It is claimed that the mean weight of the teens of New York city is 45 kg. A sample of size 10 of teens was taken from that city and found that the teens has an average weight of 40.1 kg with standard deviation 4.2. At 1% level of significance, can you conclude that the mean weight of the teens differs from 45 kg?

a. Which of the following statistical tests is most appropriate in this scenario?

1.Two-Tailed Z-Test

2.One-Tailed Z-Test

3.Two-Tailed T-Test

4.One-Tailed T-Test

b. What are the appropriate hypotheses for the test?

1.H0:=45kg; H1:45kg

2.H0:40.1kg; H1:=40.1kg

3.H0:=45kg; H1:>45kg

4.H0:=45kg; H1:<45kg

c. After conducting the appropriate significance test, the test statistic was found to be -3.6893. Therefore, the conclusion for the test is:

1.May reject H0, because p-value is less than 0.01

2.Fail to reject H0, because -3.6893 falls outside the critical region

3.May reject H1, because -3.6893 falls within the critical region

4.Fail to reject H0, because p-value is greater than 0.05