A U.S. based internet company offers an on-line proficiency course in
basic accounting. Completion of this online course satisfies the "Fundamentals of Accounting"
course requirement in many MBA programs. In the first semester 315 students have enrolled in
the course. The marketing research manager divided the country into seven regions of
approximately equal populations. The course enrollment values in each of the seven regions
are given below. The management wants to know if there is equal interest in the course across
all regions. (Hint: To answer this question you must determine the expected frequency per
region if it is equal)
a. State the null and alternative hypotheses
b. What is the test statistic?
c. Using a .05 significance level, what is the decision rule?
d. Show the test statistic and essential calculations.
e. Interpret you results

Region    1 2    3    4 5 6    7

enrollment 45 60 30 40 50 55 35

What else need to be research about the topic for safety sake a case study of School security effort and there in pak on education reform

.The following table displays the joint probability distribution of two discrete random variables X and Y.

1. What is P(X=1/Y=1)?   
2. What is the value of E(X/Y=1)?   
3. What is the value of VAR(X/Y = 1)?
4. What is the correlation between X and Y?
5. What is variance of W = 4X - 2Y.
6. What is covariance between X and W?

A machine has 6 heat conductors, each with a life time that follows a lognormal distribution with mean 866 hours and standard deviation 40 hours. The machine needs to have at least 4 working conductors to run.

a. What is the chance that the machine will run for at least 900 hours if the 6 conductors were just replaced?

b. If there are 400 heat conductors, what is the probability that no more than 90 will run for at least 900 hours?

A growing concern of employers is time spent in activities like surfing the Internet and e-mailing friends during work hours. The San Luis Obispo Tribune summarized the fundings from a survey of a large sample of workers in an article that ran under the headline "Who Goofs Off 2 Hours a Day? Most Workers, Survey Says" (August 3, 2006). Suppose that the CEO of a large company wants to determine whether the average amount of wasted time during an 8-hour work day for employees of her company is less than the reported 120 minutes. Each person in a random sample of 12 employees was contacted and asked about daily wasted time at work. The resulting data are the following:

108 112 117 128 130 111 131 116 113 113 105 128

Is the following statement "These data provide evidence that the mean wasted time for this company is less than 120 minutes with significance level alpha equals 0.05" true or false?

Bowie State University magazine agency wants to determine the best combination of two possible magazines to print for the month of May.  Star which the University has published in the past with great success is the first choice under consideration. Prime is a new venture and is a promising magazine. The university envisages that by positioning it near Star, it will pick up some spillover demand from the regular readers. The University also hopes that the advertising campaign will bring in a new type of reader from a potentially very lucrative market. The publishing department wants to print at most 500 copies of Star and 300 copies of Prime. The cover price for Star is $3.50, the university is pricing Prime for $4.50 because other magazines doing the same line of business command this type of higher price. The University publishing department has 25 hours of printing time available for the production run. It has 27.5 hours for the collation department, where the magazines are actually assembled. Each copy of Star magazine requires 2.5 minutes to print and 3 minutes to collate. Each Prime requires 1.8 minutes to print and 5 minutes to collate. How many of each magazine should BSU print to maximize revenue? Show all the corner solutions and the value of the objective function.

Hint: You are required to maximize revenue assuming that Star = X and Prime = Y. create a table, specify the LP, draw graph to show feasible region and solve for the corner points. Find the profit for each of the solutions. Also convert hours to minutes in the constraints. The problem has 4 constraints excluding the non-negative constraints.

a. Formulate a linear programming model for this problem.

b. Represent this problem on a graph using the attached graph paper. Show the feasible region.

c. Solve this model by using graphical analysis showing the optimal solution and the rest of the corner points as well as the profits

What is the purpose of measures of association in criminal justice research?

Generally, explain their role as it relates to evaluating claims about theories of crime causation or program/policy effectiveness. Use an example to illustrate your point.

A researcher is interested in explaining variation in people's incomes. He hypothesizes that income is caused by number of friends in a person's social network. He conducts a correlation analysis (Pearson's r) between personal income (Y) and number of friends a person has (X). He finds a strong, statistically significant relationship between the two variables. The computation of Pearson's r and hypothesis testing statistics are correct and this decision the decision to reject the null is correct. Bases on these results, he then draws the additional conclusion: "Therefore, it is clear that the number of friends a person has causes a person's income level."

Please evaluate the researcher's additional conclusion/interpretation: a. Is it appropriate or not appropriate for the research to make this additional claim based on the test used? Why or why not?

