Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. Then find the mean, variance, and standard deviation.

A student performed an experiment similar to the one that you will perform, but using different solutions from the ones that you will use. The student's data are presented in Table 4 below.

1.) Is a 0.1 M solution of NaNO2 acidic or basic?

2.) What experimental evidence supports your answer?

3.) List the solutions studied by the student that are basic.

4.) What experimental evidence supports your answer?

Table 4 Student data for estimating the PH of solutins

   indicator color

5.) Using these data, compare the relative basicity of the Ca(OH)2 and C2H5NH2 solutions. Briefly explain on what basis you can or cannot make this comparison.

6.) List the basic solutions in order of increasing basicity.

7.) What experimental evidence supports your answer?

In a similar experiment to the one you have performed a student is measuring the equilibrium for an organic acid that is soluble in water and in cyclohexane, a nonpolar organic solvent. When shaken with the solution of water and cyclohexane, it distributes between the organic and aqueous phase. The two phases are separated and titrated with 0.12 M NaOH. Calculate the equilibrium constant for an acid where the titration of the aqueous phase requires 9.9 mL of the base and the organic phase requires 4.76 mL of the base.

I can't figure out how to solve this problem. We did something similar in my lab but i can't remember. Show all work please.

Experiment 2: Using the Secondary Standard to Determine the Concentration of an Acid

1. In an Erlenmeyer flask, add 25 mL of Unknown #1 concentration of acetic acid (CH₃COOH) and 2 drops of phenolphthalein indicator.

2. Coarse Titration:

(a) Take a burette from the Containers shelf and place it on the workbench. Fill the burette with 50 mL of the standardized sodium hydroxide solution. Record the initial burette reading. Place the Erlenmeyer flask on the lower half of the burette.

(b) Perform a coarse titration, adding large increments of the sodium hydroxide solution from the burette by pressing and holding the black knob at the bottom of the burette. Each time you add the sodium hydroxide solution, check the volume remaining in the burette. As the sodium hydroxide is added to the acetic acid solution the pH increases. Watch for a change of the phenolphthalein color in the Erlenmeyer flask. The pink color will appear in Erlenmeyer flask when the endpoint is either reached or crossed. Record the burette volume at which this occurs.

(c) Place the Erlenmeyer flask and the burette in the recycling bin.

3. Fine Titration:

(a) Set up the tiration as before: (i) An Erlenmeyer flask filled with 25 mL of unknown #1 concentration of acetic acid and 2 drops of phenolphthalein indicator. (ii) A burette filled with 50 mL of the standardized sodium hydroxide solution. Record the initial burette reading. (iii) Place the Erlenmeyer flask on the lower half of the burette.

(b) Click and hold the black knob of the burette to quickly add enough standard sodium hydroxide solution to just get into the range of the coarse titration: 1 mL BEFORE the pink endpoint. This is near, but not yet at, the titration's endpoint.

(c) Add sodium hydroxide solution in small increments, down to one drop at a time, record the volume of the pink endpoint.

(d) Place the Erlenmeyer flask and the burette in the recycling bin.

4. Repeat the titration two more times for a total of three trials. Use 30mL of acetic acid for trial 2 and 35mL for trial 3. Calculate the acid concentration of each trial.
[If you run out of NaOH, simply prepare a second solution as described in step 2 of Exp. 1. You don’t need to standardize it a second time. Assume the standardized concentration is the same as before.]

Need help with the following!

Trial 1              Trial 2              Trial 3

a) Volume of acid (mL)                                     25.1mL             30.1mL            35.1mL

b) Volume of NaOH titrated (mL)                     _____              _____              _____

c) Moles of NaOH titrated                                 _____              _____              _____

d) Moles of acid                                               _____              _____              _____

e) Concentration of acid (M)                             _____              _____              _____

f) Average acid concentration (M)                                             _____

Using your Trial 1 data, show you work for calculating each of the following:

Moles of NaOH titrated

Moles of acid

Concentration of acid

Questions

1. Similar to other acids you've encountered in this class (HCl, HNO₃, etc.), benzoic acid is monoprotic (HA), meaning that only one of its hydrogens dissociates in water. With this in mind, write the net ionic equation for the reaction performed during this titration (as discussed in lecture).  

2. After dissolving the acid with water, a student noticed some undissolved solid, but continued with the titration as instructed by the procedure. He titrated until the pink color persisted for 30 seconds and recorded the volume of titrant required. Preparing for the second determination, he set the reaction solution aside and added some more NaOH to the buret. He was about to pour the reaction solution down the drain, so he could rinse and reuse the flask, when he saw that the pink color had disappeared!

a) What happened?

b) What can the student do to correct this error and salvage this trial, so he doesn't have to redo it? What corrections or modifications will have to be made to his recorded data?

