(20.30) In a randomized comparative experiment on the effect of color on the performance of a cognitive task, researchers randomly divided 68 subjects (29 males and 39 females ranging in age from 17 to 25 years) into three groups. Participants were asked to solve a series of 6 anagrams. One group was presented with the anagrams on a blue screen; one group saw them on a red screen; and one group had a neutral screen. The time, in seconds, taken to solve the anagrams was recorded. The paper reporting the study gives x¯= 11.5 and s= 4.31 for the times of the 24 members of the neutral group.

(Give your answer to three decimal places.)

A 90% confidence interval for the mean time in the population from which the subjects were recruited is from ___ to ____ seconds.

Here is the data for our experiment.

a) The data are the SMUT scores of the students in each group. Notice that we have a different number (n) for the lecture group. This is to show you that we can have uneven sets of data for ANOVA. Note: If we were doing a real study, we would have larger n’s. Enter the data into the Excel spread sheet, SPSS or your calculator

b) Performing the ANOVA:

Use SPSS, Excel or your calculator to enter the data above and perform a one-way ANOVA. Your spreadsheet should have 2 columns one for the I.V. and one for the D.V. You may create your own variable names. There are 3 nominal levels for the I.V. (1=computer; 2=lecture; 3=cooperative) while your D.V. is a continuous variable.

c) Calculating the F-Score (F-ratio):

The value of F is obtained by dividing the Between Groups Mean Square by the Within Groups Mean Square.

The formula for the F-ratio is F= Vb/Vw = between-groups variance/ Within-groups variance

We divide the variance that can be attributed between the groups by the variance that can be attributed within the groups. If the two variances are the same, the F-ratio will be equal to one. We would thus conclude that no difference exists between the groups because we get the same variance whether we compute the variance between groups or the variance within the groups. As the variance between the groups increases, the value of the F-ratio will increase, if the Within Groups variance remains the same. Likewise, as the Within Groups variance increases, this tends to decrease the value of the F-ratio. Any F- ratio less than or equal to 1 result in a non-significant difference between the population means. That is, a failure to reject the null hypothesis.

d) Once you have entered all the data and run your ANOVA and F-ration, based on the results do you reject the null hypothesis or fail to reject the null hypothesis?

Please I will need help with this assignment. thanks

An experiment was conducted to observe the effect of an increase in temperature on the potency of an antibiotic. Three 1-ounce portions of the antibiotic were stored for equal lengths of time at each of the following Fahrenheit temperatures: 40, 55, 70, and 90. The potency readings observed at the end of the experimental period were

Potency reading, y: 49 38 27 24 38 33 19 28 16 18 23

Temperature, x: 40 40 40 55 55 55 70 70 70 90 90

a) Find the least-squares line appropriate for these data.

b) Calculate the 95% confidence intervals for B₀ and B₁

An experiment was conducted to observe the effect of an increase in temperature on the potency of an antibiotic. Three 1-ounce portions of the antibiotic were stored for equal lengths of time at each of the following Fahrenheit temperatures: 40, 55, 70, and 90. The potency readings observed at the end of the experimental period were

Potency reading, y: 49 38 27 24 38 33 19 28 16 18 23

Temperature, x: 40 40 40 55 55 55 70 70 70 90 90

a) Find the least-squares line appropriate for these data.

b) Calculate the 95% confidence intervals for B₀ and B₁

One of the scenarios below is a Binomial Experiment and the other is not. For each​ scenario, state whether or not it is a Binomial Experiment. If it​ is, give the values of n and p and state all the possible values of X. If it is​ not, say why​ (which of the four conditions are not​ met?).

​(a) In the 2008 presidential​ election, 54% of the voters voted for President Obama. Suppose 5 people who voted in the 2008 election are randomly selcted. The random variable represents the number of people in the random sample who voted for President Obama in the 2008 election.

