Two independent samples have been selected, 66 observations from population 1 and 58 observations from population 2. The sample means have been calculated to be x¯1=13 and x¯2=7.7. From previous experience with these populations, it is known that the variances are ?21=22 and ?22=26 (a) Find σ(x¯1−x¯2). answer: (b) Determine the rejection region for the test of ?0:(?1−?2)=2.33 and ??:(?1−?2)>2.33 Use ?=0.04. ?> (c) Compute the test statistic. ?= The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=2.33. B. We can reject the null hypothesis that (?1−?2)=2.33 and accept that (?1−?2)>2.33 (d) Construct a 9696 % confidence interval for (?1−?2)(μ1−μ2). ___ ≤(?1−?2)≤___ ?
Two independent samples have been selected, 66 observations from population 1 and 58 observations from population 2. The sample means have been calculated to be x¯1=13 and x¯2=7.7. From previous experience with these populations, it is known that the variances are ?21=22 and ?22=26
(a) Find σ(x¯1−x¯2).
answer:
(b) Determine the rejection region for the test of ?0:(?1−?2)=2.33 and ??:(?1−?2)>2.33 Use ?=0.04.
?>
(c) Compute the test statistic.
?=
The final conclustion is
A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=2.33.
B. We can reject the null hypothesis that (?1−?2)=2.33 and accept that (?1−?2)>2.33
(d) Construct a 9696 % confidence interval for (?1−?2)(μ1−μ2).
___ ≤(?1−?2)≤___ ?
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