3. Another student began adding titrant to the acid solution, but stopped when she suddenly realized that she forgot to add the 3 drops of phenolphthalein. When she did, the solution immediately turned dark red!

a) What happened?

b) What can the student do to correct this error and salvage this trial, so she doesn't have to redo it? What corrections or modifications will have to be made to her recorded data?

A physiological experiment was concluded to study the effect of various factors on a pulse rate. The participants took their own pulse. They then were asked to flip a coin. If their coin came up head, they were to run in place for 1 minute. Then everyone took their own pulse again. The dataset pulse.txt, available from Moodle, contains the following variables:
ROW- id numbers, from 1 to 92;

PULSE1- first pulse rate;

PULSE2- second pulse rate;

RAN-1=ran in place, 2 =did not run;

SMOKES-1=smokes regularly, 2=does not smoke regularly;

SEX-1=male, 2=female;

HEIGHT-height in inches;

WEIGHT-weight in pounds;

ACTIVITY-usual level of physical activity: 1=slight, 2=moderate, 3=a lot.

Use this data for the following questions.
(a) Find the histograms for pulse2, weight and height; Are they symmetrically distributed?

(b) Find the sample mean and sample standard deviation for pulse1.

(c) Construct a scatter plot between weight and height, categorized by male and female. What pattern have you observed?

Pulse.dat:

-----------------------------------------------------------------------------------------------------------------------------------------------------

