Consider the experiment of rolling two dice and the following events:

    A: 'The sum of the dice is 8' and  B: 'The first die is an odd number' and C:  "The difference (absolute value) of the dice is 2"

Find  (a)  p(A and B) (HINT: You cannot assume these are independent events.)

       (b)  p(A or B)

        (c)  Are A and B mutually exclusive events? Explain.

(d)   Are A and B independent events? Explain.

(e)   Are B and C independent events? Explain.

. A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 252 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

Vaccination Status     Diseased      Not Diseased       Total

Vaccinated                      51)               54)                    105)

Not Vaccinated    54)               73)                    147)

Total              (125)    (127)    ( 252)

State the null and alternative hypothesis.

Find the value of the test statistic. Round your answer to three decimal places.

Find the degrees of freedom associated with the test statistic for this problem.

Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.

Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance.

State the conclusion of the hypothesis test at the 0.01 level of significance.

Here is the data for our experiment.

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

This assignment is part of my ANOVA Exercise, I will please need help in completing it.

Thanks

The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light flashed, subjects were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a graph that appeared in the paper. n = 61 x = 530 s = 75 (a) Assuming that this sample is random/representative of the population, what other assumptions need to be true before we can create a confidence interval? Yes, because the population distribution is normal. No, because n < 30 No, because either np̂ < 10 or n(1−p̂) < 10 Yes, because np̂ ≥ 10 and n(1−p̂)≥ 10 Yes, because n ≥ 30 No, because the population distribution is not normal. Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (b) Construct a 98% confidence interval for μ, the mean time to react to a red light while talking on a cell phone. (Round your answers to three decimal places.) , (c) Interpret a 98% confidence interval for μ, the mean time to react to a red light while talking on a cell phone. We are % confident that the mean time to react to a is between and milliseconds. (d) Suppose that the researchers wanted to estimate the mean reaction time to within 5 msec with 95% confidence. Using the sample standard deviation from the study described as a preliminary estimate of the standard deviation of reaction times, compute the required sample size. (Round your answer up to the nearest whole number.) n = You may need to use the appropriate table in Appendix A to answer this question.

Hello,

In an experiment to determine the concentration of glucose in a sample, we are supposed to make a glucose assay with glucose solutions of known concentration. The absorbance for each solution of known concentration will be plotted, so that we can use the line of absorbance rates to later find the concentration of our unknown sample. We need to make our own dilutions for the assay.

We are given a stock glucose solution of 10mg/mL (1000mg/dL). My group wants to make solutions with concentrations 0mg/dL; 100mg/dL; 200mg/dL; 300mg/dL; 400mg/dL; and 500mg/dL. We are unsure of the best way to make the dilutions.

Would we make a 100mg/dL dilution be adding 1 part of stock and 9 parts deionized water? And a 200mg/dL dilution by adding 2 part stock and 8 parts deionized water; 300mg/dL as 3 parts stock and 7 parts deionized water, and so on? I'm unsure of how to do this.

Thank you!

An experiment was carried out to investigate the effect of species (factor A, with I = 4) and grade (factor B, with J = 3) on breaking strength of wood specimens. One observation was made for each species—grade combination—resulting in SSA = 444.0, SSB = 424.6, and SSE = 122.4. Assume that an additive model is appropriate. (a) Test H0: α1 = α2 = α3 = α4 = 0 (no differences in true average strength due to species) versus Ha: at least one αi ≠ 0 using a level 0.05 test. Calculate the test statistic. (Round your answer to two decimal places.) f = 1 What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Reject H0. The data suggests that true average strength of at least one of the species is different from the others. Fail to reject H0. The data does not suggest any difference in the true average strength due to species. Reject H0. The data does not suggest any difference in the true average strength due to species. Fail to reject H0. The data suggests that true average strength of at least one of the species is different from the others. (b) Test H0: β1 = β2 = β3 = 0 (no differences in true average strength due to grade) versus Ha: at least one βj ≠ 0 using a level 0.05 test. Calculate the test statistic. (Round your answer to two decimal places.) f = 4 What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Reject H0. The data does not suggest any difference in the true average strength due to grade. Fail to reject H0. The data does not suggest any difference in the true average strength due to grade. Reject H0. The data suggests that true average strength of at least one of the grades is different from the others. Fail to reject H0. The data suggests that true average strength of at least one of the grades is different from the others.

