Parkinson\'s disease (PD) is a degenerative disorder of the nervous system that
ID: 3263935 • Letter: P
Question
Parkinson's disease (PD) is a degenerative disorder of the nervous system that primarily affects the motor system. A common side effect is tremor in the hand that causes it to oscillate at a frequency typically between 3.5 and 7.5 Hz. Such a tremor can cause many day to day tasks such as eating and writing to be more difficult. Fortunately, Microsoft is working to develop a watch to dampen the tremors associated with PD. For this problem we fast forward a few years. Question from ISyE 2028 from summer 2020: Microsoft is considering releasing a second version of its watch to combat the tremors associated with PD. You have been hired to determine if the new watch is better at reducing tremors. Available to you is two sets of data, the first gives the percent tremor reductions (PTD) for each patient for the original watch and the second set of data is the second watch as shown in the list below: Each sample has 65 data points and the sample mean PTD for the original mean is x = 0.4568 with sample variance s^2_z = 0.0250. The sample mean PTD for the new watch is y = 0.4918 with sample variance s_2_y = 0.0309. (a) Can we say with 80% confidence that the new watch is better at reducing PD related tremors than the old watch? (b) Can we say with 99% confidence that the new watch is better?Explanation / Answer
Two-Sample T-Test and CI
Method
Equal variances are not assumed for this analysis.
Descriptive Statistics
Estimation for Difference
Test
since p-value = 0.117 < 0.20
we reject the null
b)
for 85 %
Estimation for Difference
b) since p-value = 0.117 > 0.01
we fail to reject the null , so we can't say
: mean of Sample 1 µ: mean of Sample 2 Difference: - µ