4. In one of the episodes of Netflix show Grand Degins, Stephen and Anita are considering ash glazed brick and stone siding for the walls of the house. The mean strength of the two options are to be compared. 12 pieces of each option are to be tested. Both populations have normal distributions. The following table is the result. It is believed that stone siding has a different strength than brick.

Sample Mean Strength (Kilos) Population Standard Deviation

Ash glazed brick 900 95

Stone Siding 1000 120

a. State the H0:

b. State the Ha:

c. Is this a right-, left-, or two-tailed test?

d. State the distribution to use for the test.

e. What is the test statistic?

f. What is the p-value?

g. At the 1% significance level, indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and provide appropriate conclusion, using complete sentences.

i. Alpha:

ii. Decision:

iii. Reason for decision:

iv. Conclusion: