40th percentile

In a study of 798 randomly selected medical malpractice​ lawsuits, it was found that 476 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. What is the correct hypothesis to be tested? What is the test​ statistic? ​(Round to two decimal places as​ needed.) What is the​ P-value? What is the conclusion about the null​ hypothesis? What is the final​ conclusion?

A Washington resident was curious whether the color of roofing materials had any association with snow accumulation in Washington. One day after a surprising October snowfall, they went to the top of the Capitol Building and examined the 500 visible distinct roofs with a pair of binoculars, and found 340 dark colored roofs and 160 light colored roofs. Of the dark colored roofs, 80 still had visible snow accumulation, while 70 of the light colored roofs still had visible snow.

(a) Perform a hypothesis test at the 5% level of significance to determine if there is evidence of a difference in the proportion of roofs with visible snow accumulation between dark colored roofs and light colored roofs. (Be sure to state your hypotheses and show your computations.)

(b) Create a 95% confidence interval for the difference in proportion of dark and light roofs with snow accumulation.

(c) State one reason why the resident’s observations may not be independent.

4. Is OLS estimator unbiased when we use time series data? Why or why not? Are standard errors still valid if there is serial correlation? Why or why not?

Determine the sample size necessary to estimate p for the following information. a. E = 0.01, p is approximately 0.60, and confidence level is 96% b. E is to be within 0.04, p is unknown, and confidence level is 95% c. E is to be within 5%, p is approximately 54%, and confidence level is 90% d. E is to be no more than 0.01, p is unknown, and confidence level is 99%

The traffic control system inside Riyadh city is not meeting the expectations of the city traffic police. The system is to be updated within a few weeks to incorporate the traffic intensity, the weather conditions and the VIP movements etc. The entire project is to be completed within 10 weeks as per the following schedule:

At the end of Week 7 of the project you have completed only first six tasks (i.e. you just finished, TID-21 i.e. Data Model Development) with a total of SAR 67,500 spent to date. The Interior Minister asks you to produce a report on the status of project work with the help of earned value method. In particular you are asked to include answers to the following questions in your report:

1. What is the cost variance (CV), cost performance index (CPI), schedule variance (SV) and schedule performance index (SPI) for the project so far?
2. How is the project doing? Is it ahead of schedule or behind schedule? Is it under budget or over budget?
3. Use the CPI to calculate the estimate at completion (EAC) for this project. Is the project performing better or worse than planned?
4. Use the SPI to estimate how long it will take to finish this project.

Use the earned value management (EVM) in the given scenario answering each of the abovementioned question separately.

thank you for time and effort

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard deviation 1 inches.

(a) What is the probability that an 18-year-old man selected at random is between 69 and 71 inches tall? (Round your answer to four decimal places.)


(b) If a random sample of seven 18-year-old men is selected, what is the probability that the mean height x is between 69 and 71 inches? (Round your answer to four decimal places.)


(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

-The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

-The probability in part (b) is much higher because the standard deviation is larger for the x distribution.

-The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

-The probability in part (b) is much higher because the mean is smaller for the x distribution.

-The probability in part (b) is much higher because the mean is larger for the x distribution.

Scenario 2: In a city of 100,000 people, there were last year 1000 deaths and 1500 live births (none were multiple births), of which 1200 infants survived to see their first birthday. Three mothers died in childbirth. Using the Week 3 PowerPoint for definitions, calculate the answers to the questions below. (http://adph.org/healthstats/assets/Formulas.pdf )

A poll conducted by GfK Roper Public Affairs and Corporate Communications asked a sample of 1007 adults in the United States, "As a child, did you ever believe in Santa Claus, or not?" Of those surveyed, 84% said they had believed as a child. Consider the sample as an SRS. We want to estimate the proportion p of all adults in the United States who would answer that they had believed to the question "As a child, did you ever believe in Santa Claus, or not?"

(a) Find a 90% confidence interval (±±0.0001) for p based on this sample.

The 90% confidence interval is from __ to ___

b) Find the margin of error (±±0.0001) for 90%.

The margin error is ___

(c) Suppose we had an SRS of just 100 adults in the United States.

What would be the confidence interval (±±) for 95% confidence?

The 50 % confidence interval (+) is from __ to __

(d) How does decreasing the sample size change the confidence interval when the confidence level remains the same?

a. Decreasing the sample size creates a wider interval

b.Decreasing the sample size creates a less wide interval.