Question

In: Statistics and Probability

We wish to assess the effect of three different track surfaces on sprinter speed. Six world-class...

  1. We wish to assess the effect of three different track surfaces on sprinter speed. Six world-class sprinters are asked to run five 100m dashes on each of the three track surfaces. Their average times are recorded below.

                    Surface1       Surface2       Surface3

Sprinter1          9.98           10.03            10.01

Sprinter2        10.00           9.99            9.97

Sprinter3        10.04           9.97            10.01

Sprinter4        10.02           10.03              9.99

Sprinter5          9.98           10.00            9.99

Sprinter6          9.94           9.96            9.97

Using the sprinters as blocks, discuss the differences between the track surfaces as suggested by SPSS. Give a statement to be tested, identify the random variables involved and the assumptions you make about them, state the hypotheses to be tested, ask SPSS to run the analysis for you, including a post hoc, and then discuss the outcome. Describe the critical region(s) upon which you base your decisions. Include any SPSS output in your discussion.

Solutions

Expert Solution

Null Hypothesis : There is no significant difference between the sprinters and the surface.

Alternative Hypothesis : There is a significant difference between the sprinters and the surface.

Level of significance : 5%

The significant values obtained for surface and sprinter are 0.889 and .122 respectively but since the values are greatee than 0.05 ( under 5 percent level of significance ) , we accept the null hypothesis.

Hence there ia no significant difference between the sprinter and surface.

And also, there is no need of post hoc.

Post hoc is used only if the values donot accept the null hypothesis.


Related Solutions

We wish to assess the effect of three different track surfaces on sprinter speed. Six world-class...
We wish to assess the effect of three different track surfaces on sprinter speed. Six world-class sprinters are asked to run five 100m dashes on each of the three track surfaces. Their average times are recorded below.                     Surface1       Surface2       Surface3 Sprinter1          9.98           10.03            10.01 Sprinter2        10.00           9.99            9.97 Sprinter3        10.04           9.97            10.01 Sprinter4        10.02           10.03              9.99 Sprinter5          9.98           10.00            9.99 Sprinter6          9.94           9.96            9.97 Using the sprinters as blocks, discuss the differences between the track surfaces...
Suppose we want to assess the effect of a one-day SAT prep class at a 5%...
Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: LaTeX: H_0 H 0 : LaTeX: \mu=0 μ = 0 LaTeX: H_a H a : LaTeX: \mu>0 μ > 0 where LaTeX: \mu μ is the mean of...
In my physics class, we are going over the Doppler Effect. We were given four different...
In my physics class, we are going over the Doppler Effect. We were given four different equations for two different scenarios: - When the observer is stationary but the source is moving - When the observer is moving but the source is stationary I was given a problem where both the observer AND the source are moving at some velocity. The source is emitting a given frequency while traveling at a given velocity. The observer is OBSERVING that frequency at...
We wish to see if, on average, traffic is moving at the posted speed limit of...
We wish to see if, on average, traffic is moving at the posted speed limit of 65 miles per hour along a certain stretch of Interstate 70. On each of four randomly selected days, a randomly selected car is timed and the speed of the car is recorded. The observed sample mean speed is 70 mph and the sample standard deviation is 4.08 mph. Assume that speeds are normally distributed with mean μ. Which of the following is the 95%...
How would you track a budget? Discuss three different methods to track a budget.
How would you track a budget? Discuss three different methods to track a budget.
This lab uses three friction carts with different surfaces on the bottom (cork, felt, and Teflon)...
This lab uses three friction carts with different surfaces on the bottom (cork, felt, and Teflon) and a set of masses totaling 1250 g. The carts are pulled with a piece of string attached to a hook on a force sensor, which measures the force of tension in the string. Behind the cart being pulled is a motion sensor. These two devices are used to display and record the string tension and the velocity of the cart as a function...
Suppose that we wish to assess whether more than 60 percent ofall U.S. households in...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year.a)   Based on...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year. a)   Assuming...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year. a)...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year. (p1...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT