A person’s educational attainment and age group was collected by the U.S. Census Bureau in 1984 to see if age group and educational attainment are related. The counts in thousands are in Table 3 ("Education by age," 2013). Do the data show that educational attainment and age are independent? Why or Why not? Test at the 5% level.

1.Are men smarter than women at Private Universities in the United States? A study was conducted, randomly selecting 400 men, and 400 women from different Private Universities across the US, and asking for their GPAs. What is the population of this study?

All students enrolled at Private Universities in the world

All students enrolled at Universities in the US

Female students enrolled at Private Universities in the US

All students enrolled at Private Universities in the US

unanswered

2.Match each of the example experiments to the type of experimental design

A study was conducted to determine if rats gain weight after experiencing different levels of exercise. Researchers used 25 rats, for four different levels of exercise, plus a control group. Rats were randomly assigned to each group until there were five rats per group.

Some people try to counteract the presence of alcohol with caffeine in regards to reaction time. To test this, reaction times were measured when subjects were exposed to one of the two levels of alcohol (no alcohol, or yes alcohol), and one of the three different levels of caffeine ( 25 mg, 50 mg, 75 mg).  

It is thought that different levels of mercury exposure can decrease activeness in mice. Since some mice might not be as active due to their genetics, the litter from which the mice came from was used in the study as well. Each mouse was exposed to a level of mercury independently and at random.     

Select an option A. Factorial Design B. Completely Randomized Design c.Completely Randomized Block Design   

3.Which type of bait catches the largest fish? A study was conducted using 3 different baits (worms, corn, and plastic lures), and the average weight of the fish caught was measured. How many treatments are there?

4.Whcih of the following are true about sample statistics? (Choose all that apply)

Are always known

Are never known

Are usually represented by Greek letters

Are calculated from an entire population

Are calculated from a portion of the population

Mr. Jones’ ninth grade class is studying the influence of temperature on respiration rate in goldfish. Each of his 24 students has a single goldfish isolated in a goldfish bowl half full of de-chlorinated tap water at 15°C. Each student is allowed to add a random amount of either chilled tap water (5°C) or warmed tap water (30°C) very slowly for 5 minutes to gently adjust the temperature of the water in the bowl. The goldfish are allowed an additional 5 minutes of acclimation time after the temperature in the bowl has equilibrated. Then each student records the temperature of the water to the nearest 0.1°C using a digital thermometer and the goldfish respiration rate (the number of times the operculum or gill cover opens) during a 60 second period. The class hypothesis (H₁) is that respiration rate (cycles / min) will increase with increasing temperature (°C).

The independent variable is temperature and is continuous. The dependent variable is respiration rate and is continuous. The observations are paired in the sense that each temperature has only one respiration rate. However, there is a clear expectation from the class hypothesis that the independent variable is causing the change in the dependent variable.

1. Which of the following is the test statistic (observed) for this experiment?

A. SE= -1.564

B. F= 600.36

C. df=22

D. intercept= -1.114

2. Using the relationship you measured between temperature and respiration rate, calculate the expected temperature where respiration rate would equal 0

A. 0.739

B. 1.5072

C. 24

D. 1.84 x 10^-17

USA Today reported that Parkfield, California, is dubbed the world’s earthquake capital because it sits on top of the notorious San Andreas fault. Since 1857, Parkfield has had a major earthquake on average of once every 22 years.

a) Explain why the Poisson distribution would be a good choice for r = the number of earthquakes in a given time interval.

b) Compute the probability of at least one major earthquake in the next 22 years. Round lambda to the nearest hundredth, and use a calculator.

c) Compute the probability that there will be no major earthquake in the next 22 years. Round lambda to the nearest hundredth, and use a calculator.

d) Compute the probability of at least one major earthquake in the next 50 years. Round lambda to the nearest hundredth, and use a calculator.

e) Compute the probability that there will be no major earthquake in the next 50 years. Round lambda to the nearest hundredth, and use a calculator.

Given are five observations for two variables, and . xi2 15 7 22 19 yi50 48 58 11 23 d. Develop the estimated regression equation by computing the values of and using equations: (Enter negative values as negative figure) (to 2 decimals) e. Use the estimated regression equation to predict the value of y when . (to 2 decimals)

A biologist measures the lengths of a random sample 45 mature brown trout in a large lake and finds that the sample a mean weight of 41 pounds. Assume the population standard deviation is 3.7 pounds. Based on this, construct a 99% confidence interval for the mean weight of all mature brown trout in the lake. Round your anwers to two decimal places. < μ

Given a normal distribution with the μ=52 and σ=3​, complete parts​ (a) through​ (d).

a. What is the probability that X>47​?

P(X>47​)=0.9525

​(Round to four decimal places as​ needed.)

b.What is the probability that X<49​?

