Is the weight of passengers (person plus clothing and carry-on baggage) changing
ID: 3045689 • Letter: I
Question
Is the weight of passengers (person plus clothing and carry-on baggage) 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.
Background Information: Is the weight of adult airline passengers (person plus clothing and carry-on baggage) changing? A national study in 2003 reported the average total passenger weight was 190 pounds. A small study of 20 randomly selected passengers boarding flights in Denver, CO was conducted in 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 20 216.50 223.50 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 smallestExplanation / Answer
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
passengerweight
20
155.00
256.00
216.7000
31.88317
Valid N (listwise)
20
The average total passenger weight of this randomly selected passengers is 216.7
In order to test the mean of this passenger changes from the mean of this passenger in 2006,we have to conduct the one sample t-test.
The One-Sample t-Test determines whether the sample mean is statistically different from a known or hypothesized population mean.
The assumptions of one sample t tset is
Assumption #1: Your dependent variable should be measured at the interval or ratio level (i.e., continuous).
Assumption #2: The data are independent (i.e., not correlated/related), which means that there is no relationship between the observations
Assumption #3: There should be no significant outliers.
so our data satisfies all this
we have to test
Ho:H0: = 190
Vs H1: not equal to 190
One-Sample Statistics
N
Mean
Std. Deviation
Std. Error Mean
passengerweight
20
216.7000
31.88317
7.12929
One-Sample Test
Test Value = 190
t
df
Sig. (2-tailed)
Mean Difference
95% Confidence Interval of the Difference
Lower
Upper
passengerweight
3.745
19
.001
26.70000
11.7782
41.6218
From this table, we can identify that p value = .001
which is less than .01
so we reject the null hypothesis.
so we conclude that the average total passenger weight is increasing.
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
passengerweight
20
155.00
256.00
216.7000
31.88317
Valid N (listwise)
20
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