A recent study has shown that 28% of 18-34 year olds check their Facebook/Instagram feeds before getting out of bed in the morning,

If we sampled a group of 150 18-34 year olds, what is the probability that the number of them who checked their social media before getting out of bed is:

a.) At least 31?

b.) No more than 52?

c.) between 36 and 44 (including 36 and 44)?

Use the Normal Approximation to the Binomial distribution to answer this question.

Liam is a professional darts player who can throw a bullseye 70% of the time.

If he throws a dart 250 times, what is the probability he hits a bulls eye:

a.) At least 190 times?

b.) No more than 180 times?

c.) between 150 and 185 times (including 150 and 185)?

We want to test whether proportions of cancer differ between a group exposed to estrogen (Group1) and a placebo group (Group2) (two-sided). Let n1=8506 and n2=8102. After a five year follow up, Group 1 had 751 incidents while the Group 2 had 623 incidents.

State null and alternative hypotheses.

Calculate the proportions of incidents in both samples combined, π^. (Report up to 4 decimal places.)

Compute the test statistics, Z. (Round up to 2 decimal places).

Compute the p-value (two-sided).

Can you reject H0 at α=0.05?

What can you conclude?

A. The (population) proportion of cancer significantly differ between two groups at 95% confidence level.

B. The (population) proportion of cancer does not significantly differ between two groups at 95% confidence level.

Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg).

Complete parts (a) through (e), given Σx = 300, Σy = 172, Σx² = 12,028, Σy² = 4038, Σxy = 5996, and

r ≈ −0.883.

(a) Draw a scatter diagram displaying the data.

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(b) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

(c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

(f) Suppose a car weighs x = 41 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.)
16 mpg

The data set 2017NBADraft.txt is a comma delimited file containing data on the players selected in the 2017 NBA draft. Assume this data set is a representative sample of all players in the NBA. Correctly import the data set into R.

c) In R, perform a hypothesis test to determine if the mean weights are different for the first round selections and second round selections. To do this, create a new variable so that the first 30 players all have the value of “First” and the second 30 players (observations 31 to 60) have the value of “Second.” Again, state the hypotheses, provide all R output, make a decision and draw a conclusion.

