Beet farmers claim that 76% of vegetarians like beets, while only 41% of carnivores like beets. Suppose arandom samples of 21 vegetarians and 31 carnivores are asked if they like beets. Let P, and P, be thesample proportions of vegetarians and carnivores, respectively, who like beets.Which of the following is the correct shape and justification of the sampling distribution of py- B??bimodal because one population proportion is centered at 0.76, while the other is centered at 0.41approximately Normal because the expected numbers of successes and failures for each sample are all atleast 10not approximately Normal because the expected numbers of successes and failures for each sample areall at least 10O not approximately Normal because the expected numbers of successes and failures for the vegetariangroup are not both at least 10

It is given that For vegetarians, sample size nv = 21, proportion pv = 0.76 For carnivores, sample…

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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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The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…
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2- According to the National Association of Colleges and Employers Spring 2015 Salary Survey, the average starting salary for 2014 college graduates was $48,127. Suppose that the mean starting salary of all 2014 college graduates was $48,127 with a standard deviation of $9200, and that this distribution was strongly skewed to the right. Let ?̅ be the mean starting salary of 50 randomly selected 2014 college graduates. Find the mean and the standard deviation of the sampling distribution of ?̅. How does the shape of the sampling distribution differ?
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% Observed Number of Households in the Community 106 112 37 91 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 29 34 28 34 26 28 Actor (years) 59 40 39 40 30 32 54 a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Ho Md 42 27 33 40 41 43 year(s) year(s) H₁ H (Type integers or decimals. Do not round.) Identify the…
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Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of change if I increase the sample size to 1,000 residents?
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Which of the following is the correct shape and justification of the sampling distribution of Py -B,?