solve c and d only Suppose we are developing a new drug that is supposed to improve the recovery time of an illness.We want to investigate if this is true. We conduct an experiment: we randomize twenty participantsinto two groups of size n = 10 each. In one group, we give the participants the drug. In the othergroup, we give them a placebo. We measure the recovery time of the participants in days. Weobserve the following data:• In the group given the drug, we observe recovery times (yı,..., Y10) = (15, 10, 13, 7,9, 8, 21,9,14, 8), with ĝ1 = 11.4.• In the group given the placebo, we observe recovery times (yı1,..., Y20) = (15, 14, 12, 8, 14, 7, 16,10, 15, 12) with j2 = 12.3.Assume that the data in each group follow Normal(µ1,0²) and Normal(42, o²) distributions respec-tively for the drug and placebo groups, o215. We want to test the following hypothesis:Ho : µ1 – 12 = 0 versus HA: µ1 – 42 < 0,using the test statistic T(Y) = Y1 – Ý2.a)Define the rejection region as {y : ĝı – 2 < c1} where ci is some real value.Calculate the Type I error rate.b)Propose a way to select c1.c)Find ci such that the Type I error rate is at most 0.05.d)Based on the observed data, test the hypothesis. What is your conclusion about theability of the drug to reduce recovery time?

Here, the null hypothesis is that the recovery time of the participants who are treated with either…

Define the rejection region as {y : ı – 2 < ci} where c is some real value. a) Calculate the Type I error rate. b) Propose a way to select c1. c) Find ei such that the Type I error rate is at most 0.05. d) Based on the observed data, test the hypothesis. What is your conclusion about the ability of the drug to reduce recovery time?

Define the rejection region as {y : ı – 2 < ci} where c is some real value. a) Calculate the Type I error rate. b) Propose a way to select c1. c) Find ei such that the Type I error rate is at most 0.05. d) Based on the observed data, test the hypothesis. What is your conclusion about the ability of the drug to reduce recovery time?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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