For all the hypothesis testing problems in this and future assignments, please state the null and alternative hypotheses, calculate the value of the test statistic, determine if the results are statistically significant (using rejection region or p-value approaches), and then state your conclusion in terms of the problem (do not just say reject or fail to reject HO). For the problems done using R, do not pad the assignment with tons of R output. Please only provide the relevant output. Copy and paste the R code and output into word. You do not need to submit your R log file.3. The data set lowbwt.cav contains information for a sample of 100 low birth weight infants born in two teaching hospitals in Boston, Massachusetts. Measurements of systolic blood pressure are saved under the variable name sbp and indicators of gender - with 1 representing a male and 0 a female - underthe name sex. Answerthe following questions using SAS. Please provide your SAS code and relevant SAS output. a. Construct a histogram of systolic blood pressure measurements for males and another histogram for females. Based on the graphs, do you believe that blood pressure is approximately normalfor male and female infants? b. Test the hypothesis that among low birth weight infants, the mean systolic blood pressure for male infants is equal to the mean for female infants. Use a two-sided test at the 0.05 level of significance. What do you conclude? 4. To compare the means of 5 populations, random samples of size 10 are selected from each population. A partial ANOVA table for this data is as follows: Source df SS MS F Treatment 15.32 Error 0.64 Total a. Fill in the missing entries in the ANOVA table. b. Compute the pooled estimate of the population standard deviation. c. State the null and alternative hypotheses in the experiment. d. Test the hypotheses in part c). Use a=0.05