Problem 7. Use the same information from Problem 6 to conduct a hypothesis test to find out if the evidence suggests that the flight animals have a lower red blood cell mass than the control animals at the alpha = 0.1 level of significance. Assume that the data could come from populations that are normal (Do not use t.test()

• Assumptions:
• Hypotheses
• Test statistic: what is the distribution of test statistic? Based on the sample information provided in problem 6, what is the value of the test statistic?
• P-value
• Conclusion and interpretation in context.
• Refer to the conclusion from this problem. Based on the conclusion (reject the null or fail to reject the null), what type of error (either Type 1 or Type 2) could you have made?

Problem 8.Use the R command t.test() to repeat Problem 7. (conduct a hypothesis test to find out if the evidence suggests that the flight animals have a lower red blood cell mass than the control animals at the alpha = 0.1 level of significance). Copy and paste your R command and output. Note to students: R uses: "Welch's degrees of freedom" instead of the minimum of n₁ -1, n₂ - 1, hence giving a slightly different p-value from Problem 7.