Is the weight of passengers changing? A study in 2006 reported the average total

Question

Is the weight of passengers changing? A study in 2006 reported the average total passenger weight was 190 pounds. A small study of 20 randomly selected passengers boarding flights in Las Vegas, NV was conducted in December 2013. Total passenger weights rounded to the nearest pound are shown below. 6 step hypothesis test process to determine whether the mean weight of passengers has changed from 190 pounds. Show all SPSS work. Let alpha=0.01.

December 2010. Total passenger weights rounded to the nearest pound are shown below. The SPSS output is also shown below 203 245 256 194 202 251 196 220 227 169 240 155 255 230 192 238 243 250 160 204 Statistics Valid 20 32 02 Missing 216.50 223.50 Mean Median Mode Std. Deviation Range 155 32.032 101 155 256 194.50 223.50 244.50 25 Percentles 50 75 a. Multiple modes exist. The smallest

Explanation / Answer

TS = (Xbar - mu)/(sd/sqrt(n))

= (216.50 - 190)/(32.032/sqrt(20))

= 3.6997

degree of freedom = n-1 = 19

alpha = 0.01

t-critical = 2.86093

since TS > critical value

we reject the null hypothesis and conclude that

the mean weight of passengers has changed from 190 pounds.

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