# Could use to evaluate them b perform the appropriate

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could use to evaluate them. (b) Perform the appropriate t hypothesis test at an alpha = 5% level regarding the research question. i. (3 points) Hypotheses and parameter[s] of interest: ii. (3 points) Test statistic and p value (Show computations): iii. (3 points) Draw a conclusion in the context of the question: (c) (4 points) Suppose that instead of performing the t hypothesis test, the researcher wanted a [two-sided] confidence interval from a “bootstrap t” distribution. Some relevant quantiles are given for the bootstrap distribution below. Construct a 95% confidence interval using the bootstrap t distribution. Percent Below: 2.5% 5% 10% 90% 95% 97.5% Bootstrap t value: -2.64 -2.12 -1.54 1.26 1.67 2.06 6
Summary Statistics included for reference: Area Sample Mean Sample Median Sample SD Size Outter 10.40 10.23 0.90 10 Core 11.20 11.14 1.07 10 Core-Outter 0.80 0.71 0.99 10 (d) (6 points) Suppose that instead of either of the analyses above, the researcher ignored the study design and chose to do a two independent sample t test, with hypotheses: H 0 : μ core - μ out = 0 vs H 0 : μ core - μ out > 0 assuming equal population variances . Describe whether each of the following values would increase, decrease, or not change (You need to include some computations or clear explanation for your answer) compared to part b. numerator of observed test statisic: denominator of observed test statisic: observed t test statistic: degrees of freedom: p value: 8. (3 points) Suppose we are interested in constructing a confidence interval for a difference in population means with two independent samples. Choose one option for each of the following characteristics that will create a confidence interval with the narrowest/shortest width? Circle the correct word to fill in the blank.
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