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Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 44, and a sample standard deviation of S₁ = 6, and you have an independent sample of n₂ = 15 from another population with a sample mean of X₂ = 32 and the sample standard deviation S₂ = 5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: #1 = H2? ISTAT = 4.93 (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? 20 degrees of freedom (Simplify your answer.) c. Using a significance level of x = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: H₁ H₂ against the alternative H₁: H₁> H₂? The critical value is (Round to two decimal places as needed.)

Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 44, and a sample standard deviation of S₁ = 6, and you have an independent sample of n₂ = 15 from another population with a sample mean of X₂ = 32 and the sample standard deviation S₂ = 5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: #1 = H2? ISTAT = 4.93 (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? 20 degrees of freedom (Simplify your answer.) c. Using a significance level of x = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: H₁ H₂ against the alternative H₁: H₁> H₂? The critical value is (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 44, and a sample standard deviation of S₁ = 6, and you have an independent sample of n₂ = 15 from another population with a sample mean of X₂ = 32 and the sample standard deviation S₂ = 5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: #1 = H₂? tSTAT = 4.93 (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? 20 degrees of freedom (Simplify your answer.) c. Using a significance level of α = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: H₁ H₂ against the alternative H₁: H₁> H₂? The critical value is (Round to two decimal places as needed.)
Transcribed Image Text:Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 44, and a sample standard deviation of S₁ = 6, and you have an independent sample of n₂ = 15 from another population with a sample mean of X₂ = 32 and the sample standard deviation S₂ = 5. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: #1 = H₂? tSTAT = 4.93 (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? 20 degrees of freedom (Simplify your answer.) c. Using a significance level of α = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: H₁ H₂ against the alternative H₁: H₁> H₂? The critical value is (Round to two decimal places as needed.)
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