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quece233
06.04.2021 •
Mathematics
A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?
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Ответ:
The expected frequency is 90
Step-by-step explanation:
If the given probabilities are taken as observed
pXL=0.10, 450*0.1= 45
pL=0.20, 450*0.2= 90
pM=0.40, 450*0.4= 180
pS=0.20, 450*0.2= 90
pXS=0.10 450*0.1= 45
We can assign the expected frequencies to be 450/5= 90 each
The chi square goodness fit test can be calculated as
Observed Expected (o-e) (o-e)² (o-e)² /e
45 90 -45 2025 22.5
90 90 0 0 0
180 90 90 8100 90
90 90 0 0 0
45 90 -45 2025 22.5
∑ 135
χ²= 135
The χ² value at 0.05 is 9.49
The result is significant.
Ответ:
180
Just took the test
Ответ:
SAS Congruence theorem:
Step-by-step explanation: