a.) List down the 9 different possible samples. b.) Find the mean of each sample. c.) Find the mean of the sampling distribution of means.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Solve the following problem. Show your complete solution.
1. Erron got a new job in a shoe store at Robinson's Calasiao, Pangasinan. The numbers of pair of
shoes he was able to sell for three days are: 2,4,5. Assume that samples of size 2 are randomly
selected with replacement from this population of three values.
a.) List down the 9 different possible samples.
b.) Find the mean of each sample.
Find the mean of the sampling distribution of means.
с.)
d.) Identify the probability of each sample.
e.) Find the population mean.
f.) Compare the population mean with the mean of the sampling distribution of means.
2. Joe, a DOH COVID-19 tracker, found out that the number of infected persons of COVID-19 in
seven low-risk provinces of the country are 1, 9, 2, 12, 8, 7, and 10. Suppose that 5 provinces are
drawn as sample.
a.) What is the mean (µ), variance (o²) and standard deviation of the population (0)?
b.) How many different samples of size n =5 can be drawn from the population? List them
with their corresponding mean.
c.) Construct the sampling distribution of the sample mean.
d.) What is the mean (µx) of the sampling distribution of the sample mean? Compare this to
the mean of the population.
e.) What is the variance of the (o?) of the sampling distribution of the sample mean?
Transcribed Image Text:Solve the following problem. Show your complete solution. 1. Erron got a new job in a shoe store at Robinson's Calasiao, Pangasinan. The numbers of pair of shoes he was able to sell for three days are: 2,4,5. Assume that samples of size 2 are randomly selected with replacement from this population of three values. a.) List down the 9 different possible samples. b.) Find the mean of each sample. Find the mean of the sampling distribution of means. с.) d.) Identify the probability of each sample. e.) Find the population mean. f.) Compare the population mean with the mean of the sampling distribution of means. 2. Joe, a DOH COVID-19 tracker, found out that the number of infected persons of COVID-19 in seven low-risk provinces of the country are 1, 9, 2, 12, 8, 7, and 10. Suppose that 5 provinces are drawn as sample. a.) What is the mean (µ), variance (o²) and standard deviation of the population (0)? b.) How many different samples of size n =5 can be drawn from the population? List them with their corresponding mean. c.) Construct the sampling distribution of the sample mean. d.) What is the mean (µx) of the sampling distribution of the sample mean? Compare this to the mean of the population. e.) What is the variance of the (o?) of the sampling distribution of the sample mean?
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