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Chapter 10: Q. 10.110 (page 440)

Provide an example (different from the ones considered in this section) of a procedure based on a paired sample being more appropriate than one based on independent samples.

Short Answer

Expert verified

As a result, when compared to the two independent samples test, paired-samples are more appropriate for testing treatment efficacy.

Step by step solution

01

Given information

To illustrate A procedure based on paired samples is more appropriate than one based on independent samples.

02

Explanation

To compare whether a weight loss treatment is effective in reducing weight, we must examine paired samples of weights before and after treatment of a specific sample of people, as this will reveal whether or not there is any effect on reducing weight. In other words, if we consider two independent samples of weights before and after the treatment for the same case of weight loss treatment, we may not get results regarding the test's effectiveness.

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Most popular questions from this chapter

Wing Length. D. Cristol al. published results of their studies of two subspecies of dark-eyed juncos in the article "Migratory Dark-Eyed Juncos, Junes Hyemalix, Have Better Spatial Memory and Denser Hippocampal Neurons than Nommigrtory Conspecifics" Animal behavior, Vol, 66, pp. 317-328). One of the subspecies migrates each year, and the other does not migrate. Several

physical characteristics of 14 binds of each subspecies were measured, one of which was wing length. The following data, based on results obtained by the researchers, provide the wing lengths, in millimeters (mm) for the samples of two subpecies.:

V. Tangpricha et al. did a study to determine whether fortifying orange juice with Vitamin D would result in changes in the blood levels of five biochemical variables. One of those variables was the concentration of parathyroid hormone (PTH), measured in picograms/milliliter ( pg/ml ). The researchers published their results in the paper "Fortification of Orange Juice with Vitamin D: A Novel Approach for Enhancing Vitamin D Nutritional Health" (American Journal of Clinical Nutrition, Vol. 77, pp. 1478-1483). Concentration levels were recorded at the beginning of the experiment and again at the end of 12weeks. The following data, based on the results of the study, provide the decrease (negative values indicate an increase) in PTH levels, in pg/ml, for those drinking the fortified juice and for those drinking the unfortified juice.

At the 5% significance level, do the data provide sufficient evidence to conclude that drinking fortified orange juice reduces PTH level more than drinking unfortified orange juice? (Note: The mean and standard deviation for the data on fortified juice are 9.0pg/mL and 37.4pg/mL, respectively, and for the data on unfortified juice, they are 1.6pg/mLand34.6pg/mL, respectively.)

State one possible advantage of using paired samples instead of independent samples.

In this Exercise, we have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t-lest and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x炉1=20,s1=4,n1=10,x炉2=18,s2=5,n2=15

a. Right-tailed test,伪=0.05

b. 90%confidence interval

Faculty Salaries. Suppose, for Example10.2, you want to decide whether the mean salary of faculty in private institutions is less than the mean salary of faculty in public institutions. State the null and alternative hypotheses for that hypothesis test.
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