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1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions. n (1-p)=10 ( 300) (1-0.63) = 10 Yes, itislorge enough %3D np=10 300 0.63) = 10 189 10 b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places. X~AN(

1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions. n (1-p)=10 ( 300) (1-0.63) = 10 Yes, itislorge enough %3D np=10 300 0.63) = 10 189 10 b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places. X~AN(

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. According to a reseacher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. 
b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places.

 

Name: Natalia Arellano Sampling Distributions for Proportions 1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions. Yes, itislarge enough %3D O1 = (d-1) u =du O1= 0 b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places. X~AN( c) Use the approximation to the binomial to find the probability that at least 193 of the 300 randomly selected San Diegans have taken at least 1 dance class. Round to 4 decimals. 2. It is believed that the percent of female STEM majors at a particular college Is 29%. a) Say we select 15 random females from this college. Is this sample "large enough" to use the Central Limit Theorem for proportions? Use the conditions. b) Fill in the blank to write the sampling distribution when we obtain 100 females. Be sure to check the assumptions. Round to three decimal points if possible. p~AN(
Transcribed Image Text:Name: Natalia Arellano Sampling Distributions for Proportions 1. According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions. Yes, itislarge enough %3D O1 = (d-1) u =du O1= 0 b) Fill in the blanks to the distribution when we obtain 300 San Diegans. Round to 4 decimal places. X~AN( c) Use the approximation to the binomial to find the probability that at least 193 of the 300 randomly selected San Diegans have taken at least 1 dance class. Round to 4 decimals. 2. It is believed that the percent of female STEM majors at a particular college Is 29%. a) Say we select 15 random females from this college. Is this sample "large enough" to use the Central Limit Theorem for proportions? Use the conditions. b) Fill in the blank to write the sampling distribution when we obtain 100 females. Be sure to check the assumptions. Round to three decimal points if possible. p~AN(
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Note- As per our policy we can answer only 1st question. If you want solutions for other, then you have to make a separate request.

Given information

p = 0.63

Sample size n = 300

Mean μ = np = 300 × 0.63 = 189

Standard deviation ? = √(np(1-p) =√(300×0.63(1- 0.63) = 8.362  

b)

X ~ AN(189, 8.36242)

X ~AN(189, 69.93)

 

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