A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 339 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

Vaccination Status Diseased Not Diseased Total

Vaccinated 66 152 218

Not Vaccinated 84 37 121

Total 150 189 339

Step 6 of 8 : Find the critical value of the test at the 0.005 level of significance. Round your answer to three decimal places.

step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.005 level of significance.

Step 8 of 8: State the conclusion of the hypothesis test at the 0.005 level of significance.

In a dialysis experiment with a dialysis full of glucose/starch solution in a beaker of water (tested starch with iodine)- Which solutes would cross the membrane? Why were these solutes able to cross and not others? Do you have evidence that dialysis occurred? Explain. Do you have evidence that osmosis occurred? Explain. Can dialysis and osmosis occur at the same time? Why or why not?

E422: An analysis of variance (ANOVA) is used to analyze the data gathered in an experiment. Oneway ANOVA implies that this tool deals with:

I. One level

II. Independent samples

III. One dependent variable

IV. One independent variable

A. I only

B. II and III only

C. II, III, and IV only

D. I, II, III, and IV

An article in Optical Engineering reported on use of an optical correlator to perform an experiment by varying brightness and contrast. The useful range of gray levels characterizes the resulting modulation. The data are shown below:

Brightness (%): 54 61 65 100 100 100 50 57 54

Contrast (%): 56 80 70 50 65 80 25 35 26

Useful range (ng): 96 50 50 112 96 80 155 144 255

USING MINITAB...

1. Fit a multiple linear regression model to these data.
2. Estimate σ².

Which of the following is not a property of a binomial experiment?

Question 15 options:

Question 16

The probability distribution for the number of goals the Norse soccer team makes per game is given below;

Number of Goals Probability

0 0.05

1 0.15

2 0.35

3 0.30

4 0.15

Refer to the probabilities, what is the probability that in a given game the Norse will score 2 goals or more?

Question 16 options:

A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is

Question 20 options:

students who participated in the​ study,

7878

correctly identified the color of the candy. The results are shown in the accompanying technology printout. Complete parts a through c below.

LOADING...

Click the icon to view the technology printout.

The proportion would be

0.50.5.

​(Type an integer or a​ decimal.)

b. Specify the null and alternative hypotheses for testing whether color and flavor are related. Choose the correct hypotheses below.

A.

Upper H 0 : p equals 0.50 vs. Upper H Subscript a Baseline : p greater than 0.50H0: p=0.50 vs. Ha: p>0.50

B.

Upper H 0 : p equals 0.50 vs. Upper H Subscript a Baseline : p less than 0.50H0: p=0.50 vs. Ha: p<0.50

C.

Upper H 0 : p not equals 0.50 vs. Upper H Subscript a Baseline : p equals 0.50H0: p≠0.50 vs. Ha: p=0.50

Your answer is not correct.

D.

Upper H 0 : p less than 0.50 vs. Upper H Subscript a Baseline : p equals 0.50H0: p<0.50 vs. Ha: p=0.50

E.

Upper H 0 : p equals 0.50 vs. Upper H Subscript a Baseline : p not equals 0.50H0: p=0.50 vs. Ha: p≠0.50

This is the correct answer.

F.

Upper H 0 : p greater than 0.50 vs. Upper H Subscript a Baseline : p equals 0.50H0: p>0.50 vs. Ha: p=0.50

c.

Carry out the test and give the appropriate conclusion at

alphaαequals=0.010.01.

Use the​ p-value of the​ test, shown on the accompanying technology​ printout, to make your decision.

The​ p-value is

0.0020.002.

​(Type an integer or a​ decimal.)

Make the appropriate conclusion using

alphaαequals=0.010.01.

A.

RejectReject

the null​ hypothesis, because the​ p-value is

not less thannot less than

alphaα.

There is

insufficientinsufficient

evidence to conclude that color and flavor are related.

B.

Do not rejectDo not reject

the null​ hypothesis, because the​ p-value is not

not less thannot less than

alpha

Newton’s Law of Motion

Part 2 data: Tilted Track

(PLEASE SHOW ALL WORK)

1. Draw four FBD (free body diagrams) with Fnet vectors for the following four cases. (Neglect friction and drag.) (Define coordinate systems for each object, where each coordinate system is aligned with the object’s acceleration.)

a. Hanging mass while accelerating down (b). Cart on flat track while accelerating (from part 1 data)

c. Cart on inclined track while accelerating (d). Cart on declined track while accelerating (this is from part 2 data)

2. For case 1a above, write out Newton’s 2nd Law in the y-direction and solve for the tension: TH.

3. For cases 1b, 1c, and 1d, write out Newton’s 2nd Law in the x-direction and solve for the tension: TC.

4. Start an Excel data table and organize all your data (angles, mC, mH, and cart accelerations)

5. Nearby, start an Excel results table. Here, calculate the following quantities once per trial.

Reminder: If you use sine or cosine in MS Excel, it expects the angle to be entered in radians. You can input degrees by using “sin(radians(A1))” and “cos(radians(A1))”.    (Change “A1” to match your angle’s location.)

a. the net force acting on the cart, using Fnet=ma.

b. the net force acting on the hanging mass, using Fnet=ma.

c. the tension force, TH, acting on mH.

d. the tension force, TC, acting on mC. Do not use the tension value from part c!

e. the fraction TC/TH.     (What should this ratio be if your data was perfect?)

6. For your TC/TH values, calculate the average, standard deviation, and percent error between your average and the accepted value.

7. Make a single scatter plot showing the cart’s acceleration vs. the net force on the cart. Use three data series: 1) first four trials, 2) heavy cart, and 3) tilted track.

8. Add a linear trend line to each data set. For each trend line, use “Set Intercept” with a value of zero. Display the equation for each trend line.   (When the net force is zero, the acceleration had better be zero. Thus, the y-intercept should be 0 m/s2.)

The following experiment was carried out to evaluate a drug for the prevention of heart attacks. The subjects were 3,900 middle-aged men with heart trouble. Out of these men, 1,100 were assigned at random to receive the drug, and the remaining 2,800 were given a placebo. The subjects were followed for five years. In the group that received the drug, there were 220 deaths; in the control group, 2 there were 588 deaths. The 220 is 20% of the treatment group and the 588 is 21% of the control group. Someone argues as follows: “A one-percentage-point difference may not seem like much, but 1% of a million, for example, is 10,000. The drug will save tens of thousands of lives.” Do you agree or disagree with the statement? Explain and show mathematically.

A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 7 10 15 11 14 19 System 2 6 14 16 10 16 22 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use . Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places.