1 64 88 1 2 1 66.00 140 2

2 58 70 1 2 1 72.00 145 2

3 62 76 1 1 1 73.50 160 3

4 66 78 1 1 1 73.00 190 1

5 64 80 1 2 1 69.00 155 2

6 74 84 1 2 1 73.00 165 1

7 84 84 1 2 1 72.00 150 3

8 68 72 1 2 1 74.00 190 2

9 62 75 1 2 1 72.00 195 2

10 76 118 1 2 1 71.00 138 2

11 90 94 1 1 1 74.00 160 1

12 80 96 1 2 1 72.00 155 2

13 92 84 1 1 1 70.00 153 3

14 68 76 1 2 1 67.00 145 2

15 60 76 1 2 1 71.00 170 3

16 62 58 1 2 1 72.00 175 3

17 66 82 1 1 1 69.00 175 2

18 70 72 1 1 1 73.00 170 3

19 68 76 1 1 1 74.00 180 2

20 72 80 1 2 1 66.00 135 3

21 70 106 1 2 1 71.00 170 2

22 74 76 1 2 1 70.00 157 2

23 66 102 1 2 1 70.00 130 2

24 70 94 1 1 1 75.00 185 2

25 96 140 1 2 2 61.00 140 2

26 62 100 1 2 2 66.00 120 2

27 78 104 1 1 2 68.00 130 2

28 82 100 1 2 2 68.00 138 2

29 100 115 1 1 2 63.00 121 2

30 68 112 1 2 2 70.00 125 2

31 96 116 1 2 2 68.00 116 2

32 78 118 1 2 2 69.00 145 2

33 88 110 1 1 2 69.00 150 2

34 62 98 1 1 2 62.75 112 2

35 80 128 1 2 2 68.00 125 2

36 62 62 2 2 1 74.00 190 1

37 60 62 2 2 1 71.00 155 2

38 72 74 2 1 1 69.00 170 2

39 62 66 2 2 1 70.00 155 2

40 76 76 2 2 1 72.00 215 2

41 68 66 2 1 1 67.00 150 2

42 54 56 2 1 1 69.00 145 2

43 74 70 2 2 1 73.00 155 3

44 74 74 2 2 1 73.00 155 2

45 68 68 2 2 1 71.00 150 3

46 72 74 2 1 1 68.00 155 3

47 68 64 2 2 1 69.50 150 3

48 82 84 2 1 1 73.00 180 2

49 64 62 2 2 1 75.00 160 3

50 58 58 2 2 1 66.00 135 3

51 54 50 2 2 1 69.00 160 2

52 70 62 2 1 1 66.00 130 2

53 62 68 2 1 1 73.00 155 2

54 48 54 2 1 1 68.00 150 0

55 76 76 2 2 1 74.00 148 3

56 88 84 2 2 1 73.50 155 2

57 70 70 2 2 1 70.00 150 2

58 90 88 2 1 1 67.00 140 2

59 78 76 2 2 1 72.00 180 3

60 70 66 2 1 1 75.00 190 2

61 90 90 2 2 1 68.00 145 1

62 92 94 2 1 1 69.00 150 2

63 60 70 2 1 1 71.50 164 2

64 72 70 2 2 1 71.00 140 2

65 68 68 2 2 1 72.00 142 3

66 84 84 2 2 1 69.00 136 2

67 74 76 2 2 1 67.00 123 2

68 68 66 2 2 1 68.00 155 2

69 84 84 2 2 2 66.00 130 2

70 61 70 2 2 2 65.50 120 2

71 64 60 2 2 2 66.00 130 3

72 94 92 2 1 2 62.00 131 2

73 60 66 2 2 2 62.00 120 2

74 72 70 2 2 2 63.00 118 2

75 58 56 2 2 2 67.00 125 2

76 88 74 2 1 2 65.00 135 2

77 66 72 2 2 2 66.00 125 2

78 84 80 2 2 2 65.00 118 1

79 62 66 2 2 2 65.00 122 3

80 66 76 2 2 2 65.00 115 2

81 80 74 2 2 2 64.00 102 2

82 78 78 2 2 2 67.00 115 2

83 68 68 2 2 2 69.00 150 2

84 72 68 2 2 2 68.00 110 2

85 82 80 2 2 2 63.00 116 1

86 76 76 2 1 2 62.00 108 3

87 87 84 2 2 2 63.00 95 3

88 90 92 2 1 2 64.00 125 1

89 78 80 2 2 2 68.00 133 1

90 68 68 2 2 2 62.00 110 2

91 86 84 2 2 2 67.00 150 3

92 76 76 2 2 2 61.75 108 2

An investigator conducts an experiment involving the effects of three levels of a drug on memory. 12 subjects are randomly assigned to one of three conditions (0mg, 15mg, 30mg). A different drug level is administered in each condition. Memory is measured 10 minutes after each subject receives the drug. The following scores are recorded. The higher the score, the better the memory.

0mg Drug

6, 10, 8, 11

15mg Drug:

9, 7, 9, 11

30mg Drug:

13, 15, 14, 19

What is the:

A. SS_within = _________?

B. SS_between = _________?

C. df_within = _________?

D. df_between = ________?

E. df_total = _________?

F. MS_within= _________?

G. MS_between = _________?

H. F_obt = _________?

I. Using α = 0.05, F_crit = _________?

J. Using α = 0.05, what do you conclude?

the following are the scores of 25 students who participated in a psychology experiment. The scores represent the number of trials required to complete a memorization test.

12, 10, 12, 11, 6, 15, 14, 17, 9, 12, 13, 8, 7, 15, 14, 15, 18, 19, 14, 10, 14, 14, 16, 8, 9

Based on these data, the z score for generated for a person with a raw score of 6 is___ and their percentile is___

An experiment consists of reaching into a hat with six chips of identical size and shape, except two each are marked with 2, 3, or 4. Two chips are grabbed and the total of the chips is determined. (Hint: there are 6 choose 2ways to grab two in the Space, S) Some possible Events are E =( the total is odd )and F {6 8} a) Build a PMF (an assignment, because an actual function is not possible). b) Find P(E)  . c) Find P (E if F) . 4pts

The following questions were not following an experiment. They are able to be answered without more information.

2. In free-raducal halogenation reaction, one can predict the relative amounts of the possible products using a simple equation: (probability factor to form a given product)x(reactivity factor)=relative amount of that product For example: consider the monochlorination of propane. Two products are possible: 1-chloropropane and 2- chloropropane. Replacing any of the six 1 hydrogen gives 1- chloropropane and replacing either of the two 2 hydrogens will give 2- chloropropane. Therefore, the probability factor for forming 1- chloropropane is 6 and the probability factor forming 2- chloropropane is 2. The relative reactivity factors for chlorine are, for 1, 2, and 3 C-H bonds, 1.0, 3.5, and 5.0, respectively. If butane is subjected to free-radical chlorination, what would be the relative ratios of 1- chlorobutane and 2- chlorobutane?

3. Calculate the relative product ratios for the free-radical bromination of butane. The reactivity factor for 1, 2, and 3 C-H bonds with bromine are 1.0, 82, and 1600, respectively.

4. Calculate the relative ratios of products for the monochlorination of 2-methylpropane. Remember to determine how many ways a particular product could be produced (how many different hydrogens could be replaced to give the same product). Hint: Drawing out the starting material and the possible products may be helpful.

5. Calculate the relative ratios of products for the monochlorination of 2,4-dimethylpropane. Remember to determine how many ways a particular product could be produced (how many different hydrogens could be replaced to give the same product). Hint: Drawing out the starting material and the possible products may be helpful.