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.

Phenolphhalein indicator is used in this experiment because it changes color in the pH range of 8.0 to 9.6.

Show by calculation that phenolphthalein is an acceptable indicator for the titration of KHP with NaOH.

This is true if the pH at the equivalence point falls within this range.

In essence, what you need to do is to calculate the pH of the unprotonated phthalate salt. You may assume that the concentration of the salt is approximately 0.05 M at the equivalance point.

HINT: The salt is derived from the weak diprotic acid, which has Ka1 = 1.2 * 10^-3 and Ka2 = 3.9 * 10^-6

This question is for a laboratory experiment titled "Determination of the Solubility Product Constant of Calcium Hydroxide" where a saturated solution of Ca(OH)₂ in water was titrated with HCl.

Part 1 Data - Saturated Solution of Ca(OH)₂ in Water:

Volume of Ca(OH)₂ aliquot: 25.00mL

Concentration of standard HCl: 0.1342M

Indicator Used: Bromothymol Blue

Average volume of HCl to reach end point: 7.71mL

a. Write a balanced, net ionic equation for the titration reaction. Use this equation to perform the subsequent calculations.

b. Calculate the [OH^-] in the standard Ca(OH)₂ solution (using the NET ionic equation).

c. Determine the experimental solubility of the Ca(OH)₂ (in mol/L).

d. Determine the experimental K_sp of Ca(OH)₂.

Please explain steps/show equations! Thank you.

This question is for a laboratory experiment titled "Determination of the Solubility Product Constant of Calcium Hydroxide" where a saturated solution of Ca(OH)₂ in 0.02523M NaOH was titrated with HCl.

Part 2 Data - Saturated Solution of Ca(OH)₂ in 0.02523M NaOH:

Volume of Ca(OH)₂/NaOH aliquot: 25.00mL

Concentration of standard HCl: 0.1342M

Indicator Used: Bromothymol Blue

Average volume of HCl to reach end point: 10.26mL

a. Calculate the TOTAL [OH^-] in the saturated solution of Ca(OH)₂ in sodium hydroxide for the solution assigned (Ca(OH)₂ in 0.02523M NaOH).

b. Calculate the [OH^-] that comes from the dissolution of Ca(OH)₂. The total [OH^-] (calculated above) is the sum of the [OH^-] from the NaOH and the [OH^-] from Ca(OH)₂.

c. Calculate the solubility of Ca(OH)₂ in the NaOH solution (in mol/L).

d. Calculate the experimental K_sp of Ca(OH)₂ for the saturated solution of Ca(OH)₂ in NaOH.

Please explain steps/show equations! Thank you.

An experiment was conducted to determine the effect of children participating in a given meal preparation on calorie intake for that meal.   Data are recorded below. Save the data to a format that can be read into R. Read the data in for analysis. Use R to calculate the quantities and generate the visual summaries requested below. You will lose points if you are not utilizing R.

(1) Summarize the data by whether children participated in the meal preparation or not. Use an appropriately labelled table to show the results. Also include a graphical presentation that shows the distribution of calories for participants vs. non-participants. Describe the shape of each distribution and comment on the similarity (or lack thereof) between the distributions in each population. (2 points)

(2) Does the mean calorie consumption for those who participated in the meal preparation differ from 425? Formally test at the alpha = 0.05 level using the 5 steps outlined in the module. (6 points)

(3) Calculate a 90% confidence interval for the mean calorie intake for participants in the meal preparation. Interpret the confidence interval. (4 points)

(4) Formally test whether or not participants consumed more calories than non-participants at the alpha = 0.05 level using the 5 steps outlined in the module. (6 points )

(5) Are the assumptions of the test used in (4) met? How do you know? (2 points)

Data Set for Assignment 2

Calorie Intake for participants

Calorie intake for non-participants

A coil has N turns enclosing an area of A . In a physics laboratory experiment, the coil is rotated during the time interval Δt from a position in which the plane of each turn is perpendicular to Earth's magnetic field to one in which the plane of each turn is parallel to the field. The magnitude of Earth's magnetic field at the lab location is B .

Part A

What is the magnitude Φinitial of the magnetic flux through the coil before it is rotated?

Part B

What is the magnitude Φfinal of the magnetic flux through the coil after it is rotated?