Problem: Given the following printout, answer questions a through e.

Problem: Given the following printout, answer questions a through e.
>t.test(math~female)
Welch Two Sample t-test
data: math by gender
t = -0.411, df = 187.575, p-value = 0.6816
95 percent confidence interval:
-3.193325 2.092206
sample estimates:
mean in group female mean in group male
52.39450 52.94505
a) State the null and the alternative hypothesis in symbols and words.

b) What is your conclusion regarding the null? (Reject or fail to reject)

.

c) Write your conclusion within context.

d) Interpret the 95% confidence interval.

e) Find the relevant descriptive on R and show how the t value and confidence interval was calculated? (The data is attached hsb2.csv)