13. Help please

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 78 58 100 62 87 71 88 83 83 55 82 74 102 61 Past 88 89 93 94 66 86 86 92 88 91 91 91 . . . . . Let uy be the recent times and let uz be the past times. What are the null and alternative hypotheses? A. HO H1

H2 O C. Ho: My = H2 OD. HO: My # H2 Hy: My # H2 H1: 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. Yes, the conclusion is affected by the significance level because He is rejected when the significance level is 0. 10 but is not rejected when the significance