AP Final Calculator practice

The principal at North High School is considering a schedule change to have lunch earlier in the day. If more than 50% of the student population supports changing the schedule, lunch will be moved to earlier in the day. The principal took a random sample of 100 students and found the 54 supported the change. The principal conducts an appropriate significance test to see if there is convincing evidence that more than 50% of student population supports a schedule change to have lunch occur earlier in the day. Calculate the p-value for this test. (enter 4 values after decimal)

Mathematical Equivalence

ON

A curious student wanted to determine if there was a difference in the average price of a quarter pound hamburger in the United States and Japan. The student randomly selected 15 McDonald’s restaurants in the United States and 10 McDonald’s restaurants in Japan and recorded the prices of their quarter pound hamburgers. Prices of the quarter pound hamburgers in Japan were converted to U.S. dollars. The data are summarized on Pg7 #2. Calculate a 99 percent confidence interval for the difference in mean price for a quarter pound hamburger in the United States and Japan. (enter - instead of a comma)

Mathematical Equivalence

ON

The heights of all adult males in Croatia are approximately normally distributed with a mean of 180 cm and a standard deviation of 7 cm. How tall must an adult male in Croatia be in order to be in the tallest 5% of these males? (round to 2 decimal places)

Mathematical Equivalence

ON

When playing the card game Blackjack, multiple decks are used and reshuffled often so that the outcomes of the cards dealt are approximately independent. When a player receives two cards that are a combination of an ace and a face card, this is called a “natural blackjack” and automatically wins. A natural blackjack should occur in 4.5% of the rounds played. What is the probability that a player plays 20 rounds of Blackjack and gets three or more natural blackjacks? (4 decimal places)

Mathematical Equivalence

ON

The students of a Statistics class want to estimate how many years it takes for a university professor to earn a PhD. They survey a random sample of 40 professors with PhDs, which results in a sample mean of 5.4 years and a standard deviation of 1.6 years. Give the 95% confidence interval for the true mean of the number of years it takes a professor to earn a PhD. (enter - instead of a comma)

Mathematical Equivalence

ON

By one estimate, 3% of all Siberian Husky puppies are born with two different colored eyes (called heterochromia iridum). For random samples of 100 Siberian Husky puppies, what is the probability that exactly three puppies are born with two different colored eyes?

Mathematical Equivalence

ON

#8:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a test statistic of 2.51 was calculated. What is the p-value for the test?

Mathematical Equivalence

ON