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Math Help - paired data and use one-sample t procedures

  1. #1
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    paired data and use one-sample t procedures

    For (a) the random condition will be satisfied if the seeds were obtained from a random sample?
    and for (b) when I do the hypothesis would my null hypothesis be 0? And the alternative hypothesis will be less than or equal to zero since we would think that the kiln would yield an increase. The difference would be negative when you minus regular to kiln... Please help
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  2. #2
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    Re: paired data and use one-sample t procedures

    Hey asilvester635.

    Hint: You are correct for a) but can you say how you can get a random sample physically and process wise for the experiment? (In other words, what kind of things can create bias and non-randomness between treatments?)
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    Re: paired data and use one-sample t procedures

    oh ok.. but for part (b) am i right or should i rethink my hypothesis?
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    Re: paired data and use one-sample t procedures

    If you want to test an increase with the kiln then basically you are testing mu_kiln > mu_other for the alternative and mu_kiln < mu_other (or mu_kiln = mu_other) for the null hypothesis.

    Recall that typically the null hypothesis is true if you get a "null" result with regards to what you are expecting to find if your original premise is true. In other words, the null is the antithetical situation to the original hypothesis.
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    Re: paired data and use one-sample t procedures

    so basically the null hypothesis will be mu_kiln = 0 meaning that theres no difference in using a regular or kiln and the alternative hypothesis is that we believe that mu_kiln will be bigger than the mu_other because using kiln increase the yield of barley therefore the alternative hypothesis will be mu_kiln > 0? Am i right?
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    Re: paired data and use one-sample t procedures

    No you are looking at the difference of population means not just the means in isolation.
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    Re: paired data and use one-sample t procedures

    will we use one sample t test for mu?
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  8. #8
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    Re: paired data and use one-sample t procedures

    No: if you are using a paired t-test then you need to do a paired hypothesis test that tests H0: mu_kiln - mu_other <= 0 and H1: mu_kiln - mu_other > 0.

    Remember that you are trying to see if the kiln process increases the yield so in this context the kiln population mean should be greater than the other one.
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