1 Sample t-Test and Intervals

A random sample of students at a college shows that 54 of 200 students had part-time jobs.  We want to estimate the proportion of all college students with part time jobs

• 1 prop z-interval
• 1 sample t-interval
• 1 prop z-test
• 1 sample t-test

Tags

CCSS.HSS.IC.B.4

Fred wants to estimate the average length (in minutes) of the movies he watches, so he selects a random sample of 15 movies and watches them.

• 1 prop z interval
• 1 sample t interval
• 1 prop z test
• 1 sample t test

A group of musicians count how many times they can snap their fingers in 10 seconds with their dominant hands and with their nondominant hands.  They will test to see if musicians can snap faster with dominant hands than nondominant hands

• 1 sample t test
• 2 sample t test
• 1 sample z test
• 2 sample z test

Tags

CCSS.7.SP.B.4

Students investigating the packaging of potato chips purchased 6 bags of Lay's Ruffles marked with a net weight of 28.3 grams.  They carefully weighed the contents of each bag in order to determine if the bags were underweight.

• 1 sample t test
• 2 sample t test
• 1 sample t interval
• 2 sample t interval

Tags

CCSS.HSS.IC.B.4

A tire manufacturer tests the braking performance of one of its tire models on a test track.  the company tried the tires on 10 different cars, recording the stopping distance for each car on both wet and dry pavement.  Is there evidence to suggest the brakes work better on dry pavement?

• 1 sample t test
• 2 sample t test
• 1 prop z test
• 2 sample z test

A company know that last year 40% of its reports in accounting were on time.  Using a random sample this year, it wants to see if that proportion has changed.

• 1 prop z interval
• 2 prop z interval
• 1 prop z test
• 2 prop z test

Tags

CCSS.HSS.IC.B.4

Does a new vaccine work to treat ear infections in youngsters like Maxwell?  A study divided toddlers into 2 groups.  One group received vaccinations, the other did not.  333 of 2455 vaccinated children had ear infections compared to 499 of 2452 unvaccinated children.

• 2 sample t test
• 2 prop z test
• 2 sample t interval
• 1 prop z test

Many people think premium gas is better than regular.  To test that belief, we use 10 cars from a company fleet in which all the cars run on regular gas.  Each car is filled first with either regular or premium gas, decided by a coin toss, and the mileage is recorded for that tankful.  Then the mileage is recorded again for the same cars for a tankful of the other kinds of gasoline.

• 1 sample t test
• 2 sample t test
• 1 prop z test
• 2 prop z test

An English professor is attempting to estimate the mean number of novels that the student body reads during their time in college.  He conducts an exit survey with 120 seniors and records the number of books each read.

• 1 sample t test
• 2 sample t test
• 1 sample t interval
• 2 sample t interval

Tags

CCSS.HSS.IC.B.4

A nutrition lab tests 40 hot dogs to see if their mean sodium content was less than the 325 mg upper limit set by regulations for "reduced sodium" franks.  

• 1 sample t test
• 2 sample t test
• 1 prop z test
• 1 sample t interval