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 79 90 89 79 58 101 62 88 69 88 83 84 56 82 74 101 62   Past 90 89 93 94 64 84 84 92 86 91 91 91   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?

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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
79
90
89
79
58
101
62
88
69
88
83
84
56
82
74
101
62
 
Past
90
89
93
94
64
84
84
92
86
91
91
91
 

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?

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