Project Introduction to Statistics Due date 19-12-2020 Total marks 15 Q #1                                                                                                                                           (10) The following data indicates that the customer’s purchase include the four different products categories food, sporting goods, photography supplies and dry goods

Project

Introduction to Statistics

Due date 19-12-2020

Total marks 15

Q #1                                                                                                                                           (10)

The following data indicates that the customer’s purchase include the four different products categories food, sporting goods, photography supplies and dry goods. 

4, 2, 5, 8, 8, 10, 1, 4, 8, 3, 4, 1, 1, 3, 4, 1, 4, 4, 5, 4, 4, 4, 9, 5, 4, 4, 10, 7, 11, 4, 10, 2, 6, 7, 10, 5, 4,

6, 4, 6, 2, 3, 2, 4, 5, 4, 11, 1 4, 1, 9, 2, 4, 6, 6, 7, 6, 2, 3, 6, 5, 3, 4, 5, 6, 5, 3, 10, 6, 5, 7, 7, 4, 3, 8,

2, 2, 6, 5, 11, 9, 9, 5, 5, 6, 5, 3, 1, 7,  6, 6, 5, 3, 8, 4, 3, 3, 4, 4, 4, 7, 6, 4, 9, 1, 6, 5, 5, 4, 4, 7, 5, 6,

6, 9, 5, 6, 10, 4, 7, 5, 8, 4, 4, 7, 4, 6, 6, 4, 4, 2, 10, 4, 5, 4, 11, 8, 7, 9, 5, 6, 4, 2, 8, 4, 2, 6, 6, 6, 6, 4,

6, 5, 7, 1, 6, 9, 1, 5, 9, 10, 5, 5, 10, 5, 4, 7, 5, 7, 6, 9, 5, 3, 2, 1, 5, 5, 5, 5, 5, 9, 5, 3, 2, 5, 7, 2, 4, 6,

4, 4, 4, 4, 4, 6, 5, 8, 5, 5, 5, 5, 5, 2, 5, 5, 6, 4, 6, 5, 5, 7, 10, 2, 2, 6, 8, 3, 1, 3, 5, 6, 3, 3, 6, 5, 4, 5, 3,

3, 7, 9, 4, 4, 5, 10, 6, 10, 5, 9, 4, 3, 8, 7, 1, 8, 4, 3, 1, 3, 6, 7, 5, 5, 5, 4, 7, 4, 11, 6, 6, 3, 7, 9, 4, 4, 2,

9, 7, 5,1 6, 6, 8, 3, 8, 4, 4, 1, 9, 3, 9, 3, 4, 2, 9, 5, 5, 7, 10, 5, 3, 4, 7, 7, 6, 2, 2, 4, 4, 4, 7, 3, 5, 4, 9,

2, 3, 4, 3, 2, 1, 6, 4, 6, 1, 8, 1, 4, 3, 5, 5, 10, 4, 4, 4, 6, 9, 2, 7, 9, 4, 5, 3, 6, 5, 5, 3, 4, 6, 5, 7, 3, 6, 8,

3, 6, 1, 5, 7, 7, 5, 4, 6, 6, 6, 3, 6, 9, 5, 4, 5, 10, 1, 5, 5, 7, 8, 9, 1, 6, 5, 6, 6, 4, 10, 6, 5, 5, 5, 1, 6, 5, 6, 4, 7, 9, 10, 2, 6, 4, 4, 6, 11, 9, 5, 4, 4, 3, 5, 4, 6, 2, 6, 7, 3, 5, 6, 7, 4, 5, 4, 6, 9, 4, 3, 3, 6, 9, 4, 3,

7, 5, 6, 11, 4, 4, 8, 4, 2, 8, 2, 4, 2, 3, 6, 5, 1, 10, 5, 9, 5, 4, 5, 1, 4, 9, 5, 4, 4

Consider the above data as sample. Calculate the following:

1. Calculate the average purchase.
2. Using 2^k > n rule construct the groups of above data.  iii)      Construct and interpret the histogram.

iv) Is there any outlier in this data?

Q # 2                                                                                                                       (5)

Pfizer, Inc., a major U.S. pharmaceutical company, is developing a new drug aimed at reducing the pain associated with migraine headaches. Two drugs are currently under development. One consideration in the evaluation of the medication is how long the painkilling effects of the drugs last. A random sample of 12 tests for each drug revealed the following times (in minutes) until the effects of the drug were neutralized. The random samples are as follows:

Calculate the sample coefficient of variation for the two drugs. Based on the coefficient of variation, which drug has the greater variability in its time until the effect is neutralized?