In a newspaper's survey of 483 people, 54.2% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Usee normal distribution as an approximation to the binomial distribution. Use the display and a 0.05 significance level to complete parts (a) through (e).proportion: 0.5424431SampleTest Statistic, z: 1.8656Critical z: +1.9600P-value: 0.0621a. Is the test two-tailed, left-tailed, or right-tailed?Choose the correct answer below.Oright-tailedO left-tailedtwo-tailedb. What is the test statistic?z= 1.87(Round to two decimal places as needed.)c. What is the P-value?P-value = 0.062(Round to three decimal places as needed.)d. What is the null hypothesis, and what do you conclude about it?CThe null hypothesis is H₁: p. where p denotes the population proportion of people who say that we should replace passwords with biometric security.(Type an integer or a decimal. Do not round.)the null hypothesis. Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses totest the claim that buttered toast will land with the buttered side down 50% of the time.Ho pH, P(Type integers or decimals. Do not round.)Identify the test statistic2N(Round to two decimal places as needed)Identify the P-valueP-value(Round to three decimal places as needed.)State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.the null hypothesis. Theresufficient evidence tothe claim that buttered toast will land with the buttered side down 50%of the timeWrite a conclusion that addresses the test that the toat will land with the buttered side down more than 50% of the timeThe intent of the experiment was to test Ho: Pand H, pBased on these results, therebuttered toast will land with the buttered side down more than 50% of the time.(Type integers or decimals. Do not round.)sufficient evidence to support of the claim that

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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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According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e). Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is µ, kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o, = kg. (Round to four decimal places as needed.) Interpret these answers in context. For the brain weights have a normal distribution with a mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is µ;…
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