A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital's minor emergency department had a variance of 0.36 minute. After a new admissions procedure was implemented, a random sample of 27 waiting times had a variance of 0.16 minute. At a = 0.01, can you support the hospital's claim that the standard deviation of the waiting times has decreased? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Let o represent the initial variance and os represent the variance for the new process. Choose the correct answer below. O A. Ho: of sož. Haio>o? O B. Ho: o? = 03. Hạ:of to? OC. Ho: o? Fo O B. FFo O D. -Fo

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A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital's minor emergency department had a variance of 0.36 minute. After a new admissions procedure was implemented, a random sample of 27
waiting times had a variance of 0.16 minute. At a = 0.01, can you support the hospital's claim that the standard deviation of the waiting times has decreased? Complete parts (a) through (e) below.
(a) Identify the claim and state H, and Ha. Let o, represent the initial variance and o, represent the variance for the new process. Choose the correct answer below.
O A. Ho:oiso3, H3: 07 >o?
O B. Ho: o = 03, Hgi o? #o?
OC. Ho: o <o3, Hg: 0f 23
O D. Ho: o3, Hạ: o} <o?
(b) Determine the critical value and the rejection region. What is the critical F-value?
Fo =
(Round to two decimal places as needed.)
What is the rejection region for this F-test?
A. F< -F, or F>Fo
B. F<Fo
C. F>Fo
D. - Fo <F<Fo
(c) Calculate the test statistic.
F =
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
No, fail to reject the null hypothesis.
Yes, reject the null hypothesis.
(e) Interpret the decision in the context of the claim. Can you support the hospital's claim?
Yes, there is enough evidence to support the claim.
No. there is not enough evidence to support the claim.
Clielk
Transcribed Image Text:A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital's minor emergency department had a variance of 0.36 minute. After a new admissions procedure was implemented, a random sample of 27 waiting times had a variance of 0.16 minute. At a = 0.01, can you support the hospital's claim that the standard deviation of the waiting times has decreased? Complete parts (a) through (e) below. (a) Identify the claim and state H, and Ha. Let o, represent the initial variance and o, represent the variance for the new process. Choose the correct answer below. O A. Ho:oiso3, H3: 07 >o? O B. Ho: o = 03, Hgi o? #o? OC. Ho: o <o3, Hg: 0f 23 O D. Ho: o3, Hạ: o} <o? (b) Determine the critical value and the rejection region. What is the critical F-value? Fo = (Round to two decimal places as needed.) What is the rejection region for this F-test? A. F< -F, or F>Fo B. F<Fo C. F>Fo D. - Fo <F<Fo (c) Calculate the test statistic. F = (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. No, fail to reject the null hypothesis. Yes, reject the null hypothesis. (e) Interpret the decision in the context of the claim. Can you support the hospital's claim? Yes, there is enough evidence to support the claim. No. there is not enough evidence to support the claim. Clielk
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