Use the​ t-distribution table to find the critical​ value(s) for the indicated alternative​ hypotheses, level of significance α​, and sample sizes n1 and n2. Assume that the samples are​ independent, normal, and random. Answer parts​ (a) and​ (b).   Ha​: μ1<μ2​, alphaαequals=0.10 n1=6 n2=8 ​(a) Find the critical​ value(s) assuming that the population variances are equal. =   ​(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as​ needed.)   ​(b) Find the critical​ value(s) assuming that the population variances are not equal. = ​(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as​ needed.)

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A: Given that

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Q: Find the critical​ value(s) and rejection​ region(s) for the indicated​ t-test, level of…

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Q: Population 2 Use the given statistics to complete parts (a) and (b). Assume that the populations are…

A: Given: x¯1=45.6n1=29s1=4.1x¯2=42.9n2=23s2=11.8 Hypothesis: H0: μ1=μ2H1: μ1&gt;μ2

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A: Given: n1=28x¯1=45.5s1=5.9n2=15x¯2=43.9s2=12.3α=0.10

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Q: Use the given statistics to complete parts (a) and (b). Assume that the populations are normally…

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A:

Q: Find the critical​ value(s) and rejection​ region(s) for the indicated​ t-test, level of…

A: Solution

Q: Use the given statistics to complete parts (a) and (b). Assume that the populations are normally…

A: Statistic for Difference of two means is given by, t= (45.6-42.9)/√(4.1^2/29)+(11.8^2)/23 =…

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A: n = 28 α = 0.01 Left tailed test

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A: α = 0.02n = 14Two tailed test Degrees of freedom = n - 1 = 14 - 1 = 13

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

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A:

Q: Conduct a test at the α=0.10 level of significance by determining ​(a) the null and alternative​…

A: I have provided manual as well as TI 83 Output match the answer accordingly

Q: Use the given statistics to complete parts (a) and (b). Assume that the populations are normally…

A: given data population 1x¯1  = 48.2s1 = 4.1n1 = 20population 2x¯2  = 45.4s2 = 12.7n2 = 23α =…

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Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A:

Q: Use the given statistics to complete parts (a) and (b). Assume that the populations are normally…

A: Given: n1=20x¯1=48.8s1=7.3n2=15x¯2=46.3s2=11.5α=0.10

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Q: Given a result of t (30) = 1.55 for a one-tailed paired samples t-test, What is the sample size?

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Q: Find the critical​ value(s) and rejection​ region(s) for the indicated​ t-test, level of…

A: Given Two​-tailed t-test, α=0.10​, n=13  degrees of freedom = n-1 =13-1=12

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A: Given, First find the degrees of freedom.

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A: Given :n1=12,n2=14X1=577,X2=591s1=27.5,s2=26.8 Assuming X1 and X2 as mean of the samples.

Q: Find the test statistic for this hypothesis test.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.