1)A number of Mason faculty, staff, and students commute to campus using a bike. A researcher was interested in discovering if a difference exists between an individual bike frame material and the time it takes to get to campus. In particular, the two types of bikes the researcher focused on were carbon-framed and steel-framed bikes. A random sample of bikers using a carbon-framed bike and another random sample of bikers using a steel-framed bike was selected and their time to Mason in minutes from a distance three miles away was recorded (we will subtract Carbon – Steel). You may assume all conditions that allow for inference using a t-distribution are met. The data set is called “Type of Bike 1.” Use the significance level = 0.05. -What are some confounding variable that may have had an effect on this study’s results. b)The same researcher who was working on the study from above decided that the variability within the two groups was too large. To handle this issue, she decided to pair by rider. She took one random sample of 17 riders and allowed each rider to use both a carbon- framed bike and a steel-framed bike. In addition, on the day each individual was to ride, she flipped a coin to see which bike the rider would use on the first of the two rides. The same variable (time to Mason in minutes from a distance three miles away) was recorded for each rider using both types of bikes. We are still testing the claim that a difference exists in the mean time it takes to ride to Mason from the distance of three miles away for different bike frame types. The data set is called “Type of Bike 2” and we will use = 0.05 in this investigation. -Define the population parameter in context in one sentence. -State the null and alternative hypotheses using correct notation.
1)A number of Mason faculty, staff, and students commute to campus using a bike. A researcher was interested in discovering if a difference exists between an individual bike frame material and the time it takes to get to campus. In particular, the two types of bikes the researcher focused on were carbon-framed and steel-framed bikes. A random sample of bikers using a carbon-framed bike and another random sample of bikers using a steel-framed bike was selected and their time to Mason in minutes from a distance three miles away was recorded (we will subtract Carbon – Steel). You may assume all conditions that allow for inference using a t-distribution are met. The data set is called “Type of Bike 1.” Use the significance level = 0.05.
-What are some confounding variable that may have had an effect on this study’s results.
b)The same researcher who was working on the study from above decided that the variability within the two groups was too large. To handle this issue, she decided to pair by rider. She took one random sample of 17 riders and allowed each rider to use both a carbon- framed bike and a steel-framed bike. In addition, on the day each individual was to ride, she flipped a coin to see which bike the rider would use on the first of the two rides. The same variable (time to Mason in minutes from a distance three miles away) was recorded for each rider using both types of bikes. We are still testing the claim that a difference exists in the mean time it takes to ride to Mason from the distance of three miles away for different bike frame types. The data set is called “Type of Bike 2” and we will use = 0.05 in this investigation.
-Define the population parameter in context in one sentence.
-State the null and alternative hypotheses using correct notation.
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