Question

mplete: Chapter 7 Problem Set k to Assignment tempts Average: /12 Aa Aa - Engagement Activity: Probability and Samples- The Distribution of Sample Means amples are variable. If you take two (or three) separate samples from the same population, the samples will be different from ane another because they will contain different individuals, attributes, and sample means. AS a result, using different samples to predict population parameters will result in different estimates of those parameters. For example, the following image shows a population of 100 people of different ethnicities based on data from the u.s.Census Bureau 2010 for the United States Sample 3 Total Population Sample 1 Sample 2 6 7 15 19 20 21 22 24 25 8 9 10 11 12 13 14 16 17 18 23 26 27 28 29 30 31 3T 3 39 40 4142 43 44 45 46 47 48 49 50 34 35 36 37 38 $1 52 53 54 55 56 $7 58. 50 60 61 62 64 65 66 67 68 69 70 72 72 73 74 75 63 76 77 78 79 80 81 82 83 4 85 87 92 93 94 95 97 98 99 100 96 Hispanic Whate Nack Adan Desa souce tiwc and gender d onn om us.Cmmus urm 200 a&Cty u Sa r20s th/feidwt.ns a ndeshem For each of the samples for each of the four ethaicties isted, count the humber present in the sample and use the counts to predict the diversity in the population T6 get credt for your predictions, select the percentages appropnate for each ethaicty from the dropdown menus in the random sample column of the following table 1Note: Because the sarple has 20 peopie, the predictes population percentage wll be the count mutipled by 10 (for example: dyou count people, the peroentage is sos) TO start you off, the percentage of whee people in Sample 1 has been done for you cick on the respective tab (Sample 1, Sample 2. and se forthj at the top of the image to see the sampie Then Type here to search 90 91 92 93 94 95 96 97 98 99 100 76 77 78 79 80 81 82 Black Hispanic Asian White mus Bureau 2010. "State& County Quickfacts: United States Retrieved August 9, 2011 Data soace: Ethvic and gender dstributions based on data from t e us. Ce (p //eidacts.census.gov/index.hem) For each of the samples, click on the respective tab (Sample 1, Sample 2, and so forth) at the top of the image to see the sample. TH for each of the four ethnicities listed, count the number present in the sample and use the counts to predict the diversity in the population. To get credit for your predictions, select the percentages appropriate for each ethnicity from the dropdown menus in the random sample column of the following table. [Note: Because the sample has 10 people, the predicted population percentage will be count multiplied by 10 (for example: if you count s people, the percentage is 50 % ) . To start you off, the percentage of white people im Sample 1 has been done for you. Total Population Sample 2 Sample 1 80 % Sample 3 White 66% Hispanic 16% Black 13 % Asian 5% Do you think you can tell which sample most closely represented the actual population? (Note: This is an exploratory exercise. Answer honestly, either answer will be considered correct.) O No O Yes tn the following exercises, you will learn more about calculating the probability of events-indluding how to use the normal approximations in your calculations Sve & Cantinur Contine vthout sang Type here to search

Answer 1

Sample 1:

Total number of persons in sample is 10.

Out of 10 observations, 8 are white so percentage of white in sample-1 is

White percentage = (8/10) * 100% = 80%

Out of 10 observations, 1 is Hispanic so percentage of Hispanic in sample-1 is

Hispanic percentage = (1/10) * 100% = 10%

Out of 10 observations, 1 is Black so percentage of Black in sample-1 is

Black percentage = (1/10) * 100% = 10%

Sample 2:

Total number of persons in sample is 10.

Out of 10 observations, 7 are white so percentage of white in sample-2 is

White percentage = (7/10) * 100% = 70%

Out of 10 observations, 2 is Hispanic so percentage of Hispanic in sample-2 is

Hispanic percentage = (2/10) * 100% = 20%

Out of 10 observations, 1 is Black so percentage of Black in sample-2 is

Black percentage = (1/10) * 100% = 10%

Sample 3:

Total number of persons in sample is 10.

Out of 10 observations, 6 are white so percentage of white in sample-3 is

White percentage = (6/10) * 100% = 60%

Out of 10 observations, 2 is Hispanic so percentage of Hispanic in sample-3 is

Hispanic percentage = (2/10) * 100% = 20%

Out of 10 observations, 1 is Black so percentage of Black in sample-3 is

Black percentage = (1/10) * 100% = 10%

Out of 10 observations, 1 is Asian so percentage of Asian in sample-3 is

Asian percentage = (1/10) * 100% = 10%