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 78 91 89 80 58 100 63 86 70 89 81 82 56 81 74 102 61 Past 88 89 93 94 66 85 86 92 88 91 88 91 Let u, be the recent times and let u2 be the past times. What are the null and alternative hypotheses? O A. Ho: 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. 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?

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O A. 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.
O 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 0.01.
O C. 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.
O D. 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.
Transcribed Image Text:O A. 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. O 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 0.01. O C. 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. O D. 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.
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
78 91 89 80 58 100 63 86 70 89 81 82 56 81 74 102 61
Past
88 89 93 94 66 85 86 92 88 91 88 91
Let
be the recent times and let u, be the past times. What are the null and alternative hypotheses?
O A. Ho: H1<H2
H;: H1 = H2
B. Ho: H1 = H2
H: 41# H2
O C. Ho: H1# H2
H;: H1 = H2
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.
H, because the P-value is
the significance level. There
sufficient evidence that the mean time interval has changed.
Is the conclusion affected by whether the significance level is 0.10 or 0.01?
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 78 91 89 80 58 100 63 86 70 89 81 82 56 81 74 102 61 Past 88 89 93 94 66 85 86 92 88 91 88 91 Let be the recent times and let u, be the past times. What are the null and alternative hypotheses? O A. Ho: H1<H2 H;: H1 = H2 B. Ho: H1 = H2 H: 41# H2 O C. Ho: H1# H2 H;: H1 = H2 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. H, because the P-value is the significance level. There sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or 0.01?
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