Question

Suppose a sociologist is interested in testing if the average age at puberty of girls living is Thailand is different from the average age of puberty of girls living in Japan. To test her theory, she selects a random sample of 50 young Thai women and 50 young Japanese women and determines that the average age at puberty of the women in Japan is 1.7 years younger than the average age at puberty of the Thai women. Which of the following would change if instead the average age at puberty for Japanese women is 0.8 years younger?a) The p-value would increase.b) The p-value would decrease.c) There would be no difference because Japanese women still went through puberty at a younger age.d) The sample standard deviation would be larger if the difference were less.e) Exactly 2 of the above are correct.

Answer 1

Answer:

Option b is right

Step-by-step explanation:

Given that  a sociologist is interested in testing if the average age at puberty of girls living is Thailand is different from the average age of puberty of girls living in Japan. To test her theory, she selects a random sample of 50 young Thai women and 50 young Japanese women and determines that the average age at puberty of the women in Japan is 1.7 years younger than the average age at puberty of the Thai women

If average of Japanese women is decreased by 0.8 years, we would get mean difference = $1.7+0.8=2.5$

Since mean difference increases test statistic would increase thus reducing p value, i.e. chances of rejecting H0 higher.

The sample std devition would not change because of this.