Question

Provided below are summary statistics for independent simple random samples from two​ normally-distributed populations. Conduct the required hypothesis test and obtain the specified confidence interval.

xbar=12, s1=2.4, n1=20, xbar2=11, s2=7, n2=15

a) Right-tailed test, a=0.05. Find the test statistic. Find the p-value

b) 90% confidence interval. Find the confidence interval

Answer 1

I have used MINITAB software

Here we assume the equality of variances

a)

Steps:

1. Stat-Basic Statistics-2 sample t
2. 
3. Options
4. 
5. ok-ok

MINITAB output

test statistic=0.60

p-value=0.278

---------------------------------------------------------------------------------------------------------

b) Steps

1. Stat-Basic Statistics-2 sample t
2. 
3. options
4.   
5. ok-ok

OUTPUT

The required interval=(-1.84, 3.84)

-----------------------------------------------------------------------------------

PLEASE UPVOTE IF YOU LIKE MY ANSWER