LastName,FirstName,Team,Position,Birthdate,Height,Wingspan,Weight
Fultz,Markelle,76ers,PG,05-29-98,76,81.75,195
Ball,Lonzo,Lakers,PG,10-27-97,78,79,190
Tatum,Jayson,Celtics,SF,03-03-98,80,83,204
Jackson,Josh,Suns,SF,02-10-97,80,81.75,203
Fox,De'Aaron,Kings,PG,12-20-97,76,78.5,171
Isaac,Jonathan,Magic,SF/PF,10-03-97,83,85.25,205
Markkanen,Lauri,Bulls,PF,05-22-97,84,,225
Ntilikina,Frank,Knicks,PG,07-28-98,77,,170
Smith,Dennis,Mavericks,PG,11-25-97,75,75,195
Collins,Zach,Trail Blazers,PF/C,11-19-97,84,85,230
Monk,Malik,Hornets,SG,02-04-98,76,75.5,197
Kennard,Luke,Pistons,SG,06-25-96,78,77.25,202
Mitchell,Donovan,Jazz,SG,09-07-96,75,82,210
Adebayo,Bam,Heat,C,07-18-97,82,86.75,250
Jackson,Justin,Kings,SF,03-28-95,80,83,193
Patton,Justin,Timberwolves,C,06-14-97,84,87,226
Wilson,D.J.,Bucks,PF,02-19-96,82,87,240
Leaf,T.J.,Pacers,PF,04-30-97,82,83,220
Collins,John,Hawks,PF,09-23-97,82,83.25,225
Giles,Harry,Kings,C,04-22-98,83,87.25,222
Ferguson,Terrance,Thunder,SG/SF,05-17-98,79,80.75,186
Allen,Jarrett,Nets,C,04-21-98,83,89.25,224
Anunoby,OG,Raptors,SF/PF,07-17-97,80,86.25,215
Lydon,Tyler,Nuggets,SF/PF,04-09-96,82,84,225
Pasecniks,Anzejs,76ers,C,12-20-95,86,,229
Swanigan,Caleb,Trail Blazers,PF/C,04-18-97,81,87,247
Kuzma,Kyle,Lakers,PF,07-24-95,81,84.25,221
Bradley,Tony,Jazz,C,01-08-98,82,89,248
White,Derrick,Spurs,PG/SG,07-02-94,77,79.5,200
Hart,Josh,Lakers,SG,03-06-95,78,80.25,204
Jackson,Frank,Pelicans,SG,05-04-98,76,79.5,208
Reed,Davon,Suns,SG,06-11-95,78,84,208
Iwundu,Wesley,Magic,SG,12-20-94,79,85,205
Mason,Frank,Kings,PG,04-03-94,71,75.25,185
Rabb,Ivan,Grizzlies,PF/C,02-04-97,82,85.5,215
Bolden,Jonah,76ers,PF,01-02-96,82,,227
Ojeleye,Semi,Celtics,SF/PF,12-05-94,79,81.75,235
Bell,Jordan,Warriors,PF,01-07-95,81,83.75,227
Evans,Juwan,Clippers,PG,07-26-96,73,77.5,177
Bacon,Dwayne,Hornets,SF,08-30-95,77,82,202
Dorsey,Tyler,Hawks,SG,02-14-96,76,77.25,180
Bryant,Thomas,Lakers,C,07-31-97,82,90,241
Hartenstein,Isaiah,Rockets,PF/C,05-05-98,84,86.25,225
Dotson,Damyean,Knicks,SG,05-06-94,77,71,202
Brooks,Dillon,Grizzlies,SF,01-22-96,79,78,215
Brown,Sterling,Bucks,SG,02-10-95,78,81.5,230
Anigbogu,Ike,Pacers,C,10-22-98,82,90.25,230
Thornwell,Sindarius,Clippers,SG,11-15-94,77,82,214
Cancar,Vlatko,Nuggets,PF,04-10-97,80,83,210
Lessort,Mathias,76ers,PF/C,09-29-95,81,,250
Morris,Monte,Nuggets,PG,06-27-95,75,76,175
Sumner,Edmond,Pacers,PG,12-31-95,77,81,170
Allen,Kadeem,Celtics,PG,01-15-93,75,81.25,200
Peters,Alec,Suns,PF,04-13-95,81,82.75,225
Williams-Goss,Nigel,Jazz,PG,09-16-94,76,79.25,182
Bird,Jabari,Celtics,SG,07-03-94,78,80,199
Vezenkov,Aleksandar,Nets,SF/PF,08-06-95,81,,225
Jaramaz,Ognjen,Knicks,PG,09-01-95,76,77.5,193
Blossomgame,Jaron,Spurs,SF/PF,09-16-93,79,82,214
Kaba,Alpha,Hawks,C,09-21-96,82,89.25,226

