White boxers are dogs that have a genetic disposition for going deaf within the first year after they are born. Suppose a litter of seven white boxer puppies contained three dogs that would eventually experience deafness. A family randomly selected puppies from this litter to take home as family pets. (For this problem, define a success as selecting a dog that will eventually experience deafness.) (Round to three decimal places as needed.)

a. Determine the probability that none of the three puppies selected will experience deafness.

b. Determine the probability that one of the three puppies selected will experience deafness.

c. Determine the probability that all three puppies selected will experience deafness.

(Round to four decimal places as needed.)

d. Calculate the mean and standard deviation of this distribution.

The mean of this distribution is

(Round to three decimal places as needed.)

The standard deviation of this distribution is

(Round to three decimal places as needed.)

1. Does sustained sensory deprivation have any effect on the alpha-wave patterns produced by the brain? To determine this, 10 subjects (inmates in a Canadian prison) were placed in solitary confinement for a week. At the end of the week, alpha-wave frequencies were measured for all subjects and compared to their values before confinement. Assume the population alpha-wave patterns are normally distributed and the inmates were randomly selected. Use a t-critical of 2.262.

1. What are the null and the alternative hypotheses? (.5 pts)
2. Calculate the appropriate test statistic including the formula that you used. (2 pts).
3. State your conclusion. (2 pts)
4. Calculate and interpret the 95% confidence interval for this test. (2 pts)
5. Discuss one potential ethical issue with the design of this study. (1 pt)

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $145.

What is the approximate percentage of buyers who paid between $1000 and $1290? 47.5 Correct%

What is the approximate percentage of buyers who paid between $1000 and $1145? 34 Correct%

What is the approximate percentage of buyers who paid less than $565? -.335 Incorrect%

What is the approximate percentage of buyers who paid less than $710? -2.685 Incorrect%

What is the approximate percentage of buyers who paid between $1000 and $1435? 49.85 Correct%

What is the approximate percentage of buyers who paid between $855 and $1145? 68 Correct%

Let X have a uniform distribution on the interval (7, 13). Find the probability that the sum of 2 independent observations of X is greater than 25.

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 12.9 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 12.9 weeks and that the population standard deviation is 4.8 weeks. Suppose you would like to select a random sample of 99 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is between 12 and 12.6. P(12 < X < 12.6) =

Find the probability that a sample of size n = 99 is randomly selected with a mean between 12 and 12.6. P(12 < M < 12.6) =

A nurse at a health clinic hypothesizes that ear thermometers measure higher body temperatures than oral thermometers. The nurse selects a sample of healthy staff members and took the temperature of each with both thermometers. The temperature data are below. What can the nurse conclude with an α of 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- health clinic ear thermometer body temperature oral thermometer staff members
Condition 2:
---Select--- health clinic ear thermometer body temperature oral thermometer staff members

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

The ear thermometer measured significantly higher temperatures than the oral thermometer.

The ear thermometer measured significantly lower temperatures than the oral thermometer.    

There was no significant temperature difference between the ear and oral thermometer.

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?