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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

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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 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 92 89 79 58 99 61 87 70 87 81 82 56 80 75 102 60 Past 90 89 93 94 65 85 86 92 87 91 91 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 Hy: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. Ho 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? O A. No, the conclusion is not affected by the significance level because He 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 Ho 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 He 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 He is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10

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