Assuming that σ1 = 1.6 and σ2 = 1.3, test H0: μ1 − μ2 = 0 versus Ha: μ1 − μ2 > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal plac

Assuming that σ1 = 1.6 and σ2 = 1.3, test H0: μ1 − μ2 = 0 versus Ha: μ1 − μ2 > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal plac

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

(a) Assuming that σ₁ = 1.6 and σ₂ = 1.3, test H₀: μ₁ − μ₂ = 0 versus H_a: μ₁ − μ₂ > 0 at level 0.01.
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z	=
P-value	=

(b) Compute the probability of a type II error for the test of part (a) when μ₁ − μ₂ = 1. (Round your answer to four decimal places.)

(c) Suppose the investigator decided to use a level 0.05 test and wished β = 0.10 when μ₁ − μ₂ = 1. If m = 42, what value of n is necessary? (Round your answer up to the nearest whole number.)
n =

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