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 0.012 Recent 78 91 89 79 58 101 62 88 70 89 81 82 57 80 73 102 60 5 Past 88 88 93 94 63 86 86 92 86 91 89 91 Let u, be the recent times and let p, be the past times. What are the null and alternative hypotheses? O A. H, H=H H. >2 O B. H, H, < O C. Ho H=H2 H, H2 OD. H, Ht2 Calculate the test statistic. 1= (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 7 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? 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. O B. 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 O C. 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 D. 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.