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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A special diet was given to a species of birds and the gain in weight (in grams) over a 5-week period was measured. The following are the summary statistics for a random sample of 30 birds: 5-number summary: 55, 90, 105, 120, 155.What is the most likely shape of the distribution?
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;…
Based from the values of central tendency for elemental analysis, determine whether the distribution is symmetrical, positively skewed, or negatively skewed: Mean 35 ppm, median 40 ppm, mode 43 ppm
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The normal distribution plays an important role in statistics. Write a briefdescription on each of the following aspects: i) the key features of a normaldistribution; ii) two variables which occur naturally as a normal distribution; iii) a variable where you would prefer to use the median as the measure of centraltendency.
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According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…
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