Intro. to Stats.    TEST 1 ( Show working )   Name 4 areas…

Intro. to Stats.    TEST 1 ( Show working )   Name 4 areas into which all statistical activities can be divided.                         What is the difference between a Statistic and a Parameter ?                 What is the difference between an Observational Study and an Experiment ?                 Consider the following data: CLASS           FREQ.           Draw a Relative Frequency                                                                            16.5-20.5       5                 Histogram for this data.                                                                            20.5-24.5       4                                                                            24.5-28.5       3                                                                            28.5-32.5       12                                                                            32.5-36.5        6                                                                            36.5-40.5        2               Construct a Cumulative Frequency distribution for the data in question 4.                           Consider the following data: 16, 18, 18, 20, 20, 20, 20, 24, 27, 27, 30, 32, 37, 37, 37, 44, 47. Construct a Dotplot for this data.                         Consider the following data: 46 16 41 26 22 33 44 38 30 22 36 34 63 21 26 18 27 44 31 38 56 62. Construct a Stem and Leaf plot for this data.                                Consider the following data: Contracts 100 Personal Injury 150  Asbestos 50         DUI 40 Other 20.  Construct a Pie Chart for this data.                                 Consider the following data: 80 30 65 60 350 55 400 100 40 300.         Calculate the Mean of this data.               Calculate the 20% Trimmed Mean for the data in question 9.               Calculate the Median for the data in question 9.               Calculate the Inter Quartile Range for the data in question 9.     Consider the following data: 4 has weight 5, 7 has weight 2, 10 has weight 3,         14 has weight 6, 20 has weight 4. Calculate the Weighted Mean for this data.                 Consider the following data: 4 7 8  14 17.         Calculate the Variance of this data.                           Calculate the Standard Deviation of the data in question 14.                 If the units of the data in question 14 were gallons, what would the units of a) Variance and b) Standard Deviation be ?                     Calculate the Coefficient of Variation for the data in question 14.                   Consider sample data with xbar=20 and s=7. Compute a 75% Chebyshev         interval around the sample mean….Hint. Remember 1-1/k2.                 Draw a boxplot for the data in question 9.                         a) All probabilities lie between what two numbers ?                 b) When two dice are rolled, what is the probability that the total showing on               the dice is 10 ?             What does the Law of Large Numbers say ?             If the probability of me being mistaken for Benedict Cumberbatch is 0.0000015 , what are the odds against me being mistaken for him ?        

A 6 year-old girl is brought to your office by her mother be…

A 6 year-old girl is brought to your office by her mother because of a rash. The mother first noticed the rash 1 day ago. The mother reports that several kids in the child’s school have come down with chicken pox but that the child has received all of her immunizations including two doses of the varicella vaccine. You observe the child actively playing with the toys in your waiting room before both the mother and child are brought back. The child has a temperature of 100.4 degrees F, a pulse of 90 beats per minute, a blood pressure of 100/70 mmHg and a respiration rate of 20 breaths per minute. The physical examination is unremarkable except for 20 vesicles on erythematous bases sparsely scattered on the child’s trunk and limbs. Which of the following is the most likely diagnosis?

A 57 year old female with a past medical history of SLE pres…

A 57 year old female with a past medical history of SLE presents with dyspnea. She admits to having a chest cold for the past 10 days. On physical exam, she is diaphoretic with a heart rate of 120 bpm. You order a preliminary CXR which shows an enlarged cardiac shadow, without infiltrate. The most likely diagnosis now is: 

A 53-year-old Caucasian male comes in with a 2-week history…

A 53-year-old Caucasian male comes in with a 2-week history of severe headaches mostly during the night. The patient is pacing while he is talking. During the history taking, he states that the symptoms of pain around one eye last for 30 to 90 minutes in duration. He also states that there is ipsilateral lacrimation, conjunctival injection, and nasal congestion during the attacks. The patient states that he has had these headaches two or more times in a day over a period of several weeks. He cannot point to one thing that triggers them. On examination, the patient has features of partial Horner’s syndrome. His vital signs are temp. 97.0 F, HR 80/min, RR 16/min, BP 126/80 mmHg. The patient’s headache is most likely: