Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean μ = 44 and standard deviation σ = 14. Find the following probabilities. (Round your answers to four decimal places.)

(a) x is less than 60


(b) x is greater than 16


(c) x is between 16 and 60


(d) x is more than 60 (This may indicate an infection, anemia, or another type of illness.)

Let n1equals100​, Upper X 1equals50​, n2equals100​, and Upper X 2equals30. Complete parts​ (a) and​ (b) below. a. At the 0.01 level of​ significance, is there evidence of a significant difference between the two population​ proportions?

a) Calculate the test​ statistic, Upper Z Subscript STAT​, based on the difference p1minusp2. The test​ statistic, Upper Z Subscript STAT.

b) While either a standardized normal distribution table or technology may be used to calculate the​ p-value, for this​ exercise, use technology. Identify the value of the​ p-value from your technology​ output.

c. Construct a 95​% confidence interval estimate of the difference between the two population proportions.

Q6. You are the assistant director of political research for the NBC television network, and two candidates Jeffrey Temple and Rotenberg Marvel, are running for president of the United States. You need to furnish a prediction of the percentage of the vote going to Marin, assuming the election was held today, for tomorrow’s evening newscast. You want to be 93% confident in your prediction and desire a total precision of ±4 percentage points.

a) Assume that you have no reliable information concerning the percentage of the population that prefers Marvel. What sample size will you use for the project? Hint: in this case, you should be conservative assuming the maximum degree of heterogeneity in the population so as to have a sample that is larger than it is necessary.

b) Assume that a similar poll, taken thirty days ago, revealed that 43 percent of the respondents would vote for Marvel. Taking this information into account, what sample size will you use for the project?

Q4. To determine the effectiveness of the advertising campaign for a new digital video recorder, management would like to know what proportion of the households is aware of the brand. The advertising agency thinks that this figure is close to .55. The management would like to have a margin of error of ±.025 at the 99% confidence level.

a) What sample size should be used?

b) A sample of the size calculated in a) has been taken. The management found the sample proportion to be .575. Construct a 99% CI for the true proportion.

c) If someone insists that the true proportion is .59. Based your answer to b), would you agree or disagree with this person? Why agree or why not agree?

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.

It is estimated that 3.5% of the general population will live past their 90th birthday. In a graduating class of 741 high school seniors, find the following probabilities. (Round your answers to four decimal places.)

(a) 15 or more will live beyond their 90th birthday


(b) 30 or more will live beyond their 90th birthday


(c) between 25 and 35 will live beyond their 90th birthday


(d) more than 40 will live beyond their 90th birthday

Give and interpret the 95% confidence intervals for males and a second 95% confidence interval for females on the SLEEP variable. Which is wider and why?

Known values for Male and Female:

Males: Sample Size = 17; Sample Mean = 7.765; Standard Deviation = 1.855

Females: Sample Size = 18; Sample Mean = 7.667; Standard Deviation = 1.879

Using t-distribution considering sample sizes (Male/Female count) are less than 30

Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines on domestic, nonstop flights. To determine if Airline and Status are dependent, what are the appropriate hypotheses?

A)H_O: Airline and Status are independent of each other.
H_A: Airline and Status display a positive correlation.

B)Two of the other options are both correct.

C)H_O: Airline and Status are independent of each other.
H_A: Airline and Status are dependent on one another.

D)H_O: Airline and Status are not related to each other.
H_A: Airline and Status display a negative correlation.

E)H_O: Airline and Status are related to one another.
H_A: Airline and Status are independent of one another.

2.A political poll asked potential voters if they felt the economy was going to get worse, stay the same, or get better during the next 12 months. The party affiliations of the respondents were also noted. To determine if Party Affiliation and Response are dependent, what are the appropriate hypotheses?

A)There is not enough information to choose the correct set of hypotheses.

B)H_O: Party Affiliation and Response are not related to one another.
H_A: Party Affiliation and Response display a negative correlation.

C)H_O: Party Affiliation and Response are independent of each other.
H_A: Party Affiliation and Response display a positive correlation.

D)H_O: Party Affiliation and Response are not related to each other.
H_A: Party Affiliation and Response are dependent on each other.

E)H_O: Party Affiliation and Response are associated with one another.
H_A: Party Affiliation and Response are not related to each other

3. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the dataset below and interpret what that means.

