a. Suppose a sample of 150 families, with exactly three children, is selected from a larger population offamilies with data as follows:Number of female children per familyFrequency of families2314586216Assuming that genders are independent and probabilities of a male or female child are equal, test thehypotheses, at a = 0.05: Ho: The data follows a binomial distribution versus H,: The data does notfollow a binomial distribution. Include a critical value in your test.

The categorical variable is family. It has 4 categories. We have to test whether the data follows a…

Answered: a. Suppose a sample of 150 families,…

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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Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 53 19 26 Male 54 2 16 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have telepathy?
22)
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 23 15 13 Male 49 53 51 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will have Super Strength? Answer in decimal form. Round to 3 decimal places as needed
21)
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 100 75 54 Male 67 33 9 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have super strength? Answer in decimal form. Round to 3 decimal places as needed
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 47 42 45 Male 44 34 12 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following descriptive statistics (in terms of miles per gallon): Type A Gas Type B Gas ?n 23 17 ?⎯⎯⎯x¯ 29 29 ?s 4 5 (Assume the samples are independent and that the populations are normally distributed with unknown mean and standard deviation) (a) Is there significant evidence to suggest that there is a difference in gas milage? Test this at the ?=0.05α=0.05 significance level. State your conclusions regarding H0 (b) Calculate a 95% confidence interval for the true difference of the means. State your conclusions after calculating the interval.
25. Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 27 99 39 Male 27 95 57 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have super strength? Answer in decimal form. Round to 3 decimal places as
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 73 71 38 Male 61 90 76 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 21 61 74 Male 29 27 85 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations.Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? χ‑2 = 0.19, df = 2χ‑2 = 0.19, df = 5χ‑2 = 0.44, df = 2χ‑2 = 0.44, df = 5
Let?1, ?2,… , ?? be a random sample from the normal distribution with unknownmean,? and known variance, ?2. Using a sufficient statistic for ?, find the UMP test in the class of unbiased tests for testing,?0: ?= ?0 against ?1: ? ≠ ?0 at significance level ?.

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