The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomizationdistribution.Test Ho : P = P2 vs H, : P < Pz when the samples have n = 160with p, = 0.16, and ng = 80 with p, = 0.21. The standarderror of p,- P2 trom the randomization distribution is 0.05.%3DFind the value of the standardized z-test statistic.Round your answer to two decimal places.

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Answered: The following is a set of hypotheses,…

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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The average growth of a certain kind of tree is 1.63 inches in three years. A biologist claims that a new kind will have greater three-year growth. A random sample of 25 of the new variety has an average three-year growth of 3.56 inches and a variance of 11.77 inches. The test statistic is: (write only the number in the blank round it to 4 decimal points if needed) Answer: Next page
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, 81 = 7.55 Sample 2: n2 = 3, x2 = 21.9, 82 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
Sham Treatment 5. Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 27 n 27 0.42 0.47 1.38 0.95 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pa than those given a sham treatment. What are the null and alternative hypotheses? O A. Ho: H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There (2). sufficient evidence to support the claim that those (1). treated with…
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
Eemaining Time: 1 hour. 37 minutes, 54 seconds. Question Completion Status: QUESTION 10 A normally distributed random variable X with variance o = 400 and P(X> 130) = 0.6554. Then the mean of X is O 122 O 138 O 120 O 290 QUESTION 11 For the given data in stem-and- leaf display form, find the inter-quartile range. 3.2 | 4579 3.3 | 02558 3.4 | 45789 3.5 | 11678 3.6 | 0268 O 2.5 O 0.28 O 0.31
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 results of a state mathematics test for random samples of students taught by two different teachers at the same school are shown below. Can you conclude there is a difference in the mean mathematics test scores for the students of the two teachers? Use α = 0.01. In addition, assume the populations are normally distributed and the population variances/standard deviations are not equal. Teacher 1 Teacher 2 ?̅1 = 473 ?̅2 = 459 S1 = 39.7 S2 = 24.5 n 1 = 8 n 2 = 18 a. State the null and alternate hypotheses (write it mathematically) and write your claim. b. Find the test statistic c. Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and…
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Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27 n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
A sample mean is 94, sample size is 27, and population standard deviation is 14 are given. Ho: p=89, Hl: μ#89 and a significance level is 0.10. Use the P-value approach to test the hypothesis. O a z=186; P-value = 0.0314; reject null hypothesis O b. z 186, P-value = 0.0628; reject null hypothesis O c. z=0.36; P-value = 0.7188, do not reject null hypothesis Od. z=0.36, P-value = 0.3594; do not reject null hypothesis

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