Let X1 and X2 be uniform on the consecutive integers -n, -(n+1), ... , n-1, n. Use convolution to find the mass function for X1 + X2.

Suppose a random sample of size 56 is selected from a population with  = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

The population size is infinite (to 2 decimals).

The population size is N = 50,000 (to 2 decimals).

The population size is N = 5,000 (to 2 decimals).

The population size is N = 500 (to 2 decimals).

what is General Social Survey (GSS), and why is it such an important source of data for understanding American society? Write a brief paragraph that describes the GSS.

The Pew Internet and American Life Project reports that young people ages 12-17 send a mean of 60 text messages per day. A random sample of 40 young people showed a sample mean of 69 texts per day. Assume σ = 28 for the population.

Using a significance level of α = 0.05, test whether the population mean number of text messages per day is greater than 60.

i. What is the null hypothesis?
ii. What is the alternative hypothesis?

iii. Which kind of test is this (left-tail, right-tail, or two-tail)? iv. Find zdata.

v. Find the critical region.
vi. Do we reject the null hypothesis or fail to reject it?

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 21, 14, 13, 24, 17, 22, 25, 12. [You may find it useful to reference the t table.]

a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.)

b. Construct the 90% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)

c. Construct the 95% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)

d. What happens to the margin of error as the confidence level increases from 90% to 95%?

As the confidence level increases, the margin of error becomes larger.
As the confidence level increases, the margin of error becomes smaller.

You are to calculate the mean and standard deviation for the rate of returns for IBM and GE. Use monthly values for the period August 1, 2007 through August 1, 2018

Q10.You are to calculate the mean and standard deviation for the rate of returns for IBM and GE. Use monthly values for the periodAugust 1, 2007 through August 1, 2018. Data can be obtained from the WWW as follows 1.Go to http:www.yahoo.com. Select the Finance option 2.Enter your stock's symbol (IBM and GE) one by one.3.Under the Summary tab select "Historical Data" 4.Enter the dates correctly under the ‘set date range’ for the selected stock.Make sure the time period covered is IBM and GE(August 1, 2007 through August 1, 2018). 5.Select “Historic Prices and select correct frequency (in this case monthly)”. Further,click on “Apply” tab.6.Then just belowApply tab is download the spreadsheet. Download the spreadsheet as an excel file and save it.7.Delete all the columns except“Date” and “Adjusted close” columnsfor all three stocks.Keep only one column of “Date”.8.Make sure the data is in ascending order (by date) (i.e. old date on the top and most recent date on the bottom of the “Date” column).9.Calculate the Rate ofReturns (Xt -Xt-1 ) / Xt-1for all three stocks.

Consider random variables X1, X2, and X3 with binomial distribution, uniform, and normal probability density functions (PDF) respectively. Generate list of 50 random values, between 0 and 50, for these variables and store them with names Data1, Data2, and Data3 respectively.

( To complete successfully this homework on Stochastic Models, you need to use one of the software tools: Excel, SPSS or Mathematica, to answer the following items, and print out your results directly from the software.)

I'm trying to figure out how did they come up with the answer for the Test Value, and P Vaule. With this in formation provided. is there a formula to figuring out this problem.

Parameter and Hypothesis:  What is the true percentage of all my Facebook Friends who would identify summer as their favorite season?  Hypothesis (po) = 50%

Test Value:  -1.15

po=.50

p (p-hat) = .463

n = 242

P-Value:  0.2502

I want to know the process of how to do this myself

What are some of the distinct purposes discriminant analysis is used for in marketing research applications? How might you use DA as a follow-up method after a cluster analysis is run, specifically, if one has a variety of data on consumer responses / opinions, as well as geodemographic data?

9. Use the given information to find the number of degrees of​ freedom, the critical values X2/L​, and X2/R and the confidence interval estimate of σ. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.

Nicotine in menthol cigarettes 90​% ​confidence; n=21​, s=0.25 mg.

Df=_____

​(Type a whole​ number.)

X2/L=_____

Round to three decimal places as​ needed.)

X2/R=____

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

The confidence interval estimate of σ is ____ mg < σ <____mg.

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

10. Listed below are speeds​ (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at​ 3:30 P.M. on a weekday. Use the sample data to construct a 98​% confidence interval estimate of the population standard deviation.

64, 63, 63, 57, 63, 52, 60, 59,60, 70, 59, 67

The confidence interval estimate is ____mi/h < σ <___mi/h

​(Round to one decimal place as​ needed.)

Does the confidence interval describe the standard deviation for all times during the​ week? Choose the correct answer below.

A.Yes. The confidence interval describes the standard deviation for all times during the week.

B.No. The confidence interval is an estimate of the standard deviation of the population of speeds at​ 3:30 on a​ weekday, not other times.

Data Science, I will give thumb up, thank you

What is one critical drawback to the MLR (multiple linear regression model) model (or any MLR model) for predicting shardnado hazard? What are some modifications that could improve on this issue?

sharknado hazard: the hazard of a sharknado, where 1 is very unlikely and 100 is highly likely

1. Using the Data Set, create and calculate the following in Excel^®:

Determine the range of values in which you would expect to find the average weekly sales for the entire sales force in your company 90% of the time, and calculate the following:

A. The impact of increasing the confidence level to 95%

B. The impact of increasing the sample size to 150, assuming the same mean and standard deviation, but allowing the confidence level to remain at 90%

Data Set:

A) A study is conducted to assess the relationship between the use of marijuana during pregnancy and adverse delivery outcomes, defined as major congenital malformations. The following variables are used in the analysis.

Delivery outcome: major congenital malformation versus other delivery.

Risk factors:

1. Marijuana usage during pregnancy: yes or no

2. Race: White or non-white

3. SES categorized as: low, middle, or high

4. Maternal age

5. Any previous stillbirth: yes or no

a) Write down a model to evaluate this relationship including terms in the model for the confounding factors and interactions between marijuana usage and each of the other factors. Be sure to state the coding scheme you are using to represent the variables in the model.

b) Write down the odds ratio corresponding to the model in part (a) for the odds of malformation given marijuana usage relative to the odds of malformation given no usage.

A magazine subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of airline ticket purchased most often was for domestic or international travel. Sample data obtained are shown in the following table.

(a)

Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight?

State the null and alternative hypotheses.

H₀: The type of ticket purchased is not independent of the type of flight.
H_a: The type of ticket purchased is independent of the type of flight.

H₀: The type of ticket purchased is independent of the type of flight.
H_a: The type of ticket purchased is not independent of the type of flight.      

H₀: The type of ticket purchased is not mutually exclusive from the type of flight.
H_a: The type of ticket purchased is mutually exclusive from the type of flight.

H₀: The type of ticket purchased is mutually exclusive from the type of flight.
H_a: The type of ticket purchased is not mutually exclusive from the type of flight.

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. We conclude that the the type of ticket purchased is not independent of the type of flight.

Do not reject H₀. We cannot conclude that the type of ticket purchased and the type of flight are not independent.    

Do not reject H₀. We cannot conclude that the type of ticket purchased and the type of flight are independent.

Reject H₀. We conclude that the type of ticket purchased is independent of the type of flight.

(b)

Discuss any dependence that exists between the type of ticket and type of flight.

A higher percentage of first class and business class tickets are purchased for domestic flights compared to international flights. Economy class tickets are purchased more for international flights.

The type of ticket purchased is independent of the type of flight.     

A higher percentage of first class and business class tickets are purchased for international flights compared to domestic flights. Economy class tickets are purchased more for domestic flights.

A lower percentage of economy class tickets are purchased for domestic flights compared to international flights. First class and business class tickets are purchased more for domestic flights.