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...

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?

Let μ1 be the recent times and let μ2 be the past times. What are the null and alternative hypotheses?

Calculate the test statistic.

t=

Find the P-Value

P-Value=

Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10

Is the conclusion affected by whether the significance level is 0.10 or 0.01?