1. An experiment was run to examine the amount of time it takes to boil a given amount of water on the four different burners of her stove, and with 0, 2, 4, or 6 teaspoons of water. The numbers in parentheses are run order. The results of the design are given below. Use a=0.05 unless otherwise specified

1. Analyze the full model and check for significance
2. Reduce your model
3. Check the adequacy of this model
4. Determine which settings yield the shortest time

The data below was collected in an experiment to determine the solubility of sodium nitrate at 20 Celsius degree.

1. If 5.0000g of NaNO3 was used, calculate the solubility in units of g NaNO3/100g water at each saturation temperature. Show your first calculation. Complete the rest of the calculations and fill in the table.

2. Construct a graph of solubility as a function of saturation.

3. Determine the solubility of sodium nitrate at 20 Celsius degree from a graph.

4. Using the solubility from #3, calculate the percent by mass of the salt in a saturated solution at 20 Celsius degree.

5. If the density of a saturated solution of sodium nitrate at 20 Celsius degree is found to be 1.4g/mL, calculate the Molarity of the solution.

1. “A/B Test”:
   1. A type of experiment that is not readily conducted over the Internet on a firm’s website.
   2. A randomized group of experiments used to collect data and compare performance among two options (A and B).
   3. A/B testing is seldom used in refining the design of technology products.
   4. A non-randomized (“hand-picked”) group of experiments used to collect data and collect and compare performance among two options (A and B).
2. Switching Costs:
   1. Remove the barriers and friction involved for users who are considering migrating to a rival company.
   2. Weaken the value of network effects as a strategic asset.
   3. The costs a consumer incurs when moving from one product to another.
   4. The less friction available to prevent users from migrating to a rival, the greater the switching costs.                                                                                                                                                                               
3. Which of the following is false?
   1. Messaging is considered a two-sided market where the value-creating positive feedback loop of network effects comes mostly from same-side benefits of a single group.
   2. A one-sided market derives most of its value from a single class of users (e.g., instant messaging).
   3. It is possible that a network may have both same-side and cross-side benefits.
   4. Same-side exchange benefits are derived by interaction among members of a single class of participant (e.g., the exchange value when increasing numbers of instant message users gain the ability to message each other).                                                                                 
4. Which of the following is false?
   1. Unseating a firm that dominates with network effects can be extremely difficult, especially if the newcomer is not compatible with the established leader.
   2. Network effects might limit the number of rivals that challenge a dominant firm, but the establishment of a dominant standard may encourage innovation within the standard.
   3. A new rival in the market that is facing a strong, incumbent can often prevail simply by offering a superior product.
   4. An industry upstart must have an overwhelming additional value that exceeds the benefit of exchange, switching costs, and complementary products that are inherent to an incumbent.                                                                                                                                                                        
5. There are many strategies for competing in markets with network effects. Which of the following companies employed “subsidize product adoption” as the linchpin of their strategy for competing such markets?
   1. Citibank
   2. PayPal
   3. Nintendo
   4. Apple                                                                                                                                                                                   

A student is running an experiment in which 73.4 grams of BaI2 is needed, but the only jar of reagent in the lab is labelled barium iodide dihydrate. How many grams of the hydrate must the student weigh out in order to get the desired amount of the anhydrous compound?

1. How many GRAMS of potassium are present in 1.73 grams of potassium chromate, K₂CrO₄ ?
grams potassium.

How many GRAMS of potassium chromate can be made from 2.35 grams of potassium ?
grams potassium chromate.