The figure below displays four different normal distributions.   Match the lines above to the correct parameters found with each normal distribution Orange (dashes and dots): N(

How has net worth changed over time for different generations? This graph explores this topic from 1989 to 2016 when considering four generations.  

Consider testing the hypotheses below: H0: p = 0.48  Ha: p > 0.48 If the standardized test statistic is  Z = 0.75, which is the only possible “correct” p-value and picture from the standard normal distribution?

Researchers are interested in finding out if there is any association between the number of hours a student works in a week and the number of classes they miss in a week.  Assume data was collected and they found a correlation of 0.326. Using this information, they calculated a p-value of 0.194. Determine whether each of the statements below is true or false.

Assume a researcher performs a hypothesis test and uses the below screenshot from StatKey to calculate the p-value: Look at all of the provided information on the graph when answering this question.   The alternative hypothesis of Ha: is the only possibility because the p-value was obtained from the theoretical distribution and the test is .

The hypotheses for a test for a population proportion are H0: p = 0.70 versus Ha: p ≠ 0.70. A sample of 100 is used with the hypothesis test If the test statistic equals 2.82, which correctly represents how the p-value would be calculated? of 2.82 on a .

Researchers test the provided hypotheses about two variables: ‘Favorite type of Apple’ (Red Delicious, Granny Smith, Honeycrisp, Empire, Gala) and ‘Time Aone where you Live: ‘(Pacific, Mountain, Central, Eastern) when based on a sample of n = 2000 U.S. adults. H0: There is no association between favorite type of apple and time zone where you live Ha: There is an association between favorite type of apple and time zone where you live Assume the researchers calculated a p-value of 0.0246.  What is the correct conclusion for this hypothesis test using a significance level of 0.05?

Many drivers of cars that can run on regular gas instead buy premium gas in the belief that they will get better gas mileage (miles per gallon). To test that belief, a sample of 10 cars was obtained from a company fleet where all the cars can run on regular gas. Each car is filled first with either regular or premium gasoline, as decided by a coin toss, and the mileage for that full tank of gas is recorded. The mileage is again recorded for the same cars with full tank of gas of the other kind of gasoline. The car drivers were unaware that they were participating in an experiment. Research Question: Does the data suggest, on the average, that cars had a higher gas mileage (in miles per gallon) with premium gas  when compared to regular gas? This is an example of paired data because there are two recorded measurements for each .  On the average, 2.0 miles per gallon was achieved with premium gas.  When using the paired t procedure, we successful in reducing variation between the types of gasoline, because the standard deviation for the differences: sd = miles per gallon is the standard deviations found with the original two samples for Premium and Regular gas.

Consider each scenario and decide which statistical procedure should be used to answer the question. Scenario A: On average, do people who regularly exercise have a lower resting pulse rate (beats/minute)  when considering Stat 200 students. A random sample 40 Stat 200 students who regularly exercise and a random sample of 40 Stat 200 students who don’t regularly exercise were obtained.  The resting pulse rate was determined for each Stat 200 student. Scenario B: On average, do most people desire to be taller?  A random sample of adults were asked:  what is your actual height (inches) and what is your ideal height (inches).  A difference was computed for adult person when considering the two samples.  With Scenario A, we should use the procedure.   With Scenario B, we should use the procedure.

Using a random sample of 1,017 adults living in all 50 states and the District of Columbia, Gallup calculated that 33% of Americans are confident they will have enough money in retirement. The margin of error is ±4 percentage points at the 95% confidence level. Classify the statements below as true or false: