Please, Help with these. It is urgent. Thank you.

1- H0: 16.56 vs. HA: > 16.56. What is the test statistic for sample of size 30, mean 11.56, and standard deviation 2.99? Enter the test statistic with 2 decimal places.

2- A sample of size 20 yields a sample mean of 23.5 and a sample standard deviation of 4.3. Test HO: Mean 25 at a=0.10. HA: Mean < 25. This is a one-tailed test with lower reject region bounded by a negative critical value.

a) None of the other answers are correct.

b) Pvalue 0.932. HO not rejected. Conclude mean 25 plausible.

c) Pvalue 0.068. HO rejected. Conclude mean < 25

d) Pvalue 0.135. HO not rejected. Conclude mean 25 plausible.

3- The results of sampling independent populations:

Sample 1 from population 1

• Mean 80
• population variance 3
• sample size 25

Sample 2 from population 2

Mean 81

population variance 2

sample size 50

Note that the population variance are known. Test HO: (population 1 mean- population2 mean) 0 at a=0.05. HA: (population 1 mean - population2 mean)

>0. This is a one-tailed test with upper reject region and positive critical value.

4- The results of sampling independent populations:

Sample 1 from population 1

• Mean 1000
• sample standard deviation 400
• sample size 50

Sample 2 from population 2

Mean 1250

Sample standard deviation 500

sample size 75

Test the HO:population 1 mean= population2 mean at a=0.01. HA: population1 mean # population2 mean. This is a two-tailed test with both a negative lower critical value and a positive upper critical value. Separate variances is assumed.