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.)

Two dice are tossed one after the other. What is the conditional probability that the first die is six, given that the sum of the dice is seven?

Your company is considering two products for a new market. The probability distribution for the demand for the two products is presented in the table below. Q(A) and Q(B) are the possible quantities of each product that could be sold. P(A) and P(B) are the probabilities of selling the corresponding quantities.

You have the following additional information: The projected selling price for DESIGN "A" is $60. The fixed cost of its production is$75,000. Its variable cost is $35 a unit. The selling price for DESIGN "B" is $80. Its fixed cost of production is $110,000. Variable cost of production is $48 a unit.

Which project is expected to be more profitable?

The customer expectation when phoning a customer service line is that the average amount of time from completion of dialing until they hear the message indicating the time in queue is equal to 55.0 seconds (less than a minute was the response from customers surveyed, so the standard was established at 10% less than a minute).  

You decide to randomly sample at 20 times from 11:30am until 9:30pm on 2 days to determine what the actual average is.  The actual data was as follows:

54.1, 53.3, 56.1, 55.7, 54.0, 54.1, 54.5, 57.1, 55.2, 53.8,54.1, 54.1, 56.1, 55.0, 55.9, 56.0 ,54.9, 54.3, 53.9, 55.0

What is a 95% confidence interval for the true mean call completion time?

What is the 95% confidence interval on the standard deviation

The customer expectation when phoning a customer service line is that the average amount of time from completion of dialing until they hear the message indicating the time in queue is equal to 55.0 seconds (less than a minute was the response from customers surveyed, so the standard was established at 10% less than a minute).  

You decide to randomly sample at 20 times from 11:30am until 9:30pm on 2 days to determine what the actual average is.  The actual data was as follows:

54.1, 53.3, 56.1, 55.7, 54.0, 54.1, 54.5, 57.1, 55.2, 53.8,54.1, 54.1, 56.1, 55.0, 55.9, 56.0 ,54.9, 54.3, 53.9, 55.0

What is a 95% confidence interval for the true mean call completion time?

What is the 95% confidence interval on the standard deviation

sigmaX=11 sigmaX^2=39 sigmaY=24    sigmaY^2=164 sigmaXY=79

part a:

1.what is the predictor variable?

2. what is the criterion variable?

compute the Pearson correlation.

3. what is the covariance.

4 what is the standard deviation of the predictor variable.

5 what is the standard deviation of the criterion variable.

6 what is the Pearson's r value

7. what is the best interpretation of your Pearson correlation in Q6? A. as hours studied goes up there is a corresponding increase in score on quiz. B. As hours studied goes up there is a corresponding decrease in score on quiz.

8. The strength of the above relationship is considered.    A, weak b. moderate    c. strong.

Part B. compute the regression equation.

9. what is the numeric value for the slope?

10. what is the y-intercept?

11. what is the regression equation?

12. predict the total number of points on the quiz for a person studying 4 hours.