If the researcher wants to investigate whether carpet makes a difference in the mean bacterial concentrates in air,then the null hypothesis is [tex]H_{0}[/tex]: The mean of the carpeted rooms is not equal to the mean of the uncarpeted rooms and the alternate hypothesis is [tex]H_{1}[/tex]: the mean of the carpeted rooms is equal to mean of the uncarpeted rooms.
Given the aim of researcher is to investigate whethet carpet makes a difference in the mean bacterial concentration in air.
We are required to form the null hypothesis and alternate hypothesis.
Hypothesis is basically a statement which is tested for its validity.
Null hypothesis is basically the statement which is opposite to the statement describing our objective of the research. In our case researcher wants to investigate whether the carpet makes a difference in the mean bacterial concentration in air so he will have to assume that there is not any difference which makes null hypothesis as under:
[tex]H_{0}[/tex]: The mean of the carpeted rooms is not equal to the mean of the uncarpeted rooms
Alternate hypothesis is basically the opposite of the null hypothesis and because the researcher assumed that there is not any difference while making null hypothesis so this time he has to assume that there is difference so the alternate hypothesis is as under:
[tex]H_{1}[/tex]: the mean of the carpeted rooms is equal to mean of the uncarpeted rooms.
Hence if the researcher wants to investigate whether carpet makes a difference in the mean bacterial concentrates in air,then the null hypothesis is [tex]H_{0}[/tex]: The mean of the carpeted rooms is not equal to the mean of the uncarpeted rooms and the alternate hypothesis is [tex]H_{1}[/tex]: the mean of the carpeted rooms is equal to mean of the uncarpeted rooms.
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