Assume that both populations are normally distributed. a. Test whether u1≠ u2 at the alpha=0.05 level of signifigance for the given sample data. (u= population mean, sorry couldnt insert the symbol). Determine p value. Should the null hypothesis be rejected?
b. Construct a 95% confidence interval about μ1−μ2. at the alphα=0.05 level of significance for the given sample data.

Population 1 Population 2
n 18 18
x 12.7 14.6
s 3.2 3.8

Fail to reject the null hypothesis

Step-by-step explanation:

Given

Solving (a): Test the hypothesis

We have:

Calculate the pooled standard deviation

Calculate test statistic

From the t table, the p value is:

i.e.

So, the conclusion is that: we fail to reject the null hypothesis.

Solving (b): Construct 95% degree freedom

Calculate the degree of freedom

From the student t table, the t value is:

The confidence interval is calculated as:

Split

were is the equation

ok then what happened.