Guide a hypothesis test by establishing Hypothesis, - Type of test, - Decision rule, and conclusion and if necessaryconfidence interval for the value of the parameter.2 The development of synthetic materials, such as nylon, polyester, and latex, and their introduction to the market havesparked much debate about comparing the quality of use and strength of man-made materials against naturalmaterials. A manufacturer of a synthetic fiber says that his product has the same average tensile strength as naturalfibers and the same variability. Samples of 10 synthetic fibers and 12 natural fibers were randomly selected and testedto verify their resistance tobreach. The means and standard deviations of the two samples are given below:Synthetic fiberx=450 kg120 kgS₁-Natural fiberx= 420 kgS₂ = 150 kga significance level of alpha = 0.05, Test the manufacturer's claim.

The data is given as- x¯1=450S1=120n1=10x¯2=420S2=150n2=12

Answered: Guide a hypothesis test by establishing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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only define the parameter and write the null and alternative hypotheses The production line for Glow toothpaste is designed to fill tubes with a mean weight of 6 oz.Periodically, a sample of 35 tubes will be selected in order to check the filling process. Qualityassurance procedures call for the continuation of the filling weight for the population of toothpastetubes is 6 ounces; otherwise the processes will be adjusted. Suppose a sample of 35 toothpaste tubesprovides a sample mean of 6.1 oz and standard deviation of 0.2 oz. State the parameter and both hypotheses to help determine whether the filling process should continue operating or be stopped and corrected.
Pond’s Age-Defying Complex, a cream with alpha-hydroxy acid, advertises that it can reduce wrinkles and improve the skin. In a study published in Archives of Dermatology (June 1996), 33 women over age 40 used a cream with alpha-hydroxy acid for twenty-two weeks. At the end of the study period, 23 of the women exhibited skin improvement (as judged by a dermatologist). B.) Calculate the estimate for this parameter.
Which of the non-parametric test for ordinal data is the best to use in the given scenario? An experiment was conducted to compare the strengths of two types of elastic bandages: one a standard bandage of a specified weight and the other the same standard but treated with a chemical substance. Ten pieces of each were randomly selected from production. Does the treated bandage tend to be stronger than the standard? Table 1. Strength measurements (and their ranks) for 2 types of bandages. STANDARD TREATED 1.21(2) 1.49(15) 1.43(12) 1.37(7.5) 1.35(6) 1.67(20) 1.51(17) 1.50(16) 1.39(9) 1.31(5) 1.17(1) 1.29(3.5) 1.48(14) 1.52(18) 1.42(11) 1.37(7.5) 1.29(3.5) 1.44(13) 1.4(10) 1.53(19) a. Mood median test b. sign test c. Wilcoxon rank-sum test d. Wilcoxon matched-pairs signed-ranks test e. Spearman and Kendall correlation coefficients f. Kruskal-Wallis test
The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.
A homeopathic drug company developed a new drug designed to prevent colds. The company claims there is no difference between the effectiveness for men and women. To test the claim they chose a simple random sample of 100 women and 150 men who participated in the trial.At the end of the study, 56% of the women caught a cold, and 40% of the men caught a cold. Based on these findings we are testing to see if there is a difference in the effectiveness for women and men.a) Define the parameter(s) of interest.b) State the Hypotheses.c) Find the value of the relevant sample statistic using correct notation:_________________________ Based on the randomization distribution below, what is the p-value ____________________
Which non-parametric test for ordinal data is the best to use in the given scenario? In a study by Zuckerman and Heneghan, hemodynamic stresses were measured on subjects undergoing laparoscopic cholecystectomy. An outcome variable of interest was the ventricular end-diastolic volume (LVEDV) measured in mm. A portion of the data appears in the following table. Baseline refers to a measurement taken 5 minutes after induction of anesthesia, and the term '5 minutes' refers to a measurement taken 5 minutes after baseline. Can we conclude that, on the basis of these data, among subjects undergoing laparoscopic cholecystectomy, the average LVEDV levels change? Let a =.01. LVEDV (ml) Subject Baseline 5 minutes 1 51.7 49.3 2 79.0 72.0 3 78.7 67.0 4 80.3 70.4 5 72.0 65.9 6 85.0 84.8 7 79.0 77.7 8 71.3 74.0 9 54.3 58.0 10 58.8 65.0 a. Mood Median Test b. Sign Test c. Wilcoxon Rank Sum Test d. Wilcoxon Matched-Pair Signed-Ranks Test e. Spearman and Kendall Correlation…
A researcher wanted to know whether exercise could alleviate depression. Using Kruskal-Wallis test, the researcher finds the calculated H is smaller than the critical value. What is the correct conclusion from the test result? a. Reject Ho. Exercise does not affect depression level. b. Accept Ho. Exercise does not affect depression level. c. Reject Ho. Exercise affect depression level. d. Ho cannot be rejected. Exercise does not affect depression level.
Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…
An urban community wants to show that the incidence of breast cancer is higher in their locality than in a neighboring rural area. (PCB levels were found to be higher in the soil of the urban community). If you find that in the urban community 20 out of 200 adult women have breast cancer and that in the rural community 10 out of 150 adult women have it, could you conclude, at a significance level of 0.05, that breast cancer is more prevalent in the urban community?1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test statistic is:4. The critical region is:5. Draw the critical region (make decision):6. It can be concluded that:
Determine both critical z-scores corresponding to αα = 0.25 in a two-tail test. neg. crititical z-score = [three decimal accuracy] pos. crititical z-score = [three decimal accuracy]
t=? critical value=? reject/enough evidence/not enough evidence/fail=?
Let X = height of the students in inches Let Y = Foot length of the students in centimeters Complete manual solutions for ANOVA with 8-step procedure using the critical value approach and stating the p-value with interpretation at the 0.01 level of significance. For hypothesis testing of the significance of the linear relationship, show the 8-step procedure t-test (ρ = 0) using the critical value approach and stating the p-value with interpretation at the 0.01 level of significance.

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