/*! 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} Q 22. How was your stay? A hotel has 3... [FREE SOLUTION] | 91影视

91影视

How was your stay? A hotel has 30 floors with 40 rooms per floor. The rooms on one side of the hotel face the water, while rooms on the other side face a

golf course. There is an extra charge for the rooms with a water view. The hotel manager wants to survey 120 guests who stayed at the hotel during a convention about their overall satisfaction with the property.

(a) Explain why choosing a stratified random sample might be preferable to an SRS in this case. What would you use as strata?

(b) Why might a cluster sample be a simpler option? What would you use as clusters?

Short Answer

Expert verified

Part (a) It allows us to take into account the opinion based on the type of room if the strata are the type of rooms.

Part (b) Floor level.

Step by step solution

01

Part (a) Step 1: Given information

A hotel has 30 floors, each with 40 rooms. On one side of the hotel, accommodations overlook the ocean, while on the other, rooms overlook a golf course. The accommodations with a view of the water are more expensive. The hotel manager wishes to poll 120 convention attendees about their overall satisfaction with the property.

02

Part (a) Step 2: Concept

Divide the population into groups, or clusters, to select a cluster sample. Pick a few of these clusters at random. The sample includes all of the people in the chosen clusters.

03

Part (a) Step 3: Explanation

In this case, a stratified random sample rather than an SRS might be preferable. Simple random samples are obtained from independent subgroups using stratified random sampling. Simple random sampling involves selecting a sample from which each person has an equal probability of being chosen. A simple random sample requires us to choose 120people from over 1200people. A stratified random sample will necessitate taking smaller samples from distinct subgroups, allowing us to account for a new variable (on which the different subgroups are based). Thus, a stratified random sample is preferable since it allows us to consider opinions based on room type if the strata are room types.

04

Part (b) Step 1: Explanation

Simple random samples are obtained from independent subgroups using stratified random sampling. A cluster sample would be straightforward since, if the subgroups are the floors, only a few floors need to be chosen rather than the entire hotel. Divide the population into groups, or clusters, to select a cluster sample. Pick a few of these clusters at random. The sample includes all of the people in the chosen clusters.

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 91影视!

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

Is yawning contagious?According to the popular TV show Mythbusters, the answer is 鈥淵es.鈥 In the March 9,2005, episode, the Mythbusters team presented the results of an experiment involving 50subjects. All the subjects were placed in a booth for an extended period of time and monitored by hidden camera. Two-thirds of the subjects were given a 鈥測awn seed鈥 by one of the experimenters; that is, the experimenter yawned in the subject鈥檚 presence prior to leaving the room. The remaining subjects were given no yawn seed. What were the results? Of the 16subjects who had no yawn seed, 4 yawned. Of the 34 subjects given a yawn seed, 10 yawned. Adam Savage and Jamie Hyneman, the cohosts of Mythbusters, used these results to conclude that yawning is contagious.

(a) Explain how you could use slips of paper to randomly reassign the subjects to the treatment groups.

(b) Suppose we used your method in (a) to redo the random assignment 50 times. The Fathom dotplot displays the number of subjects in the yawn seed who yawned in each of these random assignments. What conclusion would you draw about whether yawning is contagious? Explain.

Dead trees On the west side of Rocky Mountain National Park, many mature pine trees are dying due to infestation by pine beetles. Scientists would like to

use sampling to estimate the proportion of all pine trees in the area that have been infected.

(a) Explain why it wouldn鈥檛 be practical for scientists to obtain an SRS in this setting.

(b) A possible alternative would be to use every pine tree along the park鈥檚 main road as a sample. Why is this sampling method biased?

(c) Suppose that a more complicated random sampling plan is carried out, and that 35% of the pine trees in the sample are infested by the pine beetle. Can

scientists conclude that 35% of all the pine trees on the west side of the park are infested? Why or why not?

Comparing cancer treatments The progress of a type of cancer differs in women and men. Researchers want to design an experiment to compare three therapies for this cancer. They recruit 500male and 300female patients who are willing to serve as subjects.

(a) Which are the blocks in this experiment: the cancer therapies or the two sexes? Why?

(b) What are the advantages of a randomized block design over a completely randomized design using these 800subjects?

(c) Suppose the researchers had 800male and no female subjects available for the study. What advantage would this offer? What disadvantage?

Sampling frame Ideally, the sampling frame in a sample survey should list every individual in the population, but in practice, this is often difficult.

Suppose that a sample of households in a community is selected at random from the telephone directory. Explain how this sampling method results in under coverage that could lead to bias.

Killing weeds A biologist would like to determine which of two brands of weed killer is less likely to harm the plants in a garden at the university. Before spraying near the plants, the biologist decides to conduct an experiment using 24 individual plants. Which of the following two plans for randomly assigning the treatments should the biologist use? Why?

Plan A: Choose the 12healthiest-looking plants.

Apply Brand X weed killer to all 12of those plants.

Apply Brand Y weed killer to the remaining 12plants.

Plan B: Choose 12of the 24plants at random. Apply

Brand X weed killer to those 12plants and Brand Y

weed killer to the remaining 12plants.

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.