​P(X<49​)=0.1587

​(Round to four decimal places as​ needed.)

c.For this​ distribution, 5​% of the values are less than what​ X-value?

X =

​(Round to the nearest integer as​ needed.)

d. Between what two​ X-values (symmetrically distributed around the​ mean) are 80​% of the​ values?

Between what two​ X-values (symmetrically distributed around the​ mean) are 85% of the​ values?

Between what two​ X-values (symmetrically distributed around the​ mean) are 90​% of the​ values?

Between what two​ X-values (symmetrically distributed around the​ mean) are 95% of the​ values?

I need help with parts c.) and d.) please!

In a simple random sample of 1000 people age 20 and over in a certain​ country, the proportion with a certain disease was found to be 0.160 ​(or 16.0​%). Complete parts​ (a) through​ (d) below.

A. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with the​ disease?

B. Find the margin of​ error, using a​ 95% confidence​ level, for estimating this proportion.

C. Report the​ 95% confidence interval for the proportion of all people in the country age 20 and over with the disease. m=___

The​ 95% confidence interval for the proportion is (_,_)

D. According to a government​ agency, nationally, 17.1​% of all people in the country age 20 or over have the disease. Does the confidence interval you found in part​ (c) support or refute this​ claim? Explain.

The confidence interval (refutes OR supports) this​ claim, since the value _ (is OR is not) contained within the interval for the proportion.

A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below.

(a) Let p₁, p₂, p₃, and p₄ be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H₀ that p₁, p₂, p₃, and p₄ are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)

χ2χ2 =            

so (Click to select)Do not rejectReject H₀: independence

(b) Compute a 95 percent confidence interval for the difference between p₁ and p₄. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

95% CI: [  , ]

A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey.

What can be concluded at the αα = 0.10 significance level?

What is the correct statistical test to use?

Independence

Paired t-test

Homogeneity

Goodness-of-Fit

What are the null and alternative hypotheses?
H0:H0:

The distribution of sneaker brand is not the same for each religion.

Sneaker brand and religious affiliation are independent.

Sneaker brand and religious affiliation are dependent.

The distribution of sneaker brand is the same for each religion.

H1:H1:

The distribution of sneaker brand is the same for each religion.

The distribution of sneaker brand is not the same for each religion.

Sneaker brand and religious affiliation are dependent.

Sneaker brand and religious affiliation are independent.

The test-statistic for this data =  (Please show your answer to 2 decimal places.)

The p-value for this sample = (Please show your answer to 4 decimal places.)  

The p-value is Select an answer greater than less than (or equal to)  αα  

Based on this, we should

fail to reject the null

reject the null

accept the null

Thus, the final conclusion is...

There is sufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.

There is insufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.

There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

There is sufficient evidence to conclude that sneaker brand and religious affiliation are independent.

There is insufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

2. A standard 52-card deck consists of 4 suits (hearts, diamonds, clubs, and spades). Each suit has 13 cards: 10 are pip cards (numbered 1, or ace, 2 through 10) and 3 are face cards (jack, queen, and king).

You randomly draw a card then place it back. If it is a pip card, you keep the deck as is. If it is a face card, you eliminate all the pip cards. Then, you draw a new card. What is the probability you draw the queen of hearts in the end?

A new battery’s voltage may be acceptable (A) or unaccept- able (U). A certain flashlight requires two batteries, so bat- teries will be independently selected and tested until two acceptable ones have been found. Suppose that 90% of all batteries have acceptable voltages. Let Y denote the number of batteries that must be tested.

a) What is p(2), that is, P(Y 5 2)?

b) What is p(3)? [Hint: There are two different outcomes

that result in Y 5 3.]

c) To have Y 5 5, what must be true of the fifth battery

selected? List the four outcomes for which Y 5 5 and

then determine p(5).

d) Use the pattern in your answers for parts (a)–(c) to obtain

a general formula for p(y)

e) instead of the random variable Y given in the textbook, define a Negative Binomial random variable and do this question. Also, state the mean and standard deviation for this negative binomial random variable and interpret it in the context of the question

(4 pts.) Couples' therapists performed a study to determine factors that would predict divorce. A random sample of 180 committed couples produced a sample mean of the time that they knew each other of 52.28 months. Assume a population standard deviation of 41.40 months. Construct a 95% confidence interval for the mean time that spouses have known each other among all married couples.

Customers enter the camera department of a store at an average rate of five per hour. The department is staffed by one employee, who takes an average of 8.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.)

a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.)

a-2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.)

c. What is the probability that there are more than two people in the camera department (excluding the clerk)?(Do not round intermediate calculations. Round your answer to 1 decimal place.)

d. Another clerk has been hired for the camera department who also takes an average of 8.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1 decimal place.)