According to Census data, the average age of U.S. citizens is about 39.8 years. Jonathan wonders if the average age of U.S. citizens that vote is different from 39.8 years old. She selects a random sample of 34 citizens that voted in the most recent election. The mean age these 34 voters is 41.6 years with a standard deviation of 8.165 years.

Do these data provide convincing evidence at the= 0.01 level that the mean age of U.S. citizens that vote is different than 39.8 years old?

STATE:

H0:?years

Ha:?years

=

PLAN: Select all correct statements.

a)Random: This condition is not met

B)10%: This condition is not met.

C)Normal/Large Sample:= 34 is large (>30)

D)Normal/Large Sample: This condition is not met.

E)10%: 34 < 10% of all U.S. citizens that vote.

f)This is a one-sample t-test for.

g)This is a one-sample t-test for.

h)Random: This is a random sample of 34 U.S. citizens that vote.

DO:

statistic = ??? (Round to 3 decimal places)

-value =???? (Round to 4 decimal places)

CONCLUDE:

Because the P-value???= 0.01, the correct decision is tothe null hypothesis. Thereconvincing evidence at the

= 0.01 level that the mean age of all U.S. citizens that vote is39.8 years old.