The first part of the question is attached. a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in context of the problem)(b) Calculate the test statistic(c) Calculate the critical value.(d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region. An athletic shoe maker wants to test if their new running shoe specially made for sprinting is better thanthe competition. To do this, they recruit 35 NCAA sprinters and time their 100 meter dash wearing thecompany's shoe and then time their 100 meter dash again wearing the competitor's shoe. The differenceof these times is then calculated as Timecompany.shoe – Timecompetitor.shoe. The sample mean differencein times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at the a =0.1 level.

Hi, we are supposed to answer three subparts at a time. Therefore, I am answering the first three…

Answered: The first part of the question is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The first part of the question is attached.

a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in context of the problem)

(b) Calculate the test statistic

(d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region.

An athletic shoe maker wants to test if their new running shoe specially made for sprinting is better than
the competition. To do this, they recruit 35 NCAA sprinters and time their 100 meter dash wearing the
company's shoe and then time their 100 meter dash again wearing the competitor's shoe. The difference
of these times is then calculated as Timecompany.shoe – Timecompetitor.shoe. The sample mean difference
in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at the a =
0.1 level.

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