# Is this a paired sample or independent samples test

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5.1 Is this a paired sample or independent samples test? (circle one) Set up the appropriate test statistic for this test. 5.2 Formula for the test statistic: ? = ? ̅ 𝑓 − 0 ? ?? √?? 5.3 Plug in and solve : ? = −10 15 √70 = −5.58 5.4 What is the distribution of this test statistic? Show the reference distn, df and whether to use or /2 t -distribution with df = n f -1 = 69 or ?(69) & use α 5.5 Is this is a 1 or 2 tailed test? 1-Tail 5.6 What is the critical value of the test statistic for ? = 0.01 ? ???? = ? 0.01 (69) = −2.38 5.7 What is your decision? Reject 𝐻 0 since ? = −5.6 < −2.38 = ? ????
Practice Final 9 Test the claim that effects of the diet pills are same for males and for females. Note that now the pre-post weight differences for each sex are the two random variables. 5.8 State the null and alternative hypotheses 𝐻 0 : ? ( ̅ ? ) ?(? ̅ ? ) = 0 vs 𝐻 𝑎 : 𝐻 0 : ? ( ? ̅ ? ) ?(? ̅ ? ) ? ≠ 0
5.9 Is this test based on paired sample or independent samples ? (circle 1) Using a pooled estimate, what is the formula for the standard error for the difference between the male and female effects, ( ? ̅ ? − ? ̅ ? ) ? What are the degrees of freedom associated with this estimate? = .
Practice Final 10 Problem 6 Regression Your colleagues have collected some data on the relationship between the number of steps walked per day and the BMI (body mass index: a summary of obesity). Your job is to analyze the data to see if there is a relationship between these two variables. Fill out the rest of this ANOVA table with numbers (cells to fill out are shaded) 6 41
6.7 How many observations are there in the data set?
6.8 Which test statistic do we use as a general test for model significance in this case? (circle one)
6.10 Can you reject the null hypothesis that there is no relationship between steps walked and BMI?
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