​(b) Suppose that the probability that a randomly selected person who has recently married for the first time will be divorced within 5 years is​ 0.2, and that the probability that a randomly selected person who has recently married for the second time is 0.3. We take a random sample of 20 people who recently married​ (10 for the first time and 10 for the​ second). The sample is chosen so that no one in the sample is married to anyone else in the sample. The

random variable represents the number of people in the sample of 20 who will be divorced within 5 years.

Which of the following statements is true?

An experiment was performed on a certain metal to determine if the strength is a function of heating time (hours). Results based on 25 metal sheets are given below. Use the simple linear regression model.

∑X = 50

∑X2 = 200

∑Y = 75

∑Y2 = 1600

∑XY = 400

Find the estimated y intercept and slope. Write the equation of the least squares regression line and explain the coefficients. Estimate Y when X is equal to 4 hours. Also determine the standard error, the Mean Square Error, the coefficient of determination and the coefficient of correlation. Check the relation between correlation coefficient and Coefficient of Determination. Test the significance of the slope.

Please show all work, please type out so it is legible, thank you

In a randomized comparative experiment on the effect of color on the performance of a cognitive task, researchers randomly divided 68 subjects (26 males and 42 females ranging in age from 17 to 25 years) into three groups. Participants were asked to solve a series of 6 anagrams. One group was presented with the anagrams on a blue screen; one group saw them on a red screen; and one group had a neutral screen. The time, in seconds, taken to solve the anagrams was recorded. The paper reporting the study gives x¯= 11.51 and s= 4.25 for the times of the n= 21 members of the neutral group. (Give your answer to three decimal places.) A 95 % confidence interval for the mean time in the population from which the subjects were recruited is from to seconds.

It was believed from the experiment on the obstacle course, in Part I, that there is a relationship between a subject’s reaction time before drinking two beers and the subject’s age:

Experiment carried out in part I

Drunk driving is one of the main causes of car accidents. Interviews with drunk drivers who were involved in accidents and survived revealed that one of the main problems is that drivers do not realise that they are impaired, thinking “I only had 1-2 drinks … I am OK to drive.” A sample of 5 drivers was chosen, and their reaction times (seconds) in an obstacle course were measured before and after drinking two beers. The purpose of this study was to check whether drivers are impaired after drinking two beers. Below is the data gathered from this study

Driver 1 2 3 4 5

Before 6.15 2.86 4.55 3.94 4.19

After 6.85 4.78 5.57 4.01 5.72

Driver 1 2 3 4 5

Age (years) 20 30 25 27 26 1.

(a)What type of study is being outlined here? Justify your answer?

(b)Plot a graph representing the relationship between reaction times before drinking two beers and age.

(c) From the graph in (b), suggest a relationship that could exist between the two measurements?

(d)Use a 1% level of significance and the following points to test the claim that there is a relationship between the reaction times before drinking two beers and age.

(i) State the null and alternative hypotheses in context

.(ii) Calculate the test statistic.

(e) Identify the rejection region(s).

(f) Clearly state your conclusions (in context).

(g)What percentage of variation in reaction times before drinking two beers is unexplained by the relationship between reaction times before drinking two beers and age?

(h) Derive a model/equation that could be used to predict reaction times before drinking two beers for a person, if the age of the person is known.

(i) Using the model derived in (h), what would the predicted reaction time, in the obstacle course, before drinking two beers of a 22-year-old be?

(20.30) In a randomized comparative experiment on the effect of color on the performance of a cognitive task, researchers randomly divided 70 subjects (24 males and 46 females ranging in age from 17 to 25 years) into three groups. Participants were asked to solve a series of 6 anagrams. One group was presented with the anagrams on a blue screen; one group saw them on a red screen; and one group had a neutral screen. The time, in seconds, taken to solve the anagrams was recorded. The paper reporting the study gives x¯¯¯=x¯=11.73 and s=s=4.19 for the times of the 24 members of the neutral group.

(Give your answer to three decimal places.)

A 96 % confidence interval for the mean time, when using a neutral screen, in the population from which the subjects were recruited is from  to  seconds.