A simple random sample ofn1=19measurements from a population with a population standard deviation1=2had a sample mean ofx1=30x. An independent simple random sample ofn2=13measurements from a different population with a population standard deviation2=4had a sample mean ofx2=32x. Test the claim that the population means are different and use a level of significance of=0.04.

a. What is the level of significance?

b. State the null and alternate hypothesis.

H0:Select an answer,d,1-2,p,,p1-p2 / Select an answer<,=,>,

H1:Select an answer ,p,d,1-2,p1-p2 /Select an answer <,=,>,

c. What sampling distribution should be used?Select an answer

-Student t distribution

-Chi-Square distribution

-binomial distribution

-standard normal distribution

-uniform distribution

d. Compute the sampling test statistic.(Round answer to two decimal places.)

e. Find the P-value.(Round answer to four decimal places.)