The data in the accompanying table represent the population of a certain country every 10 years for the years​ 1900-2000. An ecologist is interested in finding an equation that describes the population of the country over time. Complete parts ​(a) through ​(f) below.

Determine the P-value of this hypothesis test.

P-value = __

c) draw a scatter diagram, treating year as the explanatory variable.

d) plot the residuals against the explanatory variable, year.

e) does a linear model seem appropriate based on the scatter diagram and residual plot?

f) what is the moral?

2. The accompanying data table show the percentage of tax returns filed electronically in a city from 2000 to 2009. Complete the parts below.

Year   Percentage
2000   27
2001   29
2002   35
2003   42
2004   45
2005   49
2006   55
2007   59
2008   61
2009   67

​b) Calculate the MAD for the forecast in part a. ​(Round to two decimal places as​ needed.)

​d) Calculate the MAD for the forecast in part c (Round to two decimal places as​ needed.)

In 2020 the United States will use some $10 trillion of manufactured goods as measured by the price level as it will be in 2020—producing $9 trillion and paying for the extra $1 trillion by exporting services. Let’s use that as our unit of the quantity of manufactures—$1 worth at 2020 prices is equal to one unit of manufactured goods. And let’s set our index of the price of manufactured goods in 2000 equal to 1.

Suppose the supply curve for manufactured goods has constant-returns-to-scale, with no producer having (much of) an opportunity cost advantage over any other.

Suppose the demand curve for manufactured goods is a straight line linear function such that an increase in the price from its 2000 value of 1 to a value of 2 would lead to a reduction in the quantity demanded by $1 trillion.

What will be the equilibrium price of manufactures in 2020?

Draw an activity diagram to represent the Purchasing process described below.

The Purchasing department of a company handles purchase requests from other departments in the company.

Each request is handled by a case worker within the Purchasing department.

The case worker receives a request and monitors it until a purchase order is made or until the request is reported to the manager of the department.

For the purchase of products with the total cost under $2000, the case worker writes a purchase order, and sends it to one of the approved vendors.

For purchase requests over $2000, the case worker must first send them out for bids from several vendors that supply the product. After one week, if there are at least four bids returned, the case worker selects one bid, writes a purchase order, and sends it to the vendor. Otherwise, the case worker reports the request to the manager.

A pumpkin farmer weighed a simple random sample of sizen= 20 pumpkins, with these results:9.6, 8.8, 5.1, 9.7, 9.1, 8.9, 8, 9.2, 2.7, 9.1, 8.5, 7.3, 9.3, 9.6, 4.1, 9.9, 7.6, 9, 7.2, 8.5

1.how to use R to perform the bootstrap with 2000 resamplings to create a90% confidence interval forμ

2.how to know whether the true mean pumpkin weight for this pumpkin farmer’s patchis greater than 7.2. Conduct a bootstrap hypothesis test with 2000 resamplings at a significance levelα= 0.05.

3.how to conduct a hypothesis test at levelα= 0.05 to see whether we can assert the data are strong evidencethe true median weight for this pumpkin farmer’s patch is greater than 7.2.

Draw an activity diagram to represent the Purchasing process described below. The Purchasing department of a company handles purchase requests from other departments in the company. Each request is handled by a case worker within the Purchasing department. The case worker receives a request and monitors it until a purchase order is made or until the request is reported to the manager of the department. For the purchase of products with the total cost under $2000, the case worker writes a purchase order, and sends it to one of the approved vendors. For purchase requests over $2000, the case worker must first send them out for bids from several vendors that supply the product. After one week, if there are at least four bids returned, the case worker selects one bid, writes a purchase order, and sends it to the vendor. Otherwise, the case worker reports the request to the manager.

Please show the detail work

1. How long will an E cylinder last if the flow rate is set at 2, and there is 2000 PSIG on the pressure gauge?

2. What is the total flow for a 24% venture mask set at 5 liters per minute at the flow meter?

3. How long will an H cylinder last if the flow rate is set at 15, and there is 2000 PSIG on the pressure gauge?

4. What is the total flow for a 30% venture mask set at 20 liters per minute at the flow meter?

5. How long will an H cylinder last if the flow rate is set at 10, and there is 1000 PSIG on the pressure gauge?

6. What is the total flow for a 40% venture mask set at 10 liters per minute at the flow meter?

John polled the Russian public about Vladimir Putin's popularity for a very long time before the 2000 election. The proportions in this problem come from their findings; the sample sizes are made up but are consistent with their polling techniques.

1. (a) In May 2000, 478 of 783 Russians surveyed had a “highly favorable” or “somewhat favorable” opinion of Vladimir Putin. Test the hypothesis that less than 64% of Americans had an opinion this high of Vladimir Putin's at a significance level of α = .1.

2. (b) In August 1996, 41% of 635 Russians surveyed had a “highly favorable” opinion of Vladimir Put-on; in August 1997, 33% of 696 did. Test the hypothesis that this opinion was held by at least 5% more of the American public in August 1966 than it was in August 1967 at a significance level of α = .05.