Calculate the value of the unpooled test statistic t in each of the following situations. In each case, assume the null hypothesis is Ho: u, - µ, = 0. (Round your answers to two decimal places.)(a) ×133, S19, n1 = 81; x2 = 31, s2 = 8, n2 = 64%D%Dt =(b) The difference in sample means is 48, s.e.(x, - x2) = 26.t =

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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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To test H0: σ=4.5 versus H1: σ≠4.5, a random sample of size n=14 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=6.7, compute the test statistic. (b) If the researcher decides to test this hypothesis at the α=0.10 level of significance, determine the P-value. (c) Will the researcher reject the null hypothesis?
To test H0: σ=2.1versus H1: σ<2.1, a random sample of size n=21 is obtained from a population that is known to be normally distributed. If the sample standard deviation is determined to be s=1.9, compute the test statistic. χ20 If the researcher decides to test this hypothesis at the α=0.05 level of significance, determine the critical value. Draw a chi-squared distribution and depict the critical region Will the researcher reject the null hypothesis? Why? Choose the correct answer below. A. Yes,because χ20<χ20.95. B. No, because χ20<χ20.95. C.No, because χ20>χ20.95. D. Yes, because χ20>χ20.95
Your null hypothesis is μ = 12 and your alternative hypothesis is μ ≠ 12 for a population with unknown variance. What is the absolute value for the critical test statistic T0 given α = 0.01 and n = 15?
To test H0: σ=1.4 versus H1: σ≠1.4, a random sample of size n=21 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=2.3, compute the test statistic. χ20=3.723.72 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α=0.10 level of significance, determine the critical values. The critical values are χ20.05=nothing and χ20.95=nothing. (Round to three decimal places as needed.) (c) Draw a chi-squared distribution and depict the critical region. Choose the correct graph below. A. A graph with unlabeled horizontal and vertical axes contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right…
The test statistic z=1.42 is obtained when testing the claim that p>4 a) find the p value B) using a significance level that alpha =0.01, should we reject the null hypothesis or fail to reject the null hypothesis
Which of the following can cause the usual OLS t statistics to be invalid (that is, not to have t distributions under H0)?(i) Heteroskedasticity.(ii) A sample correlation coefficient of .95 between two independent variables that are in the model.(iii) Omitting an important explanatory variable.
A sample of n=25n=25 data values randomly collected from a normally distributed population has standard deviation s=2.1s=2.1. We wish to test the null hypothesis H0:σ=1.5H0:σ=1.5 against the alternative hypothesis H1:σ>1.5H1:σ>1.5 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the critical value? Write your answer rounded to 3 decimal places.
A random sample of size 16 from a normal distribution with 0= 3 produced a sample mean of 4.5. a- is the x distribution normal? b-Compute the sample test statistic z under the null hypothesis Ho: u=6.3. c- for H1:u<6.3, estimate the P-value of the test statistic. d-for a level of significance of 0.01 and the hypotheses of parts (b) and (c), do you reject or fail to reject the null hypothesis? Explain.
The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
To test H0: σ=2.2 versus H1: σ>2.2, a random sample of size n=17 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (a) If the sample standard deviation is determined to be s=2.4, compute the test statistic. χ20=nothing (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α=0.01 level of significance, determine the critical value. χ20.01=nothing (Round to three decimal places as needed.) (c) Draw a chi-square distribution and depict the critical region. 3219.04 A graph has a horizontal axis with two labeled coordinates at 19.04 and 32 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then…
o test H0: μ=40 versus H1: μ<40, a random sample of size n=25 is obtained from a population that is known to be normally distributed. If x=37.1 and s=14.8, compute the test statistic of t0 and If the researcher decides to test this hypothesis at the α=0.1 level of significance, determine the critical value.
Find the critical value t alpha/2. 99%; n=17; standard deviation is unknown; population appears to be normally distributed.

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