Assume that you have a sample of n,8, with the sample mean X, 42, and a sample standard deviation of S, 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂ -35 and the sample standard deviation S₂-6. Complete parts (a) through (d) below. a. What is the value of the pooled-variance ISTAT test statistic for testing Ho: 141 142? ISTAT (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.05, what is the critical value for a one-tail test of the hypothesis Ho: H, 5₂ against the alternative H₁: ₁₂? The critical value is (Round to two decimal places as needed.) d. What is your statistical decision? OA. Do not reject H, because the computed ISTAT test statistic is less than the upper-tail critical value. OB. Reject H, because the computed ISTAT test statistic is greater than the upper-tail critical value. OC. Reject Ho because the computed ISTAT test statistic is less than the upper-tail critical value. OD. Do not reject H, because the computed ISTAT test statistic is greater than the upper-tail critical value.

Assume that you have a sample of n,8, with the sample mean X, 42, and a sample standard deviation of S, 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂ -35 and the sample standard deviation S₂-6. Complete parts (a) through (d) below. a. What is the value of the pooled-variance ISTAT test statistic for testing Ho: 141 142? ISTAT (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.05, what is the critical value for a one-tail test of the hypothesis Ho: H, 5₂ against the alternative H₁: ₁₂? The critical value is (Round to two decimal places as needed.) d. What is your statistical decision? OA. Do not reject H, because the computed ISTAT test statistic is less than the upper-tail critical value. OB. Reject H, because the computed ISTAT test statistic is greater than the upper-tail critical value. OC. Reject Ho because the computed ISTAT test statistic is less than the upper-tail critical value. OD. Do not reject H, because the computed ISTAT test statistic is greater than the upper-tail critical value.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Assume that you have a sample of n, 8, with the sample mean X, 42, and a sample standard deviation of S, = 7, and you have an independent sample of n₂ = 13
from another population with a sample mean of X₂=35 and the sample standard deviation S₂ = 6. Complete parts (a) through (d) below.
a. What is the value of the pooled-variance ISTAT test statistic for testing Ho: H+H2?
ISTAT =
(Round to two decimal places as needed.)
b. In finding the critical value, how many degrees of freedom are there?
degrees of freedom
(Simplify your answer.)
c. Using a significance level of a =0.05, what is the critical value for a one-tail test of the hypothesis Ho: H₁5 ₂ against the alternative H₁: ₁₂?
The critical value is
(Round to two decimal places as needed.)
d. What is your statistical decision?
OA. Do not reject Ho because the computed ISTAT test statistic is less than the upper-tail critical value.
OB. Reject H, because the computed ISTAT test statistic is greater than the upper-tail critical value.
OC. Reject H because the computed tSTAT test statistic is less than the upper-tail critical value.
OD. Do not reject H, because the computed tSTAT test statistic is greater than the upper-tail critical value.

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