A researcher hypothesizes that people who eat a Keto diet will lose more weight than the general population of people on all diets. The researcher knows how much weight people generally lose when they are dieting and that is, on average, μ = 8 lbs. over a period of two months, but he doesn’t know the standard deviation of how much weight is lost in the population of all people who are on diets.   Further, he has a small sample size of 12.  The researcher studies a sample of 12 people on the Keto diet.  The number of pounds lost for a sample of N = 12 people on a Keto diet was: 4, 5, 6, 9, 5, 7, 5, 8, 6, 7, 11, 8 Is this a one- or two- tailed test? Write the Ho and Ha for this research question. What kind of statistic should be calculated to test the hypothesis?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
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  1. A researcher hypothesizes that people who eat a Keto diet will lose more weight than the general population of people on all diets. The researcher knows how much weight people generally lose when they are dieting and that is, on average, μ = 8 lbs. over a period of two months, but he doesn’t know the standard deviation of how much weight is lost in the population of all people who are on diets.   Further, he has a small sample size of 12.  The researcher studies a sample of 12 people on the Keto diet.  The number of pounds lost for a sample of N = 12 people on a Keto diet was: 4, 5, 6, 9, 5, 7, 5, 8, 6, 7, 11, 8
    1. Is this a one- or two- tailed test?
    2. Write the Ho and Ha for this research question.
    3. What kind of statistic should be calculated to test the hypothesis?
    4. Compute that statistic BY HAND (You can use SPSS to get the SD), but I want you to take that SD and then compute the right statistic with it.
    5. What should the researcher conclude?
      1. Should the null be rejected? (make sure are considering the issue of one vs two tailed when you make this decision)
      2. Write a “blurb” relative to the original hypothesis, the conclusion of the study
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