An experiment was conducted see the effect on fertilizer on production of Mameys. H0 : fertilizers have no impact on mamey production. H1 : fertilizers have an impact on mamey production. There are four treatment (a=4); three types of fertilizer and the control. Each treatment has four replicates (n=4). The number of mameys produced is given in the table below.

A. Using these data complete a 1-Way ANOVA table.

F1: 1, 2, 6, 11

F2: 2, 4, 2, 4

F3: 12, 4, 2, 6

Con: 3, 3, 1, 1

B. What is the proportion of explained variance for this treatment?

A psychologist conducted an experiment analysing the relationship between student scores in an exam and the amount of attention they paid in class. The latter was measured using a type of brain monitor. The Psychologist believed that scores would increase by 1 for every two unit increase in attention. The data are listed in the excel spreadsheet.

Estimate a linear regression between the score (Y) and the measure of attention(X).

(a) Write out the equation for Y in the form , but with coefficients. Show the estimated standard errors in parenthesis below the coefficients. What is the R2 of the regression? Calculate a 99 percent confidence interval for β.                                                               [5 pts]

(b) What are the mean and the estimated standard deviation of the estimated residuals? [2 pts]

Hint: the first answer is definitional and the second answer is easily seen from the output.

(c )Test the hypothesis that there is no relationship between the variables at the 90 percent significance level.                                                                                                    [3 pts]

(d) Test the hypothesis that the coefficient β=0.5 at the 99% significance level.               [3 pts]

(e) The Psychologist concluded from the experiment that test scores increase significantly if students pay attention in class. In one word, how would you describe the results of this experiment based on the data you have?                                                                                                       [2 pts]

DATA:

The following are some calculation questions related to the experiment. Please include the questions and their answers in your report:

a) A 0.05 L solution of 0.5 mol/L NaOH was titrated until neutralized into a 0.025 L sample of HCl. What was the concentration of the HCl?

b) 50 L of 2.0 mol/L Hydrochloric acid is titrated with sodium hydroxide to form water and sodium chloride. How many moles of sodium hydroxide are consumed in this reaction?

c) 100 L of 5 mol/L NaOH are required to fully titrate a 50 L solution of HCl. What is the initial concentration of the acid?

1. An experiment examined the impact of THC (the active ingredient in marijuana) on various physiological and psychological variables. The study recruited a sample of 18 young adults who were habitual marijuana smokers. Subjects came to the lab 3 times, each time smoking a different marijuana cigarette: one with 3.9% THC, one with 1.8% THC, and one with no THC (a placebo). The order of the conditions was randomized in a double-blind design.

At the start of each session, no subject reported being “high.” After smoking the cigarette, participants rated how “high” they felt, using a positive continuous scale (0 representing not at all “high”). For the placebo condition, participants reported a mean “high” feeling of 11.3, with a standard deviation of 15.5. Is there evidence of a significant placebo effect, with subject feeling significantly “high” after smoking a placebo marijuana cigarette?

the appropriate null and alternative hypotheses for this study- H₀: m = 0 versus H_a: m > 0

a. What is the appropriate statistic to test this hypothesis? What is its value?

b. what is the P-value for the appropriate test? Specify the distribution used and all relevant parameters.

The results from a two-factor experiment can be presented in a matrix with the levels of one factor forming the rows and the levels of the second factor forming the columns, with a separate sample in each of the matrix cells. Demonstrate this with your own example, and describe what is meant by the main effects for each factor and the interaction between factors based on the numbers that you choose to plug in for each one of the cells.

1. The reaction of an individual to a stimulus in a psychological experiment may take one of the two forms: A or B. An experimenter wishes to estimate the true proportion of people who will react in manner A. How many people must she include in the sample if she wants to estimate the true proportion with a 85% confidence interval of length 0. 06? Also, assume that a pilot study had revealed the proportion to be somewhere around 15%.

2. Suppose the sample mean lifetime of twenty-five batteries of a certain type (say Type A) was found to be 4. 1 hours with a corresponding standard deviation 0. 87 hours. Similarly, the sample mean lifetime of twenty-two batteries of another type (say Type B) was found to be 4. 9 hours with a corresponding standard deviation 0. 42 hours. At a significance level of alpha = 0. 02, is there enough evidence that Type A batteries is inferior to Type B?

In a genetics experiment, investigators looked at 300 chromosomes of a particular type and counted the number of sister-chromatid exchanges n each. A Poisson model was hypothesized for the distribution of the number of exchanges. Test the fit of a Poisson distribution to the data.

George was a participant in a visual priming experiment. He thinks that according to the study, subliminal perception can greatly influence behavior. He asks your opinion about purchasing subliminal message CDs to help him quit smoking. Research and describe some of the history of subliminal messages, their origins, and use in pop-culture. Research the online library for scholarly articles on subliminal messages and explain what you found regarding their validity. Based on what you found compare and contrast the validity of use on individuals and groups. Based on what you leaned thus far regarding learning and cognitive processes, what advice would you give George regarding quitting smoking?

Experiment: Synthesis of Benzoin:

2.6g of thiamine hydrochloride in a flask was dissolved in 8ml of water, 30 ml of ethanol was added and cooled on an ice bath. 5ml of 3M Sodium Hydroxide was added. 15ml of benzaldehyde was added and heated for 1hr.

Question 1:  how would the amount of  of reagents change if the amount of benzaldehyde was reduced to 1 ml. with calculations please?

Question 2: What is the theoretical weight of the product with calculations please?

In an experiment where you standardize EDTA with calcium carbonate and then have EDTA as the titrant and zinc as the analyte to determine the amount of zinc, which of the following are potential sources of error in the determination of the mean and relative standard deviation for the amount of zinc in your unknown?

Select all answers that apply.

1) Lack of homogeneity in the indicator solution

2) Not dissolving calcium carbonate completely

3) Inconsistencies in pipetting the zinc unknown

4) Systematic error in the buret calibrations

5) Failing to quantitatively transfer calcium carbonate

6) Sharing the indicator bottle

7) Over-titrating