Find the mean and standard deviation, Basic Statistics

A travel agency surveyed 38 customers holidaying in Australia who took their spouses on either a skiing or a golfing vacation.  The data comprises amounts (in hundreds of dollars).  The skiing holiday is at Mount Buller in Victoria whereas the golfing holiday is on the Gold Coast in Queensland.

You will now make your data unique by taking the last 4 digits of your student identification number and putting the first two digits at the end of the 'Skiing Holiday' data and the last two digits at the end of the 'Golfing Holiday data.  For example:  If the last 4 digits of your student number are  1234  then put 12 under the value '26' in the 'Skiing Holiday' column and 34 under the value '22' in the 'Golfing Holiday' column.  There will now be a total of 40 values for 40 couples. 

Skiing Holidays ($'00s)

Golfing Holidays ($'00s)

38

24

37

38

29

45

43

19

55

31

41

32

31

44

22

36

21

29

18

32

19

41

23

43

26

37

43

27

32

28

33

21

21

44

16

18

26

22

 

 

Question 1:

a) Show a table that displays all the summary statistics for 'Golfing Holidays' and highlight the values for the mean and standard deviation.

b) Use formula to find the mean and standard deviation for 'Skiing Holidays'.  Write down the formulas shown on the toolbar (to verify that you used the correct formulas).

Question 2:

a) Display a histogram for 'Golfing Holidays' using class widths of 5.  Describe the shape of the distribution in terms of skewness and kurtosis.   What are the values for the skew and for the kurtosis?

b) Display an ogive* for 'Golfing Holidays' and estimate the proportion of holiday makers who spend more than $3,000 on their golfing holiday.

Question 3:

We wish to randomly select eight of the twenty couples from the 'Skiing Holiday' data.  Explain what you must do before you can select the eight couples.  Which Excel technique will you use?  Randomly sample the eight couples and sort the sample data using 'Data-Sort'.  Why is it recommended that the data be sorted?

Question 4:

Of the twenty couples who chose a golfing holiday, 8 couples originated from Japan, 4 from Israel, 5 from India, 1 from Ireland and 1 from Canada.  The twentieth couple is represented by you and your spouse (or friend if you are not married) so you will need to put yourself in one of the categories or create a new category (showing your country of origin). Show two different ways of displaying this information to best advantage (one of these displays must not be a frequency distribution).

Question 5:

  a)  It has been determined from past golfing data that the number of hours a couple spend playing golf per day is normally distributed with a mean of 5 and a standard deviation of 2. Use an appropriate Excel function (ƒx) to determine the probability that a couple spend more than 6 hours playing golf per day.  Write down the formula shown in the shortcut tool bar.

 b)  Snowfalls occur randomly and independently over the course of winter on Mount Buller.  The average is one snowfall every three days.  Find the probability of a snowfall the day you and your friend plan to ski.  Use an appropriate Excel function (ƒx) and write down the formula shown in the shortcut tool bar.

Question 6:

Can we infer that skiers and golfers differ in their vacation expenses? Test at the 1% level of significance. Highlight the relevant critical value or p-value and the test statistic.

Posted Date: 2/21/2013 1:13:24 AM | Location : United States







Related Discussions:- Find the mean and standard deviation, Assignment Help, Ask Question on Find the mean and standard deviation, Get Answer, Expert's Help, Find the mean and standard deviation Discussions

Write discussion on Find the mean and standard deviation
Your posts are moderated
Related Questions
A company determines that the profit (P) in Pula and the advertising expenditure (e) in Pula have a linear relationship. a) Find an equation of linear relationship

VK Ltd a multi-product Company, furnishes you the following data relating to the year 2000 First Half of the year Second Half of the year Sales Rs. 45,000 Rs. 50,000 Total Co

#questionw..what is ment by resolance tube

How many different starting lineups of 5 basketball players can be chosen from a squad of 13 players?

How to solve problems of index number fixed based method

16 people to line-up ( 12 boys 4 girls). in how many ways could they line-up with all 4 girls in last (anyorder)?

A survey was done where a random sample of people 18 and over were asked if they preferred comedies, dramas, or neither. The information gathered was broken down by age group and t

i) For a 3 term averagin filter, write a difference eqatuon governing the filter and dervie the corresponding z transform Sketch a pole zero plot, would this filter be stable, why

Obligations showing the responsibility to pay for solutions or products that have been suffered or obtained but not compensated for by the end of the sales interval.

1. Sketch and explain different regions of a pressure-volume diagram of a full cardiac cycle. 2. Sketch and explain the relationship between cardiac output and end-diastolic vol