Find out critical values for hypothesis tests using z-statistic or t-statistic.(a) For a two-tailed test using the normal distribution, find out the critical values based on thefollowing significance levels:(1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.(b) For a one-tailed test using the t-distribution, if the sample size is 20, find out the critical valuesbased on the given significance levels:(1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.(c) For a two-tailed test using thet-distribution, if the sample size is 10, find out the critical valuesbased on the given significance levels:(1) a =0.1, (2) a = 0.05, and (3) a = 0.01.

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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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Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p3. The sample data are x, = 125, n, = 251, x, = 135, and n, = 312. (a) Choose the correct null and alternative hypotheses below. (b) Determine the test statistic. Zo = (Round to two decimal places as needed.) O A. Ho: p, =p, versus H,: p, > P2 O B. Ho: p, =0 versus H,: p, #0 Test the null hypothesis. Choose the correct conclusion (c) Determine the P-value. The P-value is O C. Ho: P, =p2 versus H,: p,
(i) Determine if the hypothesis test is one-tailed or two-tailed. (ii) Find the critical value. Round the answer to at least two decimal places. (iii) Compute the test value. Round the standard deviations and F-score values to at least two decimal places. (iv) Make the decision and summarize the results.
(a) Find the critical value(s) assuming that the population variances are equal. (b) Find the critical value(s) assuming that the population variances are not equal.
(c) For a two-tailed test using the t-distribution, if the sample size is 10, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01. %3D
These are the summary statistics for independent simple random samples from two populations. x1=23, s1=2, n1=10, x2=29, s2=7, n2=25 Left tailed test, significance level is 0.05 or 95% What is the test statistic, critical value, and conclusion for the hypothesis test?
A random sample was selected from a population having a normal distribution. Calculate a 90% confidence interval estimate for for each of the following situations: (a). = 134, n = 10, s = 3.1 (b). = 3,744, n = 120, s = 8.2 (c). = 40.5, n = 9, = 2.9
(b) For a one-tailed test using the t-distribution, if the sample size is 20, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.
For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: µ1 < H2, a = 0.01. Sample statistics: x, = 1215, n, = 45, x2 = 1195, and n2 = 75. Population statistics: 01 = 65 and 02 = 120. (a) The test statistic for H1 - H2 is
A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-test
A two-sample study for the difference between two population means will utilize t-test procedures and is to be done at the 0.05 level of significance. The sample sizes are 23 and 27. The variances are 18 and 36, respectively. What is the upper critical value t, for the rejection region if:(a) the alternative hypothesis is one-sided, and you assume that the population variances are vunequal?(b) the alternative hypothesis is two-sided , and you assume that the population variances are unequal?(c) the alternative hypothesis is one-sided and you assume that the population variances are equal?(d) the alternative hypothesis is two-sided, and you assume that the population variances are equal?
Determine your test statistic: either use a z-test or t-test• There are three key questions to ask: Is the variance of the population known? Is the distribution of the population normal (or approx. normal)? Is the sample size large?1. When the variance is known and either the distribution is normal or sample size is large,use a z-test statistic2. When the variance is unknown and a sample size less than 30, use a t-test statistic aslong as the population is normal (or approx. normal)?
Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.

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