The Company borrowed $206,116  at 7.89 % to be repaid quarterly over 30 years. They just remitted payment number 74. How much interest did the bank receive in year 3?

The Company borrowed $266,779 at 8.51 % to be repaid quarterly over 30 years. They just remitted payment number 74. How much interest did the bank receive in year 3

You are interested in finding a 98% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 14 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.

19 27 27 20 17 6 23 25 7 24 20 25 18 24

a. To compute the confidence interval use a distribution.

b. With 98% confidence the population mean number of visits per physical therapy patient is between BLANK and BLANK visits.

c. If many groups of 14 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About BLANK percent of these confidence intervals will contain the true population mean number of visits per patient and about BLANK percent will not contain the true population mean number of visits per patient.

Data Set Preparation

1. Using the “Toyota Corolla” data set on D2L (Content à “JMP” à “JMP Data Sets” folder), we will be interested in analyzing the “Price” of a car as the dependent variable (Y). Please select one independent variable (X) you think may help explain Price, from the following three: “Age”, “Mileage”, or “Weight” of a car. In the space below, state your choice and explain why you chose it.

2. Randomly select a subset (sample) of 100 observations from the data file using the commands: Tables → Subset → Random - sample size: → (select 100 observations). After doing so, please use the newly created data window (your randomly selected subset), and move on to the Data Exploration section below.

Data Exploration

3. Explore the dependent variable (Price) and independent variable visually, by creating histograms for each one. Paste them below. Under each histogram, note the mean, say whether the data is skewed, and note if there are any outliers.

4. Write down the 95% confidence interval for the mean, for both the dependent and independent variable.

5. For the Price variable, test the hypothesis of µ being different than 11,500 at the 5% level of significance:

(a) State your null and alternative hypotheses.

(b) Find the relevant p-value and write it down.

(c) What do you conclude, based on your findings?

6. Using Analyze à Fit Y by X, create a scatterplot between Price (Y) and the independent variable (X) you chose. Paste it below, and comment on the following 4 concepts: direction, shape, strength of relationship, and whether there are any outliers.

7. Using Analyze à Fit Y by X, find what the correlation is between the two variables and write it down. Then, comment on the strength of the relationship.

Simple Linear Regression Modeling

8. Fit the regression model:

(a) Run the regression of X (independent variable) on Y (Price), and plot the regression line over the data. Paste your output below.

(b) Identify the results of the hypothesis test (p-value) on the regression slope coefficient. What do you conclude?

(c) Write down the regression equation, by hand.

(d) Make a prediction for Y (Price), by using one of the relevant bullets below:

If your X variable for the project is Age, use 15 for X

If your X variable for the project is Mileage, use 25,000 for X

If your X variable for the project is Weight, use 1,200 for X

Problem 4S-1

Consider the following system:

→ 0.74 → 0.74 →

Determine the probability that the system will operate under each of these conditions:

a. The system as shown. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)

Probability              

b. Each system component has a backup with a probability of .74 and a switch that is 100% percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)

Probability            

c. Backups with .74 probability and a switch that is 99 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)

Probability            

can someone explain why this is wrong: The proportion of middle-aged males and middle-aged females who have committed suicide in 1999 are even and equal (P1=P2). and can you include the Confidence interval, Critical Z, and P-Value?

Middle age= 45-64

In C# The Saffir-Simpson Hurricane Scale classifies hurricanes into five categories numbered 1 through 5. Write an application named Hurricane that outputs a hurricane’s category based on the user’s input of the wind speed. Category 5 hurricanes have sustained winds of at least 157 miles per hour. The minimum sustained wind speeds for categories 4 through 1 are 130, 111, 96, and 74 miles per hour, respectively. Any storm with winds of less than 74 miles per hour is not a hurricane. If a storm falls into one of the hurricane categories, output This is a category # hurricane, with # replaced by the category number. If a storm is not a hurricane, output This is not a hurricane.

1.Which phrase best describes heat?

A.the energy that an object has as a result of its temperature

B.the average translational kinetic energy of the particles in an object

C.the energy transferred between objects at different temperatures

D.the total amount of energy possessed by the particles in an object

2.In an isolated system, two copper bars at different temperatures transfer energy until both are at the same temperature. How would the transfer of energy be different if the bars were in an open system?

A.Energy transfer would occur only between the copper bars.

B.Energy transfer would occur between the copper bars and the surroundings.

C.No energy transfer would occur between the copper bars or the surroundings.

D.Energy transfer would occur only with the surroundings.

3.What happens when carbon dioxide at 74°C is placed in thermal contact with water at 14°C? CHOOSE ALL THAT APPLY

Energy leaves the carbon dioxide and enters the water.

The water gets hotter than the carbon dioxide.

The temperatures of the two substances equalize.

Both the water and the carbon dioxide decrease in temperature.

The water stays colder than the carbon dioxide.

4.What is the mass of a titanium alloy that has a heat of fusion of 422.5 joules/gram and requires 2,960 joules of energy to melt completely?

Use the formula Q = mH_f.

A.0.143 g

B.1.43 g

C.7.01 g

D.7.81 g

Assume that the 129 patients in the Patients dataset (Excel) represent the entire population of interest. If you were interested in age of the patients and took a sample of 25 patients from this population, what is the standard error of the mean?   What if you took a sample 64 patients from this population, what is the standard error of the mean? What happens to the standard error of the mean as the sample size increases? Why does that make logical sense?

Mean 75

1. A dataset was randomly from a 4-component uniform mixture and it is below.   Are the group different at the 10% significance level?  X is the outcome variable (which are the numbers under every group).

2. Is there an appropriate alternative statistical analysis method to answer question 1?  Justify.  If yes, perform the alternative analyses

I have done the ANOVA test for the first question but I do not know about the second question. Please answer both questions so I can make sure it is right! thank you!