In: Statistics and Probability
Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Measurements were in feet per second.
Departure Arrival
lMean speed 257 266
Standard deviation 54 34
Sample size 35 35
Determine the P value
: Average walking speed of travellers in the airport when they are departing
: Average walking speed of travellers in the airport when they are arriving ((getting off a plane)
Null hypothesis : Ho : Average walking speed of travellers in the airport when they are departing = Average walking speed of travellers in the airport when they are arriving ((getting off a plane) ; or
Alternate hypothesis : Ha : Average walking speed of travellers in the airport when they are departing Average walking speed of travellers in the airport when they are arriving ((getting off a plane) ; or
Population Variances not known; Assumed Variances not equal;
Given | |
n1: Sample Size of Sample 1 : Departure | 35 |
n2 : Sample Size of Sample 2: Arrival | 35 |
: Sample Mean of walking speed while departing | 257 |
: Sample Mean of walking speed while Arriving | 266 |
s1 : Sample Standard Deviation : Departure | 54 |
s2 : Sample Standard Deviation : Arrival | 34 |
p-value for 2 tailed test;
For Finding p-value, excel function T.DIST.RT is being used;
T.DIST.RT function
Returns the right-tailed Student's t-distribution.
The t-distribution is used in the hypothesis testing of small sample data sets. Use this function in place of a table of critical values for the t-distribution.
Syntax
T.DIST.RT(x,deg_freedom)
The T.DIST.RT function syntax has the following arguments:
X Required. The numeric value at which to evaluate the distribution.
Deg_freedom Required. An integer indicating the number of degrees of freedom.