1 answer

There are two sections of statistics, one in the morning (AM) with 24 students and one...

Question:

There are two sections of statistics, one in the morning (AM) with 24 students and one in the afternoon (PM) with 27 students. Each section takes an identical test. The PM section, on average, scored higher than the AM section. The results are summarized in the table below.

Necessary information:

n x s2 s
PM (x1) 27 80.8 277.5 16.66
AM (x2) 24 70.9 250.3 15.82

The Test: Test the claim that the PM section did significantly better than the AM section, i.e., is the difference in mean scores large enough to believe that something more than random variation produced this difference. Use a 0.05 significance level.

(a) Calculate the test statistic using software or the formula below
t =

(x1x2) − δ
sqrt3a.gif
s12
n1
+
s22
n2

where δ is the hypothesized difference in means from the null hypothesis. Round your answer to 2 decimal places.

t =

To account for hand calculations -vs- software, your answer must be within 0.01 of the true answer.
(b) Use software to get the P-value of the test statistic. Round to 4 decimal places. P-value =

(c) What is the conclusion regarding the null hypothesis?

reject H0

fail to reject H0    

(d) Choose the appropriate concluding statement.

The difference in mean scores is large enough to suggest this difference is due to something more than random variation.

There is not a big enough difference in mean scores to suggest that this difference is anything more than a result of random variation.     

We have proven that students in PM sections of statistics do better, on average, than students taking AM sections.

We have proven that there is no difference between AM and PM sections of statistics.


Answers

H u- = 0 Test statistic, t = 80. 8-70.9)- 27구.5 250.3 24 27 2 17559 2.1756 degrean of freedom - nin2-2 = 27+24 -2 49 P-Value

.

Similar Solved Questions

1 answer
A. Write down the differential equation describing the circuit for an arbitrary time-dependent voltage V (t),...
A. Write down the differential equation describing the circuit for an arbitrary time-dependent voltage V (t), in terms of the inductance L, capacitance C and resistance R of the circuit. B. Determine an analytic solution when the voltage is switched off [V(t) = ol. First, express your solution in te...
1 answer
In the movie, The Avengers, Loki's scepter contained one of the six infinity stones - the...
In the movie, The Avengers, Loki's scepter contained one of the six infinity stones - the Mind Stone. Although the Mind Stone appears blue while in the scepter, it actually emits light in the yellow part of the visible spectrum, as well as low-energy gamma rays. It was these gamma rays that allo...
1 answer
Find all real numbers that are not in the domain of the following function: f(x)=x^2+4x+1/2x^2+x-3
Find all real numbers that are not in the domain of the following function: f(x)=x^2+4x+1/2x^2+x-3...
1 answer
Common stock problem
You have finally saved $10,000 and are ready to make your first investment. You have the three following alternatives for investing that money:• A capital cities with a par value of $1,000, an interest rate of 8.75 percent, and a maturity of 12 years. The bond is selling for $1,314.• south...
1 answer
The Washington monument is a square column with a pyramid on top. “Mills's 1848 obelisk was to be 500 feet tall, 55 feet (17 m) square at the base and 35 feet (11 m) square at the top” plus the p...
The Washington monument is a square column with a pyramid on top. “Mills's 1848 obelisk was to be 500 feet tall, 55 feet (17 m) square at the base and 35 feet (11 m) square at the top” plus the pyramid. Using calculus, find the volume of the column, and include the formula for findin...
1 answer
Discuss the major components of the Sarbanes-Oxley Act of 2002 and Corporate Governance? Counterpoint: According to...
Discuss the major components of the Sarbanes-Oxley Act of 2002 and Corporate Governance? Counterpoint: According to Romano (2004), the Sarbanes-Oxley Act (SOX), in which Congress introduced a series of corporate governance initiatives into the federal securities laws are not just a considerable chan...
1 answer
The southern hemisphere is located between the equator and which important line of latitude (special point)?
The southern hemisphere is located between the equator and which important line of latitude (special point)?...
1 answer
The Supreme Court recently reinforced this idea with their ruling in Citizens United v. Federal Election...
The Supreme Court recently reinforced this idea with their ruling in Citizens United v. Federal Election Commission. In this decision, the court overturned historic laws that sought to minimize corporate influence over elected officials by limiting corporate campaign contributions. This ruling is ba...
1 answer
Design a digital system that will count the number of switches activated and display that count...
Design a digital system that will count the number of switches activated and display that count in binary using LEDs. An LED that is illuminated represents a '1' and an LED that is off represents a '0'. Note that you may utilize ANY chips in your part kits to implement this design.( ...
1 answer
Suppose a 500. mL flask is filled with 1.6 mol of O, and 0.70 mol of...
Suppose a 500. mL flask is filled with 1.6 mol of O, and 0.70 mol of NO. The following reaction becomes possible: N2(g)02g)2NO (g) The equilibrium constant K for this reaction is 9.43 at the temperature of the flask Calculate the equilibrium molarity of NO. Round your answer to two decimal places. &...
1 answer
Required information Sunrise Accounting provides basic tax services and "rent-a-controller” accounting services. Sunrise has identified three...
Required information Sunrise Accounting provides basic tax services and "rent-a-controller” accounting services. Sunrise has identified three activity pools, the related costs per pool, the cost driver for each pool, and the expected use for each pool. 0/3.75 points awarded Scored Activity...
1 answer
A massiess String is attached to a wall. Jack holds one end and shakes it up...
A massiess String is attached to a wall. Jack holds one end and shakes it up and down in a sinusoidal manner with a frequency of 3.0 Hz and an amplitude of 0.090 m. The wave Speed on the string is v= 9.0 m/s. At +=0, Jack's end has a maximum positive displacement and is instantaneously at resti ...
1 answer
How do you use the chain rule to differentiate #f(x)=(x^7-3x^2+15x^(-3/2))^6#?
How do you use the chain rule to differentiate #f(x)=(x^7-3x^2+15x^(-3/2))^6#?...
1 answer
Megamart, a retailer of consumer goods, provides the following information on two of its departments (each...
Megamart, a retailer of consumer goods, provides the following information on two of its departments (each considered an investment center). Investment Center Electronics Sporting goods Sales Income $42,250,000 $3,211,000 19, 350,000 2,322,000 Average Invested Assets $16,900,000 12,900,000 Exercise ...
1 answer
A hollow box beam ABC of length L is supported at end A by a 20...
A hollow box beam ABC of length L is supported at end A by a 20 mm diameter pin thet passes through the beam and its supporting pedestals (see figure). The roller support at B is lovated at distance L/3 from end A. a.) determine the average shear stress (MPa) in the pin due to a load P equal to 10kN...
1 answer
EVALUATE THE FORMULA V=Bh/3 for each pair of values B=500ft^2, h=9ft
EVALUATE THE FORMULA V=Bh/3 for each pair of values B=500ft^2, h=9ft...