Question

In: Statistics and Probability

Question 5: (Marks: 5) A group of students compared the number of times they have been...

Question 5: (Marks: 5)

A group of students compared the number of times they have been to the movies in the past year. The following table illustrates how many times each person went to the movie theatre in each month. You need to show your work.

Jan.

Feb.

Mar.

Apr.

May

June

July

Aug.

Sep.

Oct.

Nov.

Dec.

Eric

1

2

3

5

2

1

3

1

2

1

3

1

Kyle

1

2

1

3

1

2

3

2

2

1

4

2

Stan

1

3

2

2

2

1

5

3

2

2

3

3

Kenny

1

2

1

1

2

2

3

2

3

2

3

2
  1. By comparing modes, which person went to the movies the least per month?
  1. By comparing medians, which person went to the movies the most per month?
  1. Rank the students in order of most movies seen to least movies seen by comparing their means.

  1. Which month, by comparing the means of movies seen in each month, is the most popular movie-watching month?

  1. By comparing medians, which month is the least popular month?

Solutions

Expert Solution

Mode: The most frequent number—that is, the number that occurs the highest number of times.

Mode calculation:

Eric 1(5 times), 2(3 times), 3(3 times), 5(1 time) 1
Kyle 1(4 times), 2(5 times), 3(2 times), 4(1 time) 1
Stan 1(2 times), 2(5 times), 3(4 times), 5(1 time) 2
Kenny 1(3 times), 2(6 times), 3(3 times) 2

Q. By comparing modes, which person went to the movies the least per month?

ans: Eric and Kyle went to the moves least per month

Median: The middle number which one is found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the average of those two numbers).

Median calculation:

Eric 1(5 times), 2(3 times), 3(3 times), 5(1 time) (2+3)/2 = 2.5
Kyle 1(4 times), 2(5 times), 3(2 times), 4(1 time) (2+3)/2 = 2.5
Stan 1(2 times), 2(5 times), 3(4 times), 5(1 time) (2+3)/2 = 2.5
Kenny 1(3 times), 2(6 times), 3(3 times) 2

Q. By comparing medians, which person went to the movies the most per month?

ans: Comparing medians Eric, Kyle and Stan went to the movies the most per month

Mean: The average number, summing over all data points and dividing by the number of number of data points.

Mean calculation:

Jan Feb Mar April May June July Aug Sept Oct Nov Dec
mean (1+1+1+1)/4 = 1 (2+2+3+2)/4 = 2.25 (3+1+2+1)/4 = 1.75 (5+3+2+1)/4 = 2.75 (2+1+2+2)/4 = 1.75 (1+2+1+2)/4 = 1.5 (3+3+5+3)/4 = 3.5 (1+2+3+2)/4 = 2 9/4 = 2.25 6/4 = 1.5 13/4 = 3.25 8/4 = 2

Q. Which month, by comparing the means of movies seen in each month, is the most popular movie-watching month?

ans: By comparing the means of movies seen in each month, the most popular movie-watching month is July

Median table for months:

Jan Feb Mar April May June July Aug Sept Oct Nov Dec
median 1 2 1.5 2.5 2 1.5 3 2 2 1.5 3 2

Q. By comparing medians, which month is the least popular month?

ans: January is least popular month by comparing median.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Question 5 (13 marks) Susan and Tina have been in partnership for several years. They share...
Question 5 Susan and Tina have been in partnership for several years. They share profits and losses equally. On 1 January 2019, Bella was invited to join the partnership. Upon the admission of Bella, No assets were revalued upwards or downwards; Goodwill was valued at $220,000 and no goodwill account was to be opened in the books; and Bella introduced $130,000 into the partnership and brought in additional amount to pay for her share of goodwill. However, they did not...
QUESTION 5 (5 marks) Bennett is concerned that he is not going to have enough money...
QUESTION 5 Bennett is concerned that he is not going to have enough money to retire. He went to a financial adviser who said he should put as much money as possible into superannuation. Bennett is employed at Paflagonia Pty Ltd. He salary sacrificed $20,000 into superannuation. This was in addition to the $10,000 that his employer was legally required to contribute. Bennett also withdrew $300,000 from his bank account to contribute to his superannuation fund. This is the first...
A group of young people were asked how many times they have been stopped and questioned...
A group of young people were asked how many times they have been stopped and questioned by the police:                                                 Non-White            White Mean # of Stops               4.95 .99 Varriance 4.11 6.08 Sample size 155 310 We need t-test in order to determine if Non-White and White young people are stopped by the police at the same rate. You should be sure to specify, and evaluate, both the Null and Alternative Hypotheses. Please show work
An experiment consists of flipping a coin 5 times and noting the number of times that...
An experiment consists of flipping a coin 5 times and noting the number of times that a heads is flipped. Find the sample space SS of this experiment.
The five statistics students (n=5) are compared to a sample of 8 sociology students with regard...
The five statistics students (n=5) are compared to a sample of 8 sociology students with regard to the number of hour they sleep. Here is the data for hours slept: 8, 6, 5, 13, 10 The mean hours slept for sociology students (n=8) is 7.2 with a standard deviation of 1.7. Conduct a t-test to determine if the statistics students sleep a different amount than the sample of sociology students? Be sure to address all four steps of the hypothesis...
Question 5 (10 marks) Tanked Pty Ltd (Tanked) has four directors who have been found guilty...
Question 5 Tanked Pty Ltd (Tanked) has four directors who have been found guilty of insolvent trading under s 588G of the Corporations Act 2001 (Cth). Holly, one of the directors, believes she is not liable as she relied on a financial report prepared by the accounting intern that showed the financial situation of Tanked was good. Bob also believes he is not liable as he stood down from management some months earlier to assist his unwell wife. Richmond also...
Question 5 (10 marks) Tanked Pty Ltd (Tanked) has four directors who have been found guilty...
Question 5 Tanked Pty Ltd (Tanked) has four directors who have been found guilty of insolvent trading under s 588G of the Corporations Act 2001 (Cth). Holly, one of the directors, believes she is not liable as she relied on a financial report prepared by the accounting intern that showed the financial situation of Tanked was good. Bob also believes he is not liable as he stood down from management some months earlier to assist his unwell wife. Richmond also...
Small Group Discussion (Class will be divided into Groups of up to 5 students) We have...
Small Group Discussion (Class will be divided into Groups of up to 5 students) We have made the point that managers often attempt to maximize the contribution margin per unit of a particular resource that limits output capacity. The following are five familiar types of businesses: Small medical or dental practice Restaurants Supermarket. Builder of residential housing. Auto dealer’s service department. Instructions: Within a group of students: Each student will be assigned one of the five familiar types of businesses...
We have to randomly select 2 students for an award from a group of 5 equally...
We have to randomly select 2 students for an award from a group of 5 equally deserving students. Of the five students two are female and three are male.Event C as selecting at least one female. Define event D as awarding only one male, what is the probability of event D? P(C U D) 8. P(C ∩ D) Are C and D disjoint? Explain in detail using sample space if possible. And pls if you use symbols like this: a)...
The question was: Finals are over and the marks are in. For all the students who...
The question was: Finals are over and the marks are in. For all the students who have completed the introductory course to business statistics the distribution of the grades represented a bell-shaped distribution, symmetrical about the average which was 75.90 marks. The standard deviation was 1.40. Given the information above, answer the following questions using the Empirical Rule. For full marks your answer should be accurate to at least two decimal places. a) Approximately what percentage of marks were above...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT