Question

In: Statistics and Probability

Do people walk faster in the airport when they are departing​ (getting on a​ plane) or...

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

Solutions

Expert Solution

: 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.


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