6. Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the pa
Posted: Wed May 11, 2022 7:53 am
6. 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? 0 Recent Past 78 91 90 79 58 99 63 88 70 89 82 82 57 82 73 101 60 88 87 93 94 65 86 84 92 88 91 90 91 Let Hy be the recent times and let uz be the past times. What are the null and alternative hypotheses? O A. Ho H1 H2 H:H7H2 O c. Ho: H+H2 H:=H2 ОВ. Но на <H2 H:H, = H2 OD. Ho: H = H2 HHH2 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. (1). He because the P-value is (2) the significance level. There (3) 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. OB. 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 C. 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. OD. 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 level is 0.01. (1) (2) (3) O Reject O Fail to reject O greater than o less than or equal to O O is O is not