Sample 1 Sample 2 I2 = 0 185 82 = 140 81 (a) Use a 95 % confidence interval to estimate the difference between the population means (u - 2). < (41 – 42) < (b) Test the null hypothesis: Ho : ( – H2) O versus the alternative hypothesis: H. : (41 H2) # 0. Using a = 0.05, give the following: ) the test statistic z = ii) the positive critical z score ii) the negative critical z score The final conclusion is OWe can reject the null hypothesis (µ1 – 42) = 0 in favor ofthe alternative (µ1 – H2) # 0. O There is not sufficient evidence to reject the null hypothesis (µ1 – H2) = 0. C) Test the null hypothesis: Ho : (41 – H2) 29 versus the alternative hypothesis: Ha : (µ1 – H2) + 29. Using a = 0.05, give the following: ) the test statistic z = (ii) the positive critical z score

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Chapter1: Starting With Matlab
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 In order to compare the means of two populations, independent random samples of 135 observations are selected from each population, with the following results:

Sample 1 Sample 2
2 T2
s1 = 185 s2 = 140
(a) Use a 95 % confidence interval to estimate the difference between the population means (u, - U).
< (H1 – H2) <
(b) Test the null hypothesis: Ho : (1 – H2) = 0 versus the alternative hypothesis: Ha : (µ1 – H2) # 0. Using a = 0.05, give the following:
() the test statistic z =
(ii) the positive critical z score
(iii) the negative critical z score
The final conclusion is
O We can reject the null hypothesis (41 – H2) = 0 in favor ofthe alternative (41 – H2) + 0.
O There is not sufficient evidence to reject the null hypothesis (u1 – 2) = 0.
(C) Test the null hypothesis: H, : (µ1 – H2) = 29 versus the alternative hypothesis: H, : (µ1 – µ2) 29. Using a = 0.05, give the following:
(i) the test statistic z =
(ii) the positive critical z score
(iii) the negative critical z score
The final conclusion is
O We can reject the null hypothesis (41 – H2) = 29 in favor of the alternative (41 – Hz) + 29.
O There is not sufficient evidence to reject the null hypothesis (41 - H2) = 29.
Transcribed Image Text:Sample 1 Sample 2 2 T2 s1 = 185 s2 = 140 (a) Use a 95 % confidence interval to estimate the difference between the population means (u, - U). < (H1 – H2) < (b) Test the null hypothesis: Ho : (1 – H2) = 0 versus the alternative hypothesis: Ha : (µ1 – H2) # 0. Using a = 0.05, give the following: () the test statistic z = (ii) the positive critical z score (iii) the negative critical z score The final conclusion is O We can reject the null hypothesis (41 – H2) = 0 in favor ofthe alternative (41 – H2) + 0. O There is not sufficient evidence to reject the null hypothesis (u1 – 2) = 0. (C) Test the null hypothesis: H, : (µ1 – H2) = 29 versus the alternative hypothesis: H, : (µ1 – µ2) 29. Using a = 0.05, give the following: (i) the test statistic z = (ii) the positive critical z score (iii) the negative critical z score The final conclusion is O We can reject the null hypothesis (41 – H2) = 29 in favor of the alternative (41 – Hz) + 29. O There is not sufficient evidence to reject the null hypothesis (41 - H2) = 29.
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