A 95% confidence interval for p is given as (0.43,0.77). How large was the sample used to construct this​ interval? (n)

A medical researcher wants to begin a clinical trial that involves systolic blood pressure (SBP) and cadmium (Cd) levels. However, before starting the study, the researcher wants to confirm that higher SBP is associated with higher Cd levels. Below are the SBP and Cd measurements for a sample a participants. What can the researcher conclude with an α of 0.05?

a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected above:  

b) 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.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
effect size =  ;   ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

A.There was a significant positive relationship between systolic blood pressure and cadmium levels.

B.There was a significant negative relationship between systolic blood pressure and cadmium levels.

C. There was no significant relationship between systolic blood pressure and cadmium levels.

An airline analyzed whether telephone callers to their reservations office would remain on hold longer if they heard (a) an advertisement from the airline or (b) classical music. For 10 callers randomly assigned to these two conditions, the table shows the data.

Question 5:

Choose the correct alternate hypothesis for this test.

a. Ha: The distributions for classical music and advertisements are shifted from each other.

b. Ha: The distribution for classical music is shifted to the left of the distribution for advertisements.

c. Ha: The distribution for classical music is shifted to the right of the distribution for advertisements.

d. Ha: The distributions for classical music and advertisements are the same.

Question 6:

Provide the correct test statistic. Round answer to two decimal places.

Question 7:

Choose the correct p-value.

a. <0.0001

b. 0.0475

c. 0.0029

d. 0.0225

Question 8:

What conclusions can be drawn from this hypothesis test? α = 0.05

a. Fail to reject Ho. Conclude that there is insufficient evidence to claim that the two distributions are not identical.

b. Reject Ho. Conclude that there is sufficient evidence to claim that the distributions are shifted from each other.

c. Reject Ho. Conclude that there is sufficient evidence to claim that the distributions are not identical, and that people wait longer on the phone while listening to airline advertisements rather than classical music.

d. Reject Ho. Conclude that there is sufficient evidence to claim that the distributions are not identical, and that people wait longer on the phone while listening to classical music rather than airline advertisements.

Please completely answer the below Biostatistic question.

Hurricanes Rita and Katrina caused flooding of large parts of New Orleans, leaving behind large amounts of new sediment. Before the hurricanes, the soils of New Oleans were known to have high concentrations of lead, a dangerous toxin capable of creating potential health hazard. Zaharan et al. (2010) were interested in the human health impacts of the flood and so measured lead concentrations of blood (in ug/dl) of children who lived in 46 different affected areas both before and after the floods. Complete the responses for the following R outputs.

R Output

data: lead$bloodLeadAfter and lead$bloodLeadBefore

t = -8.031, df = 45, p-value = 3.107e-10

alternative hypothesis: truedifference in means is not equal to 0

95% confidence interval: -2.411851 -1.444671

sample estimates: mean of the differences = -1.928261

a.) Name the sampling unit and sample size

b.) Name the variable(s) and associated scale(s)

c.) Name the design (one-sample t-test, two-sample t-test, paired t-test)

d.) Is this an appropriate design, given the narrative above? Why or why not?

e.) Name the population parameter of interest, using specific descriptors from the narrative (hint: write what are we estimating in specific terms)

f.) Use the output to write the null hypothesis for the associated t-test (be sure to state it in terms of the population parameter of interest)

g.) Use the confidence interval from the output to write a statement about the set of plausible values for the parameter estimate, and to evaluate the plausibility of the null hypothesis.

h.) Use the null hypothesis to write a statement interpreting the p-value from the output. (Do not use more or less than 0.05.as reasoning)

A)Test the significance of the population correlation coefficient r (t-test using        α = 5%)

B)Test the significance of the population regression coefficient b₁ (t-test using        α = 5%)

C)Interpret the Coefficient of Determination as measure of the goodness of the fit (R²). Data sets are below and Thanks!

Problem 31. Calculate the expected value and variance of X for each of the following scenarios.

1. X = {0, 1} where each has equal probability. (A coin flip)

2. X = {1, 2, 3, 4, 5, 6} where each has equal probability. (A die roll)

3. X = {0, 1} with f(0) = 1/3 and f(1) = 2/3.

4. X = B(3, 0.35). (Use info from Problem 26.)(Problem 26. Let X = B(3, 0.35). Calculate each f(k) and the sum X 3 k=0 f(k).)