LastName,FirstName,Team,Position,Birthdate,Height,Wingspan,Weight,College,Year
Fultz,Markelle,76ers,PG,05-29-98,76,81.75,195,Yes,Freshman
Ball,Lonzo,Lakers,PG,10-27-97,78,79,190,Yes,Freshman
Tatum,Jayson,Celtics,SF,03-03-98,80,83,204,Yes,Freshman
Jackson,Josh,Suns,SF,02-10-97,80,81.75,203,Yes,Freshman
Fox,"De'Aaron",Kings,PG,12-20-97,76,78.5,171,Yes,Freshman
Isaac,Jonathan,Magic,SF,10-03-97,83,85.25,205,Yes,Freshman
Markkanen,Lauri,Bulls,PF,05-22-97,84,,225,Yes,Freshman
Ntilikina,Frank,Knicks,PG,07-28-98,77,,170,No,
Smith,Dennis,Mavericks,PG,11-25-97,75,75,195,Yes,Freshman
Collins,Zach,Trail Blazers,C,11-19-97,84,85,230,Yes,Freshman
Monk,Malik,Hornets,SG,02-04-98,76,75.5,197,Yes,Freshman
Kennard,Luke,Pistons,SG,06-25-96,78,77.25,202,Yes,Sophomore
Mitchell,Donovan,Jazz,SG,09-07-96,75,82,210,Yes,Sophomore
Adebayo,Bam,Heat,C,07-18-97,82,86.75,250,Yes,Freshman
Jackson,Justin,Kings,SF,03-28-95,80,83,193,Yes,Junior
Patton,Justin,Timberwolves,C,06-14-97,84,87,226,Yes,Freshman
Wilson,D.J.,Bucks,PF,02-19-96,82,87,240,Yes,Junior
Leaf,T.J.,Pacers,PF,04-30-97,82,83,220,Yes,Freshman
Collins,John,Hawks,PF,09-23-97,82,83.25,225,Yes,Sophomore
Giles,Harry,Kings,C,04-22-98,83,87.25,222,Yes,Freshman
Ferguson,Terrance,Thunder,SG,05-17-98,79,80.75,186,No,
Allen,Jarrett,Nets,C,04-21-98,83,89.25,224,Yes,Freshman
Anunoby,OG,Raptors,PF,07-17-97,80,86.25,215,Yes,Sophomore
Lydon,Tyler,Nuggets,SF,04-09-96,82,84,225,Yes,Sophomore
Pasecniks,Anzejs,76ers,C,12-20-95,86,,229,No,
Swanigan,Caleb,Trail Blazers,PF,04-18-97,81,87,247,Yes,Sophomore
Kuzma,Kyle,Lakers,PF,07-24-95,81,84.25,221,Yes,Junior
Bradley,Tony,Jazz,C,01-08-98,82,89,248,Yes,Freshman
White,Derrick,Spurs,PG,07-02-94,77,79.5,200,Yes,Senior
Hart,Josh,Lakers,SG,03-06-95,78,80.25,204,Yes,Senior
Jackson,Frank,Pelicans,SG,05-04-98,76,79.5,208,Yes,Freshman
Reed,Davon,Suns,SG,06-11-95,78,84,208,Yes,Senior
Iwundu,Wesley,Magic,SG,12-20-94,79,85,205,Yes,Senior
Mason,Frank,Kings,PG,04-03-94,71,75.25,185,Yes,Senior
Rabb,Ivan,Grizzlies,C,02-04-97,82,85.5,215,Yes,Sophomore
Bolden,Jonah,76ers,PF,01-02-96,82,,227,No,
Ojeleye,Semi,Celtics,SF,12-05-94,79,81.75,235,Yes,Junior
Bell,Jordan,Warriors,PF,01-07-95,81,83.75,227,Yes,Junior
Evans,Juwan,Clippers,PG,07-26-96,73,77.5,177,Yes,Sophomore
Bacon,Dwayne,Hornets,SF,08-30-95,77,82,202,Yes,Sophomore
Dorsey,Tyler,Hawks,SG,02-14-96,76,77.25,180,Yes,Sophomore
Bryant,Thomas,Lakers,C,07-31-97,82,90,241,Yes,Sophomore
Hartenstein,Isaiah,Rockets,PF,05-05-98,84,86.25,225,No,
Dotson,Damyean,Knicks,SG,05-06-94,77,71,202,Yes,Senior
Brooks,Dillon,Grizzlies,SF,01-22-96,79,78,215,Yes,Junior
Brown,Sterling,Bucks,SG,02-10-95,78,81.5,230,Yes,Senior
Anigbogu,Ike,Pacers,C,10-22-98,82,90.25,230,Yes,Freshman
Thornwell,Sindarius,Clippers,SG,11-15-94,77,82,214,Yes,Senior
Cancar,Vlatko,Nuggets,PF,04-10-97,80,83,210,No,
Lessort,Mathias,76ers,PF,09-29-95,81,,250,No,
Morris,Monte,Nuggets,PG,06-27-95,75,76,175,Yes,Senior
Sumner,Edmond,Pacers,PG,12-31-95,77,81,170,Yes,Junior
Allen,Kadeem,Celtics,PG,01-15-93,75,81.25,200,Yes,Senior
Peters,Alec,Suns,PF,04-13-95,81,82.75,225,Yes,Senior
Williams-Goss,Nigel,Jazz,PG,09-16-94,76,79.25,182,Yes,Junior
Bird,Jabari,Celtics,SG,07-03-94,78,80,199,Yes,Senior
Vezenkov,Aleksandar,Nets,SF,08-06-95,81,,225,No,
Jaramaz,Ognjen,Knicks,PG,09-01-95,76,77.5,193,No,
Blossomgame,Jaron,Spurs,SF,09-16-93,79,82,214,Yes,Senior
Kaba,Alpha,Hawks,C,09-21-96,82,89.25,226,No,

Jill comes to you and is interested in the mean calorie content of energy bars. She believes that the distribution of calorie content is approximately normal. You tell her to take a sample of energy bars. Jill comes back to you and says that she took a random sample of 12 energy bars, and found that, on average, there were 240 calories per bar, with a standard deviation of 30 calories. Use a 97% confidence interval?