Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1=21, s1=4, n1=12, x2=20, s2=3, n2=15
A. What are the correct hypotheses for a​ right-tailed test?
b. Compute the test statistic.
c. Determine the​ P-value.
B. The 90​% confidence interval is from to .

(a)    

(b)

(c)

(d)

Step-by-step explanation:

Given

Solving (a): The hypotheses

The test is right-tailed, means that the alternate hypothesis will contain greater than sign.

So, we have:

Solving (b); The test statistic (t)

This is calculated as:

So, we have:

Solving (c): The P-value

First, we calculate the degrees of freedom

Using the t distribution, the p-value is:

Solving (d): The 90% confidence interval

Calculate significance level

Calculate the t value (t*)

The confidence interval is calculated using:

Split

the answer is mc^1-1jpeg