Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not as that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent 79 92 88 79 57 100 61 87 69 87 82 83 56 82 74 102 61 O Past 89 88 93 94 64 84 84 92 87 91 89 91 Let , be the recent times and let uz be the past times. What are the null and alternative hypotheses? O A. Ho H2 OB. Ho Pz OC. H "Pa OD. H "Pa Calculate the test statistic. (Round to two decimal places needed.) Find the P-value. Pvalue (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. Ho because the P-value is v the significance level. There v sufficient evidence that the mean time interval has changed. is the conclusion affected by whether the significance level is 0.10 or 0.017 O A. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used. OB. No, the conclusion is not affected by the significance level because H, is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. OC. Yes, the conclusion is affected by the significance level because H, is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. OD. Yes, the conclusion is affected by the significance level because H, is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10.

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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Question

6

Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume
that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01?
Recent
79 92 88 79 57 100 61 87 69 87 82 83 56 82 74 102 61
Past
89 88 93 94 64 84 84 92 87 91 89 91
Let u, be the recent times and let µ, be the past times. What are the null and alternative hypotheses?
A. Ho: H1 # H2
H;: H1 = H2
B. Ho: H1<H2
H;: H1 = H2
O C. Ho: H1 = H2
H;: H1> H2
O D. Ho: H1= H2
H;: H1 # H2
Calculate the test statistic.
t=
(Round to two decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10.
V H, because the P-value is
v the significance level. There
v) sufficient evidence that the mean time interval has changed.
Is the conclusion affected by whether the significance level is 0.10 or 0.01?
A. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used.
B. No, the conclusion is not affected by the significance level because Ho is not rejected regardless of whether a significance level of 0.10 or 0.01 is used.
C. Yes, the conclusion is affected by the significance level because Ho is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01.
D. Yes, the conclusion is affected by the significance level because Ho is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10.
Transcribed Image Text:Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent 79 92 88 79 57 100 61 87 69 87 82 83 56 82 74 102 61 Past 89 88 93 94 64 84 84 92 87 91 89 91 Let u, be the recent times and let µ, be the past times. What are the null and alternative hypotheses? A. Ho: H1 # H2 H;: H1 = H2 B. Ho: H1<H2 H;: H1 = H2 O C. Ho: H1 = H2 H;: H1> H2 O D. Ho: H1= H2 H;: H1 # H2 Calculate the test statistic. t= (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. V H, because the P-value is v the significance level. There v) sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or 0.01? A. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used. B. No, the conclusion is not affected by the significance level because Ho is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. C. Yes, the conclusion is affected by the significance level because Ho is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. D. Yes, the conclusion is affected by the significance level because Ho is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10.
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