Hypothesis Testing
this type of hypothesis states that there is no effect or no difference; it is what we assume to be true until evidence suggests otherwise
null hypothesis
What is the mode of the following set of test scores?
81, 92, 83, 91, 83, 95, 82
83
This Olympic swimmer holds the record for the most gold medals in a single Olympics, winning eight in 2008.
Michael Phelps
This U.S. state has the largest land area.
Alaska
This actress starred in a controversial ad for a clothing brand that referred to “good genes.”
Sydney Sweeney
A company claims their light bulbs last on average 1000 hours. You want to test this claim. State the alternative hypothesis if you suspect they last less than advertised.
Ha:
mu<1000
Find the mean and standard deviation of the following data set to 3 significant figures:
12.1, 13.2, 14.5, 13.4, 11.5
mean: 12.9
stdev: 1.05
This country won the 2022 FIFA World Cup.
this country is the smallest in the world by land mass
vatican city
This rapper's real name is Shawn Carter
Jay Z
to see if the distribution of eyecolors follows an expected ratio in a population, we would use this type of hypothesis testing
chi-squared (goodness of fit, specifically!)
An r value of -.946 indicates a __________________ and ________________ correlation.
strong and negative
Known as "The Great One," this hockey player holds the NHL record for the most career goals, assists, and points.
Wayne Gretzky
This country has the longest coastline in the world.
Canada
This actor played Jack Dawson in Titanic.
Leonardo Dicaprio
You conduct a hypothesis test at the 5% significance level and obtain a p-value of 0.032. Do you accept or reject H0?
Reject because .032<.05
A bag contains 5 red balls and 3 blue balls. You draw two balls one after the other without replacement. What is the probability that both balls are red?
(5/8)*(4/7)=.357
This tennis player has won the most Grand Slam singles titles in history.
Novak Djokovic (men) / Serena Williams (women, retired)
This country has the most active volcanoes in the world.
Indonesia
This artist won album of the year at the Grammys 4 times
Taylor Swift
A teacher wants to see if there is a difference in test performance between students who studied with flashcards and those who studied by rereading notes. The results are shown below:
Flashcards (n=10): mean = 78, standard deviation = 6
Notes (n=12): mean = 72, standard deviation = 8
At the 10% significance level, test whether the two study methods produce different mean scores.
2 Sample T Test (We are given statistics) p = .0648, we reject null.
The weights of apples in a shipment are normally distributed with mean 150 g and standard deviation 12 g.
What percentage of apples weigh between 140 g and 165 g?
0.692
This NFL team has won the most Super Bowl titles in history.
Pittsburgh Steelers / New England Patriots (tie at 6 each)
The highest capital city in the world is located in this country.
La Paz, Bolivia
This 1980 film directed by Stanley Kubrick is based on a Stephen King novel and is famous for the line, "Here’s Johnny!"
The Shining