Single-Sample t test. Dr. Altman is testing the effect of her new exercise program for older adults living in assisted living. She specifically wants to know if the program has an effect on an individual’s walking speed. She knows that for humans, the average walking speed is 4 mph. However, she does not know the population variance. Dr. Altman tested 7 individuals and measured their walking speed as follows: 3 mph, 2 mph, 5 mph, 2 mph, 4 mph, 3 mph, and 5 mph Dr. Altman would like to know whether her exercise program has a significant effect on walking speed (positive or negative!). Null hypothesis (H0): Research hypothesis (H1): Step 2) Determine the characteristics of the comparison distribution. Degrees of freedom = df = ____ Mean of the sample = M = _ Mean of the population = μ = Sum of Squared Deviations for the sample = SS = _ Estimated variance of the population = S2 = ___ Variance of the distribution of means = S2M = _ Standard deviation of the distribution of means = SM = _ Step 3) Determine the cutoff score on the comparison distribution (using a 0.05 p value): Cutoff score for t distribution = Step 4) Determine your sample’s score on the comparison distribution. t = _____ Step 5) Decide whether or not to reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Single-Sample t test. Dr. Altman is testing the effect of her new exercise program for older adults living in assisted living. She specifically wants to know if the program has an effect on an individual’s walking speed. She knows that for humans, the average walking speed is 4 mph. However, she does not know the population variance. Dr. Altman tested 7 individuals and measured their walking speed as follows:

3 mph, 2 mph, 5 mph, 2 mph, 4 mph, 3 mph, and 5 mph

Dr. Altman would like to know whether her exercise program has a significant effect on walking speed (positive or negative!).

Null hypothesis (H₀):
Research hypothesis (H₁):

Step 2) Determine the characteristics of the comparison distribution.

Degrees of freedom = df = ________
Mean of the sample = M = _________
Mean of the population = μ = ________
Sum of Squared Deviations for the sample = SS = _________
Estimated variance of the population = S² = ___________
Variance of the distribution of means = S²_M = _________
Standard deviation of the distribution of means = S_M= _________

Step 3) Determine the cutoff score on the comparison distribution (using a 0.05 p value):

Cutoff score for t distribution =

Step 4) Determine your sample’s score on the comparison distribution.

t = _________

Step 5) Decide whether or not to reject the null hypothesis.

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