c) The value for the mean of the sampling distribution is: 0.0310 d) Choose the c

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A quality control computer engineer would like to determine if a new manufacturing process will
significantly reduce the proportion of defective computer chips. In a random sample of 416 cormputer chips
manufactured using the present process, 51 were defective, while in a randorm sample of 393 cormputer
chips manufactured using the new process, 36 were defective. Based upon the sample data, can the quality
control engineer state the new manufacturing process is significantly better at a = 1 %? Let population 1 be
the computer chips manufactured using the present process and population 2 be the computer chips
manufactured using the new process.
(a) State the hypotheses:
Ho: The population proportion
defective computer chips using the present process
is equal to
o the population proportion
o defective computer chips using the
new process .
Symbols: O pO 0P-0 P - 20 µ0 ,- O10 P - PrO p0 p o
H: The population proportion
defective computer chips using the present process
is more than
o the population proportion
o defective computer chips using the
new process.
Symbols: O 41 - A20 Hz.
OP-P2O H0p0uo
(b) The correct symbol for the mean of the sampling distribution is:
OPi- P2
Op
Op
OF
Or
O Hp, Pa
O - I2
(c) The value for the mean of the sampling distribution is: 0.0310
(d) Choose the correct distribution:
Normal Distribution
Transcribed Image Text:Apps A Dashboard Home Page - my.N... A quality control computer engineer would like to determine if a new manufacturing process will significantly reduce the proportion of defective computer chips. In a random sample of 416 cormputer chips manufactured using the present process, 51 were defective, while in a randorm sample of 393 cormputer chips manufactured using the new process, 36 were defective. Based upon the sample data, can the quality control engineer state the new manufacturing process is significantly better at a = 1 %? Let population 1 be the computer chips manufactured using the present process and population 2 be the computer chips manufactured using the new process. (a) State the hypotheses: Ho: The population proportion defective computer chips using the present process is equal to o the population proportion o defective computer chips using the new process . Symbols: O pO 0P-0 P - 20 µ0 ,- O10 P - PrO p0 p o H: The population proportion defective computer chips using the present process is more than o the population proportion o defective computer chips using the new process. Symbols: O 41 - A20 Hz. OP-P2O H0p0uo (b) The correct symbol for the mean of the sampling distribution is: OPi- P2 Op Op OF Or O Hp, Pa O - I2 (c) The value for the mean of the sampling distribution is: 0.0310 (d) Choose the correct distribution: Normal Distribution
O Normal Distribution
OT-Distribution
O Chi-Square Distribution
Why?
Onip1, n1(1-p1), n2p2, and n2(1-p2) are all greater than 5.
O The size of n1 < 30 and n2 < 30.
O The size of n1 > 30 and n2 > 30.
O We are provided with I1 and 2.
O We are not provided with o for the two populations.
O We are provided with o for the two populations.
(e) State the decision rule:
Reject HO and accept Ha v
o at a =| 1
o % if the p-value of the
sample statistic
is less than or equal to 0.01
(f) Experiment:
Symbol of the sample statistic:
OP
OPi- P2
Op
Value of the sample statistic rounded to 4 decimal place: 1.4222
P-value of the sample statistic rounded to 4 decima! places: 0,0775
of
(g) Conclusion: Se ect an answer
v at a = 1
Transcribed Image Text:O Normal Distribution OT-Distribution O Chi-Square Distribution Why? Onip1, n1(1-p1), n2p2, and n2(1-p2) are all greater than 5. O The size of n1 < 30 and n2 < 30. O The size of n1 > 30 and n2 > 30. O We are provided with I1 and 2. O We are not provided with o for the two populations. O We are provided with o for the two populations. (e) State the decision rule: Reject HO and accept Ha v o at a =| 1 o % if the p-value of the sample statistic is less than or equal to 0.01 (f) Experiment: Symbol of the sample statistic: OP OPi- P2 Op Value of the sample statistic rounded to 4 decimal place: 1.4222 P-value of the sample statistic rounded to 4 decima! places: 0,0775 of (g) Conclusion: Se ect an answer v at a = 1
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