9. The purpose of statistical inference is to provide inform

Osvaldo Apodaca

Osvaldo Apodaca

Answered question

2021-12-25

9. The purpose of statistical inference is to provide information about the.
a. sample based upon information contained in the population.
b. population based upon information contained in the sample.
c. population based upon information contained in the population.
d. mean of the sample based upon the mean of the population.
10. Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are.
a. 200 and 18.
b. 81 and 18.
c. 9 and 2.
d. 200 and 2.

Answer & Explanation

vicki331g8

vicki331g8

Beginner2021-12-26Added 37 answers

The estimate is derived using a sample, hence choice (a), "sample based upon information contained in the population" is inaccurate.
It is wrong to choose option (c), "population based upon information contained in the population" as statistical inference allows for inferences to be made about unknown parameters based on sample data.
Because statistical inference produces inferences about some unknown population parameter based on sample and not based on mean of population, option (d), "mean of the sample based upon the mean of the population" is wrong.

Based on a sample taken from the population, statistical inference makes some inferences or estimates the unknown parameter. In other words, the sample data are used to draw conclusions about the population. Therefore, in the given circumstance, option (b), " “population based upon information contained in the sample" is the appropriate response.

scomparve5j

scomparve5j

Beginner2021-12-27Added 38 answers

μx=μ =200 
σx=σn =1881 =189 =2 
The values for choices (a), (b), and (c) are deemed erroneous since they do not match the mean and standard error of the mean that were determined.
The calculated mean value is 200, and the calculated standard error of the mean is 2, correspondingly. Therefore, it may be concluded that option (d) is the appropriate response to the given circumstance.

karton

karton

Expert2021-12-30Added 613 answers

In section 9, it is explained that the goal of statistical inference is to draw conclusions about the population from data from the sample. The average and standard deviation for component 10 are 200 and 2, respectively.

Vasquez

Vasquez

Expert2023-04-29Added 669 answers

The answer to the first question is option b. The purpose of statistical inference is to provide information about the population based upon information contained in the sample.
Answer:(b)
For the second question, the mean of the population is given as μ=200, the standard deviation of the population is given as σ=18, and the sample size is n=81. The standard error of the mean (SEM) is calculated as σn.
SEM=σn=1881=2
Therefore, the mean of the sample is μx¯=μ=200 and the standard error of the mean is SEM=2.
Answer:(d)
RizerMix

RizerMix

Expert2023-04-29Added 656 answers

9. The purpose of statistical inference is to provide information about the:
(b) population based upon information contained in the sample.
Statistical inference involves using information from a sample to make conclusions or predictions about a population. It is not possible to directly observe or measure a population, so we use statistical inference to estimate population parameters based on sample statistics.
10. Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are:
The mean of the sample is the same as the population mean, which is μ=200.
The standard error of the mean is given by:
SE=σn=1881=(c) 2
where σ is the population standard deviation and n is the sample size.

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