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 distribuled 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 whnether the significance level is 0.10 or 0.01? Recent 79 90 88 78 58 101 62 88 69 89 83 83 55 81 75 101 62 - Past 90 88 93 94 63 85 86 92 88 91 91 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O A. Ho HFH OB. Ho H

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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 normalty distributed papulations 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 90 88 78 58 101 62 88 69 89 83 83 55 81 75 101 62
Past
90 88 93 94 63 85 86 92 88 91 91 91
Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses?
O B. Ho 4 <2
O A. Ho Hi #H2
Hii H1 =H2
O D. Ho 4= H2
O C. Ho Hi = H2
Hi Hy>Hz
Calculate the test statistic.
(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.
sufficient evidence that the mean time interval has changed.
the significance level. There
Ho because the P-value is
Is the conclusion affected by whether the significance level is 0.10 or 0.01?
O A. 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.
B. 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 001
O C. 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.
D. 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
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 normalty distributed papulations 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 90 88 78 58 101 62 88 69 89 83 83 55 81 75 101 62 Past 90 88 93 94 63 85 86 92 88 91 91 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O B. Ho 4 <2 O A. Ho Hi #H2 Hii H1 =H2 O D. Ho 4= H2 O C. Ho Hi = H2 Hi Hy>Hz Calculate the test statistic. (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. sufficient evidence that the mean time interval has changed. the significance level. There Ho because the P-value is Is the conclusion affected by whether the significance level is 0.10 or 0.01? O A. 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. B. 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 001 O C. 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. D. 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
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