number 3 and 4 An Aincraht Emergeney Lramtier (.) is adevice designed to transmi
ID: 2949753 • Letter: N
Question
number 3 and 4
An Aincraht Emergeney Lramtier (.) is adevice designed to transmit a signal in the cse of crash. The Alti Company mak isfEa.rs. the Bery Company makes 15% of them.-nd th. Calair es 80% o makes the other 5%. The E1.1's made by Alti huve a 4% fate of defects, theBery EITS harve a Company 6% rate of defects. and the Clair have a 9% rate of defect. 1. If an EL.T is randomly selected from the general population of all ELTs, then what is the probability thm it was made by the Calair Company? a randomly selected ELT is then tested and is found to be defective, what is the probability that it was made by the Calair Company? 3. Assume a total of 10,000 ELTs were manufactured. Produce a contigency table showing the number of de- fective and non defective ELT's produced by each company 4. Is there sufficient evidence to support the claim that getting a defective ELT is independent of the manufa turing company? Use a 0.05 significance level. score: _ Page 3 of 6Explanation / Answer
The 2 x 3 contigency table is given below.
Question 4
Here
Now we will use chi-square test.
Here as we get the observed table. Now, we will observed a expected table.
Here expected values are
Expected Defects for alti = 8000 * 440/10000 = 352
Expectedved non defective for alti = 8000 * 9560/10000 = 7648
so similary, we would calculate the expected table
Now we will calculate the value of chi- square test statistic
X2 = (O - E)2/E
X2 = 15.215
Here
degree of freedom = (2-1) * (3-1) = 2
so,
X2crit. = 5.99
Here,
X2 > X2crit.
so we will reject the null hypothesis and conclude that defective ELT is not independent of manufacturing company.
Defect AltiCompany Beri Calair Total Defective 320 90 30 440 Non-defective 7680 1410 470 9560 Total 8000 1500 500 10000Related Questions
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