An analyst is looking into ho bling products in a specific business. He gathered the following random data times (in minutes) spent by 13 personnel in the industry on product assembly. It is believed that the assembly time is normally distributed. 21 19 29 26 28 27 19 20 25 15 19 19 20 Shift A Shift B i. Find the best point estimator for mean and standard deviation for both shifts. ii. At 2% level of significance, test the variabilities of assembly times are the same between the two shifts. ii. Use the result in (ii) as an assumption, can you conclude that the performance of the employees from shift A in assembling the products is better than the performance of the employees from shift B at a = 0.01?

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Author:Amos Gilat
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QUESTION 3
An analyst is looking into how much time shift A and shift B employees spend assem-
bling products in a specific business. He gathered the following random data on the
times (in minutes) spent by 13 personnel in the industry on product assembly. It is
believed that the assembly time is normally distributed.
21
19
29
28
27
26
19
20
25
15
19
19
20
Shift A
Shift B
i. Find the best point estimator for mean and standard deviation for both shifts.
ii. At 2% level of significance, test the variabilities of assembly times are the same
between the two shifts.
iii. Use the result in (ii) as an assumption, can you conclude that the performance
of the employees from shift A in assembling the products is better than the
performance of the employees from shift B at a = 0.01?
ات
Transcribed Image Text:QUESTION 3 An analyst is looking into how much time shift A and shift B employees spend assem- bling products in a specific business. He gathered the following random data on the times (in minutes) spent by 13 personnel in the industry on product assembly. It is believed that the assembly time is normally distributed. 21 19 29 28 27 26 19 20 25 15 19 19 20 Shift A Shift B i. Find the best point estimator for mean and standard deviation for both shifts. ii. At 2% level of significance, test the variabilities of assembly times are the same between the two shifts. iii. Use the result in (ii) as an assumption, can you conclude that the performance of the employees from shift A in assembling the products is better than the performance of the employees from shift B at a = 0.01? ات
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