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MATLAB: An Introduction with Applications

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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A hypothesis test with a sample of n = 25 participants produces a t statistic of t = 2.53. Assuming a two-tailed test, what would be the correct statistical decision?
O The researcher must fail to reject the null hypothesis with either a = .05 or a = .01.
The researcher can reject the null hypothesis with either a = .05 or a = .01.
O It is impossible to make a decision about Ho without more information.
O The researcher can reject the null hypothesis with a = .05 but not with a = .01.

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Consider the following hypothesis test: H0:μ=20 H1:μ≠20 A sample of 200 items will be taken and the population standard deviation is given as σ=10. Using α=.05, compute the probability of making a Type II error if the population mean is 18. PLEASE SHOW ALL HAND WRITTEN STEPS AND DO NOT USE EXCEL OR ANY SOFTWARE
A sample of n = 25 scores produces a t statistic of t = +2.052. If the researcher is conducting a two-tailed hypothesis test, which of the following is the correct statistical decision? The researcher should reject the null hypothesis with α = .05 but not with α = .01. The researcher should reject the null hypothesis with either α = .05 or α = .01. The researcher should fail to reject the null hypothesis with either α = .05 or α = .01. This is impossible to determine based on the provided information.
Two independent samples have been selected, 7777 observations from population 1 and 5858 observations from population 2. The sample means have been calculated to be ?⎯⎯⎯1=13.4x¯1=13.4 and ?⎯⎯⎯2=11.3x¯2=11.3. From previous experience with these populations, it is known that the variances are ?21=27σ12=27 and ?22=29σ22=29. For the hypothesis test of ?0:(?1−?2)=1.8H0:(μ1−μ2)=1.8 and ??:(?1−?2)≠1.8Ha:(μ1−μ2)≠1.8 Use ?=0.04α=0.04. (a) Compute the test statistic. ?=z= (b) Find the approximate p-value?−?????=p−value= The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=1.8(μ1−μ2)=1.8. B. We can reject the null hypothesis that (?1−?2)=1.8(μ1−μ2)=1.8 and accept that (?1−?2)≠1.8(μ1−μ2)≠1.8.
6
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
A sample has a mean of M = 39.50, a standard deviation of s = 4.30, and produces a t statistic of t = +2.14. For a two-tailed hypothesis test, which of the following is the correct statistical decision for this sample? A. The researcher should reject the null hypothesis with α = .05 but not with α = .01. B. The researcher should reject the null hypothesis with either α = .05 or α = .01. C. The researcher should reject the null hypothesis with α = .01 but not with α = .05. D. This is impossible to determine based on the provided information.
If, in a sample of n = 25 selected from a normal population, X = 57 and S= 10, what is the value of tSTAT if you are testing the null hypothesis Ho: μ = 50? tSTAT = (Type an integer or a decimal.)
Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = $1250. H1:μ ≠ $ 1250 Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.12.
If, in a sample of n = 16 selected from a normal population, X= 51 and S = 8, what is the value of tSTAT if you are testing the null hypothesis Ho: µ= 50? tSTAT = (Type an integer or a decimal.)
Find the P-value for a left-tailed hypothesis test with a test statistic of z = - 1.68. Decide whether to reject H, if the level of significance is a= 0.10. P-value = (Round to four decimal places as needed.) State your conclusion. Choose the correct answer below. O Since P>a, fail to reject Ho- O Since P>a, reject Ho- O Since Psa, fail to reject Ho- OS ince Psa, reject Ho-
4. (This problem is required to submit) Consider the following hypothesis test. H:µ = 20 H.:µ + 20 A sample of 200 items will be taken and the population standard deviation is o = 10. Use a = 0.05. Compute the probability of making a Type II error if the population mean is: a. u =18.0 (33%) (Note: without calculation process, no credit) b. µ= 22.5(33%) (Note: without calculation process, no credit) c. µ=21.0 (34%) (Note: without calculation process, no credit)
Consider the following hypothesis test: Ho: μ> 45 Ha: μ < 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α-.01 and four decimals for p-value questions a. with X = 44 and s = 5.2, the p-value is-select your answer- Can it be concluded that the population mean is less than 45? Select b. with X = 43 and S-4.6, the p-value is | -select your answer Can it be concluded that the population mean is less than 45? Select c. with X = 46 and s-5.0, the p-value is l -select your answer Can it be concluded that the population mean is less than 45? Select

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