It was desired to compare the effectiveness of two different diets. A random sampleof n = 15 people put onto diet1 had weight losses with X1 = 10 and Sf = 4.3; anda random sample of m = 15 different people put onto diet2 gave weight losses withX2 = 8.3 and S = 5.7. Without deriving the relevant tests, use them to see whetherthese data provide sufficient evidence to indicate that diet1 produces a greater meanweight loss than does diet2.

Given that Sample sizes n1=15 , n2=15 Sample means X̄1=10 , X̄2=8.3 s12 =4.3…

Answered: It was desired to compare the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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The type of alloy used in manufacturing electric wire is important in reducing resistance. It has been suggested that the use of one type of alloy can reduce the wire resistance by more than 0.05 ohm. An experiment was conducted two types of wire, one with the alloy added and a second without the allow added. The mean resistances of 32 samples of each type of wire resulted in a mean resistance of the wire with alloy added being 0.136 ohm and the resistance of the wire without the allow added was 0.083 ohm. The standard deviation associated with this type of experiment is known to be 0.0045 ohm. a) Test the claim that resistance of electric wire can be reduced by more than 0.05 ohm by adding an alloy to the wire. Use a significance value of 0.05. b) Verify the conclusion in part a) with the p-value c) Verify the conclusion in part a) with the appropriate confidence interval Note that in this problem, populations variances are KNOWN. Samples are large enough (greater than 30) that no…
Miller and Vanhoutte (A1) conducted experiments in which adult ovariectomized female mongrel dogs were treated with estrogen, progesterone, or estrogen plus progesterone. Five untreated animals served as controls. A variable of interest was concentration of progesterone in the serum of the animals 14 to 21 days after treatment. We wish to know if the treatments have different effects on the mean serum concentration of progesterone. TABLE 8.2.3 Concentration of Serum Progesterone (ng / dl) in Dogs Treated with Estrogen, Progesterone, Estrogen Plus Progesterone, and in Untreated Controls Treatment Estrogen + Progesterone Untreated Estrogen Progesterone 117 124 40 440 264 221 2664 2078 3584 605 626 385 88 136 475 1540 40 1840 Total 409 1061 2091 11706 15267 Mean 81.80 265.25 522.75 2341.20 848.1667 SOURCE: Virginia M. Miller, Ph.D. Used by permission.
A researcher wanted to examine the effect of a new math study skills program on second graders. Twenty-five students took the new study skills program for six weeks and then took a standardized math exam, which is known to have a population mean score of µ = 80 (this is the mean for the entire population of students who have not taken the new math study skills program). The mean and variance on the exam for the 25 students (who took the new study skills program) are reported below. The mean of the n = 25 students was M = 85 with a sample variance (s2) of 100. Test to see whether the students who took the new study skills program have significantly different test scores than the national average of µ = 80. Use α = .05, 2-tailed. Step 3. Calculate and report the test statistic below. Step 4. Make a decision regarding H0 below (reject H0/Fail to reject H0).

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