12 You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as μ₁ and process 2 has a mean defined as μ2. The null and alternative hypotheses are Ho: H1 - H2 ≤0 and H₁ H1-H2>0. The process variances are unknown but assumed to be equal. Using random samples of 36 observations from process 1 and 49 observations from process 2, the sample means are 57 and 50 for populations 1 and 2 respectively. Complete parts a through d below. a. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 26? (Round to three decimal places as needed.) The test statistic is t = The critical value(s) is (are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is b. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1 is 22 and from process 2 is 31? The test statistic is t = (Round to three decimal places as needed.) The critical value(s) is (are). c. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 33? The test statistic is t = (Round to three decimal places as needed.) The critical value(s) is (are) = . (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is d. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 16 and from process 2 is 43? The test statistic is t= (Round to three decimal places as needed.) The critical value(s) is (are) = option are less than -tn, +ny-2,α/2. between -tn-1, a/2 and In-1, a/2. less than tn, +ny -2,α. greater than -tn, +ny -2,α. greater than tnx +n₂-2,0¹ greater than tnx +y -2,α/2, less than -tn +my -2,0 reject Ho- do not reject Ho
12 You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as μ₁ and process 2 has a mean defined as μ2. The null and alternative hypotheses are Ho: H1 - H2 ≤0 and H₁ H1-H2>0. The process variances are unknown but assumed to be equal. Using random samples of 36 observations from process 1 and 49 observations from process 2, the sample means are 57 and 50 for populations 1 and 2 respectively. Complete parts a through d below. a. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 26? (Round to three decimal places as needed.) The test statistic is t = The critical value(s) is (are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is b. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1 is 22 and from process 2 is 31? The test statistic is t = (Round to three decimal places as needed.) The critical value(s) is (are). c. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 33? The test statistic is t = (Round to three decimal places as needed.) The critical value(s) is (are) = . (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is d. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 16 and from process 2 is 43? The test statistic is t= (Round to three decimal places as needed.) The critical value(s) is (are) = option are less than -tn, +ny-2,α/2. between -tn-1, a/2 and In-1, a/2. less than tn, +ny -2,α. greater than -tn, +ny -2,α. greater than tnx +n₂-2,0¹ greater than tnx +y -2,α/2, less than -tn +my -2,0 reject Ho- do not reject Ho
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:12
You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as μ₁ and process 2
has a mean defined as μ2. The null and alternative hypotheses are Ho: H1 - H2 ≤0 and H₁ H1-H2>0. The process variances are unknown but assumed to be equal. Using random
samples of 36 observations from process 1 and 49 observations from process 2, the sample means are 57 and 50 for populations 1 and 2 respectively. Complete parts a through d
below.
a. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 26?
(Round to three decimal places as needed.)
The test statistic is t =
The critical value(s) is (are)
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Since the test statistic is
b. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1 is 22 and from process 2 is 31?
The test statistic is t = (Round to three decimal places as needed.)
The critical value(s) is (are).
c. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 30 and from process 2 is 33?
The test statistic is t = (Round to three decimal places as needed.)
The critical value(s) is (are) = .
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Since the test statistic is
d. Can you reject the null hypothesis, using a probability of Type I error α = 0.05, if the sample standard deviation from process 1 is 16 and from process 2 is 43?
The test statistic is t= (Round to three decimal places as needed.)
The critical value(s) is (are) =
option are
less than -tn, +ny-2,α/2.
between -tn-1, a/2 and In-1, a/2.
less than tn, +ny
-2,α.
greater than -tn, +ny -2,α.
greater than tnx +n₂-2,0¹
greater than tnx +y -2,α/2,
less than -tn +my -2,0
reject Ho-
do not reject Ho
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