/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 135 How much does the typical Americ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

How much does the typical American family spend to go away on vacation each year? Twenty-five randomly selected households reported the following vacation expenditures (rounded to the nearest hundred dollars) during the past year:

Short Answer

Expert verified
The solution to this problem would require the given expenditures, as these values were not mentioned a definite mean cannot be provided. However, the procedure involved could be followed as described in the step-by-step solution.

Step by step solution

01

Data Organization

Organize the data in a list or a column for ease of calculation.
02

Calculation of Total Expenditure

Add all the reported vacation expenditures together to get the total yearly expenditure for all households.
03

Calculation of Mean expenditure

Divide the total expenditure from step 2 by the number of households (25 in this case) to find the average or mean vacation expenditure.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Data Organization
When dealing with data, it's important to have a clear and well-structured approach, especially if you are trying to make calculations or conclusions based on that data. One of the first steps in working efficiently with data, such as our example of vacation expenditure, is organization. Listing data in a clear and concise manner helps to identify and eliminate errors as well as make subsequent analysis easier. Organizing data typically involves placing it in a structured format. This could mean entering it into a spreadsheet, writing it in a list, or displaying it in a column. Well-organized data looks neat and uniform. Each entry should be clear, with numerical data aligned in rows or columns. This helps when teaching calculations, such as summing totals or finding averages. It also enables easy checking of each entry, which is crucial for accurate calculations later on.
Vacation Expenditure
Vacation expenditure analysis helps families and policymakers understand spending patterns. It's an insightful way to review how much families typically invest in relaxation and travel each year. In our exercise, we analyzed how much money twenty-five American families spent on vacations in a given year. Such information is crucial because it reflects economic conditions and consumer behavior. Understanding these expenditures allows families to plan their budgets better. It helps in making informed decisions about future trips. Furthermore, for businesses in the travel industry, analyzing such data can reveal trends and help tailor services to meet consumer demands.
Random Sampling
Random sampling is a statistical technique used to gather a subset of data from a larger population. It ensures each member of the population has an equal chance of being included. This method is often more practical and cost-effective compared to surveying the entire population. In our exercise, twenty-five households were selected randomly to report their vacation expenses. This is an example of random sampling in action. Using random sampling helps achieve a diverse set of data points, which can lead to more reliable averages and insights. For example, by sampling randomly, we minimize biases, such as only surveying households from a specific region or economic background, thus making the results more reflective of the general population.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Assume that the annual earnings of all employees with CPA certification and 6 years of experience and working for large firms have a bell-shaped distribution with a mean of \(\$ 134,000\) and a standard deviation of \(\$ 12,000\). a. Using the empirical rule, find the percentage of all such employees whose annual earnings are hetween i. \(\$ 98,000\) and \(\$ 170,000\) ii. \(\$ 110,000\) and \(\$ 158,000\) "b. Using the empirical rule, find the interval that contains the annual earnings of \(68 \%\) of all such employees.

The following data give the numbers of driving citations received by 12 drivers. \(\begin{array}{llllllllllll}4 & 8 & 0 & 3 & 1 & 17 & 4 & 1 & 48 & 1 & 37 & 9\end{array}\) a. Find the mean, median, and mode for these data. b. Calculate the range, variance, and standard deviation. c. Are the values of the summary measures in parts a and b population parameters or sample statistics?

The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. \(\begin{array}{rrrrrrrr}5 & 10 & 8 & 7 & 25 & 12 & 5 & 14 \\ 11 & 10 & 21 & 9 & 8 & 11 & 18 & \end{array}\) a. Compute the values of the three quartiles and the interquartile range. b. Calculate the (approximate) value of the 82 nd percentile. c. Find the percentile rank of 10 .

Refer to Exercise 3.93. The following data represent the numbers of minor penalties accrued by each of the 30 National Hockey League franchises during the 2007-08 regular season. \(\begin{array}{llllllllll}318 & 336 & 337 & 339 & 362 & 363 & 366 & 369 & 372 & 375 \\ 378 & 381 & 384 & 385 & 386 & 387 & 390 & 393 & 395 & 403 \\ 405 & 409 & 417 & 431 & 433 & 434 & 438 & 444 & 461 & 480\end{array}\) Prepare a box-and-whisker plot. Are these data skewed in any direction?

Consider the following two data sets. \(\begin{array}{llllrl}\text { Data Set I: } & 12 & 25 & 37 & 8 & 41 \\ \text { Data Set II: } & 19 & 32 & 44 & 15 & 48\end{array}\) Notice that each value of the second data set is obtained by adding 7 to the corresponding value of the first data set. Calculate the mean for each of these two data sets. Comment on the relationship between the two means.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.