The Nellie Mae organization found that in a random sample of 100 undergraduate students taken in 2004, the average credit card balance was $2169. Suppose sample standard deviation of these credit card balances is $1000. Perform a test to test if the average credit card debt exceeds $2000.

a)

Identify the population   

Identify the variable:

Identify the parameter

b)

Calculate T stat

Find P-value with DF

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any​ outliers, and are they likely to have much of an effect on the measures of​ variation?

36 50 50 55 55 90 95 115 195 206 250 325 500 2000 2500

The manager of a firm announced: “The lightbulbs produced by our firm have a mean lifetime of 2,500 hours, with a standard deviation of 250 hours; thus, it follows that approximately 95 percent of our lightbulbs last between 2000 and 3,000 hours.”

What was the manager assuming?

What if the assumption did not hold – what percentage of the lightbulbs could you expect would last between 2,000 and 3,000 hours?

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any​ outliers, and are they likely to have much of an effect on the measures of​ variation?

38   

50  

50   

65   

70   

95   

95   

125   

185   

200   

255   

375   

450   

2000   

2750

A manufacturer estimates marginal revenue to be 300q^(−1/2) dollars per unit when the level of production is q units each hour. The corresponding marginal cost has been found to be 0.6q dollars per unit. If the manufacturer's profit is 2000 dollars when the hourly level of production is 64 units, what is the profit when the level of production is 100 units each hour?

Profit = _____

The following are the average scores on the mathematics part of the Scholastic Aptitude Test (SAT) for some of the years from 1994 to 2009.

Year, SAT Score

1994 504

1996 508

1998 512

2000 514

2002 516

2004 518

2005 520

2007 515

2009 515

Assuming a simple linear regression model, predict the average scores in 1997, 2006 and 2008

1. Given the following information graphically illustrate the demand and supply curves and solve for the consumer and producer surplus:

a. Q(d)=200-5P     Q(s)=50+5P

b. Q(d)=1000-20P      Q(s)=200+5P

c. P=400-0.5Q(d)      P=100+0.5Q(s)

d. P=2000-2Q(d)     P=200+3Q(s)

Four asteroids, of mass M = 3 × 106 kg, are positioned at the corners of an imaginary square of side length s = 2.4 × 108 m. Two other asteroids of mass m = 2 × 106 kg are positioned in the middle of the left and right sides of the square. If a spaceship is positioned at the middle of the bottom side of the square what is the net force on the ship in Newtons? weight of the spaceship is 2000 kg

The thermal decomposition of dimethyl ether has been studied by measuring the increase of pressure with time

Me2O = CH4 + H2+ CO

The following data were obtained

Time/sec 390 780 1195 2000 3155
Pressure increase/Torr 96 179 250 363 467

Show that the reaction is first order and find the rate constant (hint: Include P0 as a pramater as it is unknown)