For the following questions, determine whether to use a parametric or non-parametric test (look at assumptions or test for normality). Perform the hypothesis testing in R and write down the results and the R commands you used. Draw the distribution with the critical values. Where needed perform tests at=0.05. Make conclusions using both the p-value and test statistic.Underline your answers.

A) The zika virus has been linked to severe neurological diseases and can cause microcephaly, reducing the brain size of a baby. Ultrasounds have measured the brain size (cm) of 3 week old babies in the womb before and after infection of zika

Before zika: 12.9, 13.5, 12.8, 15.6, 17.2, 19.2, 12.6, 15.3, 14.4, 11.3

After zika: 12.7, 11.6, 10, 15.2, 16.8, 20, 12, 15.5, 15, 10.9

-First state the null and alternative hypothesis.

Ho:

Ha:

-Test for the normality of the distributions. Are the samples normally distributed?

- Is there a decrease in brain size after zika infection (assume the datais normally distributed)?

- Is there a decrease in brain size after zika infection (assume the datais not normally distributed)?