Find out critical values for hypothesis tests using z-statistic or t-statistic.(a) For a two-tailed test using the normal distribution, find out the critical values based on thefollowing significance levels:(1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.(b) For a one-tailed test using the t-distribution, if the sample size is 20, find out the critical valuesbased on the given significance levels:(1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.(c) For a two-tailed test using thet-distribution, if the sample size is 10, find out the critical valuesbased on the given significance levels:(1) a =0.1, (2) a = 0.05, and (3) a = 0.01.

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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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Sales team of a New Ventures Company is in the process of introducing a new product. As an initial step company conducted a survey of prospective customers. Estimate how large a sample should company take if they want to estimate the proportion of people who will buy the product to within 3%, with 99% confidence. A researcher has taken a random sample of 8 observation from a normal population. Sample mean and standard deviations are 75 and 50 respectively. Using the 6 steps process of hypothesis testing. Can he infer at the 10% significance level that the population mean is less than 100? Can he infer at the 10% significance level that the population mean is less than 100 if population standard deviation is 50? Review the answers in (i) and (ii) and explain why the test statistics differed.
A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25. The upper limit of a 95% confidence interval for the population mean would equal?
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True or false; Hypothesis testing on samples with fewer than 30 participants can be carried out by using the t-value for the corresponding level of significance in place of the zvalue when setting up the decision rule.
The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a left tailed test and an 80% confidence interval. x1=10, n1=30, x2=13, n2=30, significance level = 0.10 What is the test statistic? Identify the critical value(s) for a significance level of 0.10, and what is the conclusion of the hypothesis test

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