For each of the following questions, provide: i) the statistical test you used to address the study hypothesis and a description of why you chose the test (for example, one sample vs. two samples, parametric vs. nonparametric, paired vs. unpaired, one-tailed vs. two tailed), ii) your null and alternative hypotheses, iii) significance level and rationale, and iv) your conclusions in the context of the study and evidence that supports your conclusions (test statistics & p-values) and biological significance. Show work.

1. A study was conducted to evaluate the effect of stem cell injections on neurogenesis (creation of new neurons) in mice. The researchers quantified neurogenesis in five, randomly-selected mice that were injected with stem cells and in five, randomly-selected mice that were injected with a placebo (control). Using the provided data test the hypothesis that stem cell injections increases the rate of neurogenesis.

Group Rate Control 1 Control 2 Control 2 Control 3 Control 5 Treat 2 Treat 1 Treat 3 Treat 2 Treat 7

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