(1 point) In order to compare the means of two populations, independent random samples of 266 observations are selected from each population, with the following results: Sample 1 Sample 2 x1 = 1 x2 = 0 S1 = 105 s2 = 130 (a) Use a 97 % confidence interval to estimate the difference between the population means (µ1 – µ2). - -21.235 < (H1 – H2) < 23.235 (b) Test the null hypothesis: Ho : (µ1 – µ2) = 0 versus the alternative hypothesis: H. : (µj - H2) # 0. Using a = 0.03, give the following: (i) the test statistic z = (ii) the positive critical z score 2.176 (iii) the negative critical z score -2.176 The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (u1 – µ2) = 0. B. We can reject the null hypothesis that (u1 – µ2) = 0 and accept that (u1 – µ2) # 0. (c) Test the null hypothesis: Ho : (µ1 – µ2) = 21 versus the alternative hypothesis: H. : (µ1 - H2) # 21. Using a = 0.03, give the following: (i) the test statistic z = -1.952 (ii) the positive critical z score 2.176 (iii) the negative critical z score -2.176

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(1 point) In order to compare the means of two populations, independent random samples of 266 observations are selected from each population,
with the following results:
Sample 1 Sample 2
x1 = 1 x2 = 0
105 s2 = 130
S1
(a) Use a 97 % confidence interval to estimate the difference between the population means (µ1 – µ2).
< (H1 – H2) < 23.235
(b) Test the null hypothesis: Ho : (H1 – H2)
-21.235
|
O versus the alternative hypothesis: H. : (µ1 - 42) # 0. Using a =
0.03, give the following:
(i) the test statistic z =
(ii) the positive critical z score
2.176
(iii) the negative critical z score
-2.176
The final conclustion is
A. There is not sufficient evidence to reject the null hypothesis that (u1 – H2) = 0.
B. We can reject the null hypothesis that (u1
-(2) = 0 and accept that (u1 – H2) # 0.
(c) Test the null hypothesis: H : (µ1 – µ2) = 21 versus the alternative hypothesis: Ha : (u1 - H2) # 21. Using a =
0.03, give the following:
(i) the test statistic z =
-1.952
(ii) the positive critical z score
2.176
(iii) the negative critical z score
-2.176
Transcribed Image Text:(1 point) In order to compare the means of two populations, independent random samples of 266 observations are selected from each population, with the following results: Sample 1 Sample 2 x1 = 1 x2 = 0 105 s2 = 130 S1 (a) Use a 97 % confidence interval to estimate the difference between the population means (µ1 – µ2). < (H1 – H2) < 23.235 (b) Test the null hypothesis: Ho : (H1 – H2) -21.235 | O versus the alternative hypothesis: H. : (µ1 - 42) # 0. Using a = 0.03, give the following: (i) the test statistic z = (ii) the positive critical z score 2.176 (iii) the negative critical z score -2.176 The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (u1 – H2) = 0. B. We can reject the null hypothesis that (u1 -(2) = 0 and accept that (u1 – H2) # 0. (c) Test the null hypothesis: H : (µ1 – µ2) = 21 versus the alternative hypothesis: Ha : (u1 - H2) # 21. Using a = 0.03, give the following: (i) the test statistic z = -1.952 (ii) the positive critical z score 2.176 (iii) the negative critical z score -2.176
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