Identify Hypothesis Tests (1-sample)

A random sample of students at a college shows that 54 of 200 students had part-time jobs. We want to see if the proportion of all college students with part time jobs is greater than the national average.

• 1 sample t-test

• 1 prop t-test

• 1 prop z-test

• 1 sample z-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

• 1 prop z test

• 1 sample z test

• 1 prop t test

A tire manufacturer tests the braking performance of one of its tire models on a test track. From long-term records, the company knows the value of σ .

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 z test

• 1 sample t test

• 1 prop z test

• 1 prop t test

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

• 1 sample z test

• 1 prop t test

• 1 prop 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 t test

• 1 sample z test

• 1 prop z test

• 1 sample t test

In a rural area only about 30% of the wells that are drilled find adequate water depth of 100 feet or less. A local man claims to be able to find water by “dowsing” – using a forked stick to indicate where the well should be drilled.

You select some wells and see if they're 100 feet or less. What do you conclude about his claim that dowsing was a more successful method that the traditional means of locating water?

• 1 sample t test

• 1 prop t test

• 1 prop z test

• 1 sample z test

The National Center for Education Statistics monitors many aspects of elementary and secondary education nationwide. Their 1996 numbers are often used as a baseline to assess changes. In 1996, 31% of students reported that their mothers had graduated from college. Data was collected in 2000 and compared to the 1996 figure. Is there evidence of a change in education level among mothers?

• 1 sample z test

• 1 prop z test

• 1 sample t test

• 1 prop t test

Your company sells exercise clothing and equipment on the Internet. To design the clothing, you collect data on the physical characteristics of your different types of customers. The company believes that the mean weight of male runners is 61.3 kilograms. Based on their previous research they assume that the population standard deviation is σ = 4.5. We take a sample of male runners and find their mean weight. Does this sample provide evidence to suggest that the mean weight of male runners is really different from 61.3kg?

• 1 prop t test

• 1 sample t test

• 1 prop z test

• 1 sample z test

Last year the government made a claim that the average income of the American people was $33,950. However, a sample was taken recently showed an average income of $34,076 with a population standard deviation of $324. Is the government’s estimate too low?

• 1 prop z test

• 1 sample t test

• 1 prop t test

• 1 sample z test

An article titled “Teen Boys Forget Whatever It Was” appeared in the Australian newspaper The Mercury (April 21, 1997). It described a study of academic performance and attention span and reported that the mean time to distraction for teenage boys working on an independent task was 4 min. If these results came from a SRS of teenage boys that also yielded a sample standard deviation of 1.4 min. Does this sample provide enough evidence to suggest that the average attention span for teenage boys is less than 5 minutes?

• 1 sample z test

• 2 sample t test

• 1 prop z test

• 1 prop t test