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Chapter 12: Q.29 (page 765)

Color words (9.3) Explain why it is not safe to use paired t procedures to do inference about the difference in the mean time to complete the two tasks.

Short Answer

Expert verified

The normal requirement has not been satisfied because the data contains an outlier and the distribution is skewed which is also notable from the histogram.

Step by step solution

01

Given Information

02

Explanation

In the question Mr. Starnes designed a study to examine the questions that does the color in which words are printed affect your ability to read them and so the words themselves affect your ability to name the color in which they are printed. Thus, now from the difference calculated in the previous exercise we will construct the boxplot as follows:

Thus, there are three conditions to use the paired t procedures, that is: Random, Normal and Independent. Therefore, the normal requirement has not been satisfied because the data contains an outlier and the distribution is skewed which is also notable from the histogram constructed in previous exercise 28 and the sample size is also less than 30.

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Most popular questions from this chapter

In a clinical trial 30, patients with a certain blood disease are randomly assigned to two groups. One group is then randomly assigned the currently marketed medicine, and the other group receives the experimental medicine. Each week, patients report to the clinic where blood tests are conducted. The lab technician is unaware of the kind of medicine the patient is taking, and the patient is also unaware of which medicine he or she has been given. This design can be described as

(a) a double-blind, completely randomized experiment, with the currently marketed medicine and the experimental medicine as the two treatments.

(b) a single-blind, completely randomized experiment, with the currently marketed medicine and the experimental medicine as the two treatments.

(c) a double-blind, matched pairs design, with the currently marketed medicine and the experimental medicine forming a pair.

(d) a double-blind, block design that is not a matched pairs design, with the currently marketed medicine and the experimental medicine as the two blocks.

(e) a double-blind, randomized observational study.

Two six-sided dice are rolled and the sum of the faces showing is recorded after each roll. Let X=the number of rolls required until a sum greater than 7is obtained. If 100trials are conducted, which of the following is most likely to be part of the probability distribution of X?

Use this linear model to predict the U.S. population in 1890. Show your work.

A large machine is filled with thousands of small

pieces of candy, 40%of which are orange. When money

is deposited, the machine dispenses 60randomly selected

pieces of candy. The machine will be recalibrated if a

group of 60candies contains fewer than18 that are

orange. What is the approximate probability that this will

happen?

a)Pz<0.3-0.4(0.4)(0.6)60

b)Pz<0.4-0.3(0.3)(0.7)60

role="math" localid="1650519113387" c)Pz<0.3-0.4(0.4)(0.6)60

role="math" localid="1650519757907" d)Pz<0.3-0.4(0.4)(0.6)60

e)Pz<0.4-0.3(0.3)(0.7)60

Insurance adjusters are always vigilant about being overcharged for accident repairs. The adjusters suspect that Repair Shop 1quotes higher estimates than Repair Shop 2. To check their suspicion,

the adjusters randomly select 12cars that were recently involved in an accident and then take each of the cars to both repair shops to obtain separate estimates of the cost to fix the vehicle. The

estimates are given below in hundreds of dollars.


Assuming that the conditions for inference are reasonably met, which of the following significance tests could legitimately be used to determine whether the adjusters’ suspicion is correct?

I. A paired ttest

II. A two-sample ttest

III. A t test to see if the slope of the population regression line is 0.

(a) I only

(b) II only

(c) I and III

(d) II and III

(e) I, II, and III
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