Did the oldest cruise ship have the largest crew size

Assignment Help Basic Statistics
Reference no: EM131033806

Question 1

The times taken to assemble a car in a manufacturing plantfollow a normal distribution with a mean of 20 hours and a standard deviation of 2 hours. Use this information to answer the following questions. Show your working, including an appropriate diagram.

a. Find the probability that a randomly selected car takes between 21 and 24 hours to assemble.

b. Find the probability that the average assembly time for a randomly selected sample of 5 cars manufactured in the plant will be longer than 22 hours.

c. 69% of new cars purchased in Australia have automatic transmission. Find the probability that less than 40 new cars from a random sample of 50 have automatic transmission.

Question 2.

In 2013, a study of 50 cruise ships was undertaken to investigate the variables which determine the crew size of a cruise ship. For each of the 50 cruise ships, information was recorded on their most recent cruise.

Some of the variables recorded on each cruise ship are described below.

Variable Name Variable Description
Ship Name of cruise ship
Age Age of the cruise ship in years as of 2013
Cabins Number of cabins
Passengers Number of passengers on most recent cruise
Crew Number of crew on most recent cruise

The following output was constructed from information recorded on the age and the crew size of the 50 cruise ships in the study. Consider this output for parts a. to f.

Regression Analysis: Crew versus Age
Model Summary

S R-sq R-sq(adj) R-sq(pred)
235.954 49.67% 48.62% 45.38%

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 1301.3 87.2 14.92 0.000
Age -35.74 5.19 -6.88 0.000 1.00

Regression Equation

Crew = 1301.3 - 35.74 Age

310_AGE.png

151_GRAPH.png

1753_FITS.png

a. Comment on the relation between the age of a cruise ship and the number of crew employed on the ship:

b. Did the oldest cruise ship have the largest crew size?

c. What was the approximate age and crew size of the oldest cruise ship?

d. 6 of the cruise ships were 12 years old. What was the approximate crew size of the 12 year old ship with the smallest crew size?

e. The 12 year old cruise ship with the smallest crew size had the largest residual. Calculate the approximate value of this residual, using your results from part d.

f. Write down one reason (referring specifically to relevant part of the output on the previous page) why a linear model may not be a good model for predicting the number of crew required on a cruise ship from the age of the cruise ship:

Question 3

Using appropriate parts of the following output which was constructed using the results of this study to carry out a hypothesis test in the space provided on the following pageto answer this research question:

Descriptive Statistics: PainScoreAfter_Back, PainScoreAfter_Migraine

Variable N Mean SE Mean StDev Minimum Median Maximum
PainScoreAfter_Back 52 5.933 0.155 1.116 3.500 6.000 8.500
PainScoreAfter_Migraine 63 4.999 0.118 0.938 3.000 5.000 7.000

1018_FREQUENCY.png

445_GRAPH.png

Question 4

a. The file, PainScores.mtw, which is available on iLearn, contains some of the data from the study described on page 6. Use these data tocarry out an appropriate hypothesis test to answer this research question above.

b. Copy and paste appropriate Minitab output for this test, along with appropriate graphical summaries onto the following page. All Minitab output should be neatly presented and clearly labelled. Marks will be deducted for summaries which do not have appropriate titles and labels.

c. Write a report addressing the research question above on the page provided.Refer to the document ‘A Guide to Report Writing' and, in particular, to the section headed ‘A Short Guide to Report Writing for STAT170 students' which is provided on iLearn. Your report should be based on the results of an appropriate hypothesis tests as directed in this guide. Your reportnot exceedone A4 page and should be word-processed and presentedon the page provided. It should include the following headings:

Introduction
Methods
Results
Conclusion

Reference no: EM131033806

Questions Cloud

Why was hiroshima such an ideal target for american bombing : Discuss the experiences of one of the central characters in this book - Explain what you think the author's purpose was in telling so many individual anecdotes about life before the bomb.
Entrepreneurs get tremendous satisfaction from : Jennifer stated that entrepreneurs get tremendous satisfaction from ________.
Companies should use investment entry modes : Companies should use investment entry modes whenever possible because they offer the greatest control over business operations.” Do you agree or disagree with this statement? Are there times when other types of market entry offer greater control? Whe..
About the sociology homework : In the late 1800s, Horatio Alger wrote over 100 fictional stories of amazing success from rags-to-riches. Functionalists used Alger's stories to support their belief that failure and success lies squarely on the individual. Does the belief that failu..
Did the oldest cruise ship have the largest crew size : The times taken to assemble a car in a manufacturing plantfollow a normal distribution with a mean of 20 hours and a standard deviation of 2 hours. Use this information to answer the following questions. Show your working, including an appropriat..
Customers sense of ownership and involvement in the process : Jennifer is very passionate about her company's core values and her customers' sense of ownership and involvement in the process of creating their handbags. Which of the following characteristics of a successful entrepreneur does this reflect?
Characteristics associated with successful entrepreneurship : What Jennifer just described demonstrates one of the characteristics associated with successful entrepreneurship—the ability to adapt and __________.
Approach to sales also sets them apart from competition : If their "approach to sales also sets them apart from their competition," it represents what for the members of the 1154 team?
Compute the items for rattlesnake corporation : Compute the following items for Rattlesnake Corporation. Show supporting computations. Round all calculations to the nearest whole dollar.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd