1. Which firm do you prefer according to the table above? Why? 2. Construct and interpret a 99% confidence interval for the difference of two population means. 3. Does tbe data indicate that the effectiveness of firm A's circuit board is different from firm B? Test at 1% level ofsignificance. 4. Isyour result in confidence interval consistent with your result in hypothesis testing? Stale the reason.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The mean lifetime of colour television circuit boards (in months) produced by Firms A and B
are to be compared. The sample of 20 circuit boards is randomly assigned to each firm. Both.
populations have a normal distribution. The summary statistics are presented in the table below.
Sample Mean Lifetime
Circuit Hoard (month )
Population Standard
Dcviallon (months)
Firm
A
4.5
0.38
B
2.9
0.48
1. Which firm do you prefer according to the table above? Why?
2. Construct and interpret a 99% confidence interval for the difference of two population
means.
3. Does tbe data indicate that the effectiveness offirm A's circuit board is different from
firm B? Test at 1% level of significance.
4. Isyour result in confidence interval consistent with your result in hypothesis testing? Stale
the reason.
Transcribed Image Text:The mean lifetime of colour television circuit boards (in months) produced by Firms A and B are to be compared. The sample of 20 circuit boards is randomly assigned to each firm. Both. populations have a normal distribution. The summary statistics are presented in the table below. Sample Mean Lifetime Circuit Hoard (month ) Population Standard Dcviallon (months) Firm A 4.5 0.38 B 2.9 0.48 1. Which firm do you prefer according to the table above? Why? 2. Construct and interpret a 99% confidence interval for the difference of two population means. 3. Does tbe data indicate that the effectiveness offirm A's circuit board is different from firm B? Test at 1% level of significance. 4. Isyour result in confidence interval consistent with your result in hypothesis testing? Stale the reason.
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