Applications of Testing of HypothesisIndependent random samples selected from two binomial populations produced theresults given in the table5.Sample 1801006.Sample 274100Number of successesSample sizesa. Test Ho: (P₁-P₂)=0, Ha: (P.-P₂)>o, at a=.10b. Suppose n₁ = n₂ =1,000, but the sample estimates P₁, P₂, and p remain the sameas in part a. Test H, (P₁-P₂)-o, H: (p₁ -P₂)>0, at a=.05.Applications of Testing of Hypothesisrandom sample of n = 10 observations yields x=231.7and s² = 15.5. Test the nullhypothesis Ho: o = 20 against the alternative hypothesisH₁: < 20. Use a = .05. What assumptions are necessary for the test to be valid.

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Answered: Applications of Testing of Hypothesis…

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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4. Independent random samples were selected from each of two normally distributed populations, n1 = 6 from population 1 and n2 = 4 from population 2. The data are shown in the following table Sample 1 Sample 2 3.1 4.3 2.3 1.4 1.2 1.7 3.7 8.9 .6 3.4 a. Test Ho: of b. Test Ho: of c. Test Ho: of = ož against H1: oỉ > ož.Usea = .05. ož against H1:of < ož.Usea = .01. ož against H1: of + ož.Usea = .10. %3D
Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, s1 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
The following information is available for two samples selected from independent normally distributed populations. Population A: n1=30 S2/1=25 Population B: n2=30 S2/2=36 a. Which sample variance do you place in the numerator of FSTAT? b. What is the value of FSTAT?
A researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin Valerian Placebo n=6 n=10 n=4 N=20 M=14 M=13 M=9 G=250 T=84 T=130 T=36 ΣX2=3377 SS=60 SS=90 SS=37 a. Using symbols, state the hypotheses for a two-tailed test with α=0.05. b. Locate the critical region. In doing so, determine the degrees of freedom values. c. Calculate the F-ratio.
A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use the five-step model as a guide and write a sentence or two of interpretation for your results. Working Class Middle Class Upper Class 10 11 7 9 10 5 4 5 2 2 2 0 1 0 0
If other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? Question 3 options: The two samples both have n = 15, with sample variances of 20 and 25. The two samples both have n = 15, with variances of 120 and 125. The two samples both have n = 30, with sample variances of 20 and 25. The two samples both have n = 30, with variances of 120 and 125.
A high school conducts a dependent sample experiment to test if there is a difference between the number of times students are absent in the fall and winter months. You have data for the following 5 students: STUDENT FALL WINTER 1 2 3 4 5 2 0 1 2 O What do you conclude about this school's absences? (Assume standard a = 0.05) 2 1 2 4 T O There is no difference between the Fall and Winter months. O There is a statistically significant difference between the Fall and Winter months. There is a difference but it is only somewhat statistically significant. There is not enough data to determine if there is a difference in absences.
A researcher studying air quality in a metropolitan city is interested in testing the claim that less than 20% of people smoke cigarettes to test this claim the researcher collects the following data on a sample of 700 adults and 110 of them smoke cigarettes the following is the data from the study. Sample size= 700 adults Alternative hypothesis= ha:p
1: Two random samples taken from two normal populations yielded the following information: Sample size Sample 1 Sample variance s{ = 45 s = 30 n1 = 9 2 n2 = 31 %3D i. Find the test statistic F
Solve the problem. When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fa/2 and FL can be denoted F1-a/2 - Find the critical values FL and FR for a two-tailed hypothesis test based on the following values: n₁ = 4, n₂ = 8, a = 0.05 0.1703, 5.8898 0.1112, 5.0453 0.0684. 5.8898 O 0.1211, 4.3541
The number of points held by random samples of the NHL's highest scorers of both the Eastern Conference and the Western Conference is shown. At the 0.05 level of significance, can it be concluded that there is a difference in means based on theses data: Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 66 55 62 61 59 61 What is the appropriate null hypothesis for this problem? (u= population mean for this problem) What is the critical Value? What is the test statistics? What is the decision?
Use the data and table below to test the indicated claim about the means of two paired populations (matched pairs). Assume that the two samples are each simple random samples selected from normally distributed populations. Make sure you identify all values. The table below shows the blood glucose of 20 students before breakfast and two hours after breakfast, using a specific insulin dosing formula to cover carbohydrates. Is there compelling statistical evidence that the specific insulin dosing formula is effective in reducing blood glucose levels? Use a significance level of 0.05. We have the differences (gain or loss), but we still need to compute the mean, standard deviation, and know the sample size for the differences (use Excel or Sheets for this computation). Once those are found, we can apply methods that are used for a 1 sample t-test. Student Before Meal After Meal Difference 1 161 114 -47 2 196 88 -108 3 132 80 -52 4 175 96 -79 5 169 112 -57 6 138 137…

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