We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 27 wordsper minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 27.3 words per minute and astandard deviation of 2.6 words per minute.For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Thencalculate that statistic. Round your answers to two decimal places.(a) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of3.3.O It is unclear which test statistic to use.(b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation.O z =O t =O It is unclear which test statistic to use.

Given,sample mean(x¯)=27.3standard deviation(s)=2.6population mean(μ)=27

Answered: We want to conduct a hypothesis test of…

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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Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
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The scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students? 0 1 0 6
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