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Setler [38]
3 years ago
12

Sampling may be defined as which of the following?A) Selection of an accessible population for a studyB) Selection of a subset o

f a population to represent the entire populationC) Assignment of study participants to treatment groupsD) Technique for ensuring that every element in the population has an equal chance of being included in the study
Mathematics
1 answer:
Ivan3 years ago
4 0

Answer:

B) Selection of a subset of a population to represent the entire population

Step-by-step explanation:

In research, it is often impractical to study the whole population, so a sample of the population is taken to represent the whole population.

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Step-by-step explanation:

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5. A scientist believes the concentration of radon gas in the air is greater that the established safe level of 4pci or less. Th
zysi [14]

Complete Question

A scientist believes the concentration of radon gas in the air is greater that the established safe level of 4 pci or less. The scientist tests the composition for 36 days finding an average concentration of 4.4 pci with a sample standard deviation of 1 pci.

a) In testing the scientist's belief, write the appropriate hypotheses:

           H_o:                   Ha:

b) What decision should be made?

Answer:

a

The null hypothesis is  H_o :  \mu  \le  4 \  pci

The  alternative  hypothesis is H_a  :  \mu  >  4 \ pci

b

There is sufficient evidence to conclude that the concentration of radon gas in the air is greater that the established safe level of 4pci or less

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  =  4 \ pci

    The sample size n  =  36 \ days

     The  sample  mean is  \= x  =  4.4 \  pci

     The  standard deviation is  \sigma  =  1 \ pci

       The  level  of significance is  \alpha =  0.05

The null hypothesis is  H_o :  \mu  =  4 \  pci

The  alternative  hypothesis is H_a  :  \mu  >  4 \ pci

  Generally the test statistics is mathematically represented as

          t =  \frac{ \= x  -  \mu }{ \frac{ \sigma}{ \sqrt{n} } }

=>      t =  \frac{ 4.4  -  4 }{ \frac{ 1}{ \sqrt{36} } }

=>      t =  \frac{ 4.4  -  4 }{ \frac{ 1}{ \sqrt{36} } }

=>      t =2.4

The  p-value  is mathematically represented as

      p-value  =  P(Z >  2.4  )

From the  z-table  

          P(Z >  2.4  )  =  0.008

    p-value  =0.008

So from this obtained value  we see that

     p-value <  \alpha so we reject the null hypothesis

Hence we can conclude that there is sufficient evidence to conclude that the concentration of radon gas in the air is greater that the established safe level of 4pci or less

4 0
3 years ago
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