Problem 32. Calculate the expected value and variance of X = B(3, 0.35) by using Theorem 41. Compare the results to part 4 of Problem 31.

Problem 33. Let (X, f) be a CPD. Show that P(X = x) = 0 for any x ∈ X.

Problem 34. Consider f : R → R defined by f(x) = 1 1 + x 2 . Explain why f is not a PDF, and find a constant c so that cf is a PDF.

Problem 35. Let F be a CDF for a CPD (X, f). Find lim x→−∞ F(x) and limx→∞ F(x).

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 42 who smoke.

Step 2 of 2:

Suppose a sample of 897 Americans over 42 is drawn. Of these people, 637 don't smoke. Using the data, construct the 95%confidence interval for the population proportion of Americans over 42 who smoke. Round your answers to three decimal places.

You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 1 5 11 16 26 36 y 39 47 73 100 150 200 Complete parts (a) through (e), given Σx = 95, Σy = 609, Σx2 = 2375, Σy2 = 81,559, Σx y = 13,777, and r ≈ 0.997.

(a) Make a scatter diagram of the data. (Select the correct graph.) A scatter diagram with 6 points is graphed on the x y coordinate plane.

The points are located at (1, 39), (5, 47), (11, 73), (16, 100), (26, 150), (36, 200). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane.

The points are located at (1, 29), (5, 37), (11, 63), (16, 90), (26, 140), (36, 190). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane.

The points are located at (3, 29), (7, 37), (13, 63), (18, 90), (28, 140), (38, 190). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane.

The points are located at (3, 39), (7, 47), (13, 73), (18, 100), (28, 150), (38, 200). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σx y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σx y = r =

(c) Find x bar, and y bar. Then find the equation of the least-squares line y hat = a + b x. (For each answer, enter a number. Round your answers for x bar and y bar to two decimal places. Round your answers for a and b to three decimal places.) x bar = x bar = y bar = y bar = y hat = value of a coefficient + value of b coefficient x

(d) Graph the least-squares line. Be sure to plot the point (x bar, y bar) as a point on the line. (Select the correct graph.) A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 102). The line enters the window at approximately y = 171 on the positive y axis, goes down and right, passes through the approximate point (15.8, 102), and exits the window at approximately x = 39.1 on the positive x axis. A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 132). The line enters the window at approximately y = 201 on the positive y axis, goes down and right, passes through the approximate point (15.8, 132), and exits the window in the first quadrant. A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 132). The line enters the window at approximately y = 56 on the positive y axis, goes up and right, passes through the approximate point (15.8, 132), and exits the window in the first quadrant. A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 102). The line enters the window at approximately y = 26 on the positive y axis, goes up and right, passes through the approximate point (15.8, 102), and exits the window in the first quadrant.

(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (For each answer, enter a number. Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained = % unexplained = %

(f) The calves you want to buy are 20 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.) kg

Create an excel worksheet and populate it, in columns, with values of X that are -2, -1, 0, 1, 2 and values of Y that are -1, 1,1,1,3. As an aside, note that the sample mean of X is 0. Create the columns shown below, and enter the proper formulas into excel.

SupposeSuppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 1 inches.

(a) What is the probability that an 18-year-old man selected at random is between 65 and 67 inches tall? (Round your answer to four decimal places.)


(b) If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 65 and 67 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 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.

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

Use of statistic in the mathematics? Explain in a broad way.

What are some of the predictive technologies used in condition-based maintenance (CBM)? Please name five and describe them briefly.

The state of Virginia has implemented a Standard of Learning (SOL) test that all public school students must pass before they can graduate from high school. A passing grade is 75. Montgomery County High School administrators want to gauge how well their students might do on the SOL test, but they don’t want to take the time to test the whole student population. Instead, they selected 20 students at random and gave them the test. The results are as follows:
83    79    56    93
48    92    37    45
72    71    92    71
66    83    81    80
58    95    67    78

Assume that SOL test scores are normally distributed.

1. Compute the mean and standard deviation for these dat
2. Determine the probability that a student at the high school will pass the test.
3. How many percent of students will receive a score between 75 and 95?
4. What score will put a student in the bottom 15% in SOL score among all students who take the test?
5. What score will put a student in the top 2% in SOL score among all students who take the test?

PLEASE USE EXCEL

THANK YOU