A)The correlation is -0.774 . There is a strong negative linear association between Exam 1 and Exam 2

B) The correlation is -0.774 . There is a weak negative linear association between Exam 1 and Exam 2 .

C)The correlation is 0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

D)The correlation is -0.774 . There is a strong positive linear association between Exam 1 and Exam 2 .

E)The correlation is 0.774 . There is a strong negative linear association between Exam 1 and Exam 2 .

4. Consider the first and second exam scores of the 10 students listed below. Calculate the Pearson's correlation coefficient for the dataset below and interpret what that means.

A)The correlation is 0.147 . There is a weak negative linear association between Exam 1 and Exam 2 .

B)The correlation is -0.147 . There is a weak positive linear association between Exam 1 and Exam 2

C)The correlation is 0.147 . There is a strong positive linear association between Exam 1 and Exam 2

D)The correlation is -0.147 . There is a weak negative linear association between Exam 1 and Exam 2

E)

The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of woman receiving prenatal care ("Pregnant woman receiving," 2013). The data for the countries where this information are available for the year 2011 is in table #10.1.8. Create a scatter plot of the data and find a regression equation between percentage spent on health expenditure and the percentage of woman receiving prenatal care. Then use the regression equation to find the percent of woman receiving prenatal care for a country that spends 5.0% of GDP on health expenditure and for a country that spends 12.0% of GDP. Which prenatal care percentage that you calculated do you think is closer to the true percentage? Why?

Table #10.1.8: Data of Heath Expenditure versus Prenatal Care

If a random variable has a uniform distribution over the range 10 ≤X≤ 20, what is the probability that the random variable takes a value in the range [13.75, 17.25]?

Hello, I have been trying to answer this question for the last hour and I am still struggling could someone help me? The deadline is in 1hour!

Perform an analysis of variance on the following data set. Do this by answering the questions below.

Link to spreadsheet.

1. What is SST?

2. What is the test statistic from ANOVA?

3. What is the p-value from ANOVA?

4. Consider the null hypothesis that there are no differences between the means of the three populations from which the three columns were sampled. Should this hypothesis be rejected at the 5% level?

According to the Centers for Disease Control, the mean number of cigarettes smoked per day by individuals who are daily smokers is 18.1. A researcher claims that retired adults smoke less than the general population of daily smokers. To test this claim, she obtains a random sample of 25 retired adults who are current smokers, and records the number of cigarettes smoked on a randomly selected day. The data result in a sample mean of 16.8 cigarettes and a standard deviation of 4.8 cigarettes. Do the data support the claim that retired adults who are daily smokers smoke less than the general population of daily smokers? Conduct a hypothesis test at α = 0.10. Assume the population is normally distributed. Hint: σ is unknown, and this is a one-tailed test. (5 points) State the hypotheses 〖 H〗_0: H_1: b. Compute test statistic (Round to the nearest 100th) c. Find critical value (Round to the nearest 100th) d. State decision rule: e. State your conclusion. First, state either “Reject the null hypothesis” or “Fail to reject it.” Then, interpret your conclusion:

A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 120 people living in Gastown and finds that 21 have an annual income that is below the poverty line.

Part i) The proportion of the 120 people who are living below the poverty line, 21/120, is a:

A. variable of interest.
B. parameter.
C. statistic.

Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line.

(Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places).

95% confidence interval = ( , )

(a) Find the margin of error for the given values of​ c, σ​, and n. c = 0.90​, σ = 3.8​, n = 100

E= _ (Round to three decimal places as​ needed.)

(b) Construct the confidence interval for the population mean μ.

c = 0.90 ​, x=9.1​, σ = 0.3 ​, and n = 47

A 90​% confidence interval for μ is _, _ (Round to two decimal places as​ needed.)

(c)  Construct the confidence interval for the population mean μ.

c=0.95 , x=16.2, σ =2.0, and n =35

A 95​% confidence interval for μ is _, _ (Round to two decimal places as​ needed.)

A

• A real estate agency wants to compare the appraised values of single-family homes in two Black Hawks County communities. A random sample of 60 listings in Cedar Falls and 95 listings in Waterloo yields the following results (in thousands of dollars):

• What is the 95% margin of error when estimating the mean appraised value of all single-family homes for Waterloo? _____

• A 95% confidence interval for the difference in mean appraised value of all single-family homes between Cedar Falls and Waterloo is ___________________

• A 99% confidence interval for the mean appraised value of all single-family homes for Cedar Falls is _______________