please answer and show work 6. Suppose that we are testing Ho: µ = 60 vs. Ha: µ> 60 at the .05 level and we are going to collect 15 pieces of dataand σ =- 1.71. Determine the probability of Type II error for the alternative µ(Alt) = 61.24. (4-decimals)

Understanding the ProblemWe're testing:Null Hypothesis (H₀): µ = 60Alternative Hypothesis (Hₐ): µ…

Answered: 6. Suppose that we are testing Ho: µ =…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

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Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…

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6. Suppose that we are testing Ho: µ = 60 vs. Ha: µ> 60 at the .05 level and we are going to collect 15 pieces of data and σ = - 1.71. Determine the probability of Type II error for the alternative µ(Alt) = 61.24. (4-decimals)