Activity 1.2Suppose that a population consists of the six (6) employees in a small businessThe random variable of interest x, is the number of years the employee has been wihthe business. The values of the variable are as follows:LessonSampling DistributionsWN you select a random sample from a population, the numerical descriptivemeasures you calculate from the sample are called statistics. These statistics vary orchange from each different random sample you select, that is, they are randomvariables. The probability distributions for statistics are called sampling distributions.Years in theBusiness1EmployeesActivity 1.1Suppose that a population consists of the six (6) employees in a small business.The random variable of interest x, is the number of years the employee has been withthe business. The values of the variable are as follows:Shiela2Claudinepage23MildredEmployeesYears in theBusiness4DivineShiela5Bridgette ipage1Claudine3SophiaMildredDivineWhat is the sampling distribution of the saạmple means for a sample of sıze 27Steps in Constructing a Sample DistributionBridgette1. Find the number of possible samples that can be drawn from the finte populationusing combination formula.SophiaWhat is the population mean, population variance and population standarddeviation of the given data?NCn=Solution:Given the vales of x = 1,2,3.4,5,6. We first solve for the population mean, weget2. Randomly draw all possible sample of sıze n from a iscrete, hnite population ofsize N.Then we solve for the population variance and standard deviationEmployees| ShielaClaudineMildred3. List observed values of the statistic and its corresponding trequency of occurrenceSolution to Activity 12To generate the sampling distribulion of the sample means we need to collectall possible sample sıze without replacement from the populationYear in the Business (x)X-p-2.5-1.5-0.5(x-p)6 252.2530.25DivineBridgetteSophiaStep 1.possible samples of size 2 Note that N=6 and n=24.0.50.25By applying the combination formula, we can determine the number of1.52.52.256.256.6C2 =-"2"= 15Total2117.50(-u. 17.5eThere are 15 possible samples of size 2." = 2.92r-u. - 292 = 1.7117.50The population mean is 3.5, the population variance is 2.92, and thepopulation standard deviation is 1.71.Step 2.the population.Now we list the 15 distinct samples of size 2 which can be drawn fromTable 1: A Possible Samples of Size 2ObservationsYears1,21,31,4EmployeesShiela, ClaudineShiela, MildredShiela, DivineShiela, BridgetteShiela, SophiaClaudine, MildedClaudine, DivineClaudine. BridgetteClaudine. SophiaMildred. DivineMildred, BridgetteMildred. SophiaDivine. BridgetteDivine. SophiaBridgette, Sophiapage3341,51,62,32,42,52,63,43,53,64,54,65.6786.1011121314answer the ff:15The table shows the sampling distribution of the population consists of six (6)employees in a small business of sample means for the sample of size 2.There are four newly hired salespersons at Honda Cars Taguig Branch. Thenumber of motorcycles sold by each newly hired salesperson last month is 4.5, 8,and9.a. Complete the information needed in the table below.b. How many samples of size 2 are possible?c. List all possible samples of size 2.ObservationSample

Name: Activity 1.2Suppose that a population consists of the six (6) employe
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Activity 1.2Suppose that a population consists of the six (6) employees in a small businessThe random variable of interest x, is the number of years the employee has been wihthe business. The values of the variable are as follows:LessonSampling Dist

Question

Activity 1.2Suppose that a population consists of the six (6) employees in a small businessThe random variable of interest x, is the number of years the employee has been wihthe business. The values of the variable are as follows:LessonSampling DistributionsWN you select a random sample from a population, the numerical descriptivemeasures you calculate from the sample are called statistics. These statistics vary orchange from each different random sample you select, that is, they are randomvariables. The probability distributions for statistics are called sampling distributions.Years in theBusiness1EmployeesActivity 1.1Suppose that a population consists of the six (6) employees in a small business.The random variable of interest x, is the number of years the employee has been withthe business. The values of the variable are as follows:Shiela2Claudinepage23MildredEmployeesYears in theBusiness4DivineShiela5Bridgette ipage1Claudine3SophiaMildredDivineWhat is the sampling distribution of the saạmple means for a sample of sıze 27Steps in Constructing a Sample DistributionBridgette1. Find the number of possible samples that can be drawn from the finte populationusing combination formula.SophiaWhat is the population mean, population variance and population standarddeviation of the given data?NCn=Solution:Given the vales of x = 1,2,3.4,5,6. We first solve for the population mean, weget2. Randomly draw all possible sample of sıze n from a iscrete, hnite population ofsize N.Then we solve for the population variance and standard deviationEmployees| ShielaClaudineMildred3. List observed values of the statistic and its corresponding trequency of occurrenceSolution to Activity 12To generate the sampling distribulion of the sample means we need to collectall possible sample sıze without replacement from the populationYear in the Business (x)X-p-2.5-1.5-0.5(x-p)6 252.2530.25DivineBridgetteSophiaStep 1.possible samples of size 2 Note that N=6 and n=24.0.50.25By applying the combination formula, we can determine the number of1.52.52.256.256.6C2 =-&#34;2&#34;= 15Total2117.50(-u. 17.5eThere are 15 possible samples of size 2.&#34; = 2.92r-u. - 292 = 1.7117.50The population mean is 3.5, the population variance is 2.92, and thepopulation standard deviation is 1.71.Step 2.the population.Now we list the 15 distinct samples of size 2 which can be drawn fromTable 1: A Possible Samples of Size 2ObservationsYears1,21,31,4EmployeesShiela, ClaudineShiela, MildredShiela, DivineShiela, BridgetteShiela, SophiaClaudine, MildedClaudine, DivineClaudine. BridgetteClaudine. SophiaMildred. DivineMildred, BridgetteMildred. SophiaDivine. BridgetteDivine. SophiaBridgette, Sophiapage3341,51,62,32,42,52,63,43,53,64,54,65.6786.1011121314answer the ff:15The table shows the sampling distribution of the population consists of six (6)employees in a small business of sample means for the sample of size 2.There are four newly hired salespersons at Honda Cars Taguig Branch. Thenumber of motorcycles sold by each newly hired salesperson last month is 4.5, 8,and9.a. Complete the information needed in the table below.b. How many samples of size 2 are possible?c. List all possible samples of size 2.ObservationSample

Accepted Answer

Sampling distribution of sample mean is generated by drawing the repeated samples of equal size n…