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 condlusion affected by whether the significance level is 0.10 or 0.01? Recent 78 91 90 78 58 100 61 88 70 87 82 83 55 82 75 103 62 - Past 90 89 93 94 63 85 86 92 88 91 90 91 Let p, be the recent times and let u, be the past times. What are the null and alternative hypotheses? OB. H Hy * Hz H PP2 OC. H P

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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 condlusion affected by whether the significance level is 0.10 or 0.01?
Recent
78 91 90 78 58 100 61 88 70 87 82 83 55 82 75 103 62 -
Past
90 89 93 94 63 85 86 92 88 91 90 91
Let p, be the recent times and let u, be the past times. What are the null and alternative hypotheses?
OB. H Hy * Hz
H PP2
OC. H P<P
OD. H P"Pa
Calculate the test statistic.
= (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.
H, because the P-value is
- the significance level. There
Y sufficient evidence that the mean time interval has changed.
Click to select your answer(s).
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 not 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.
OC. No, the conclusion is not affected by the significance level because Hy is rejected regardless of whether a significance level of 0.10 or 0.01 is used.
OD. 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.
Transcribed Image Text: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 condlusion affected by whether the significance level is 0.10 or 0.01? Recent 78 91 90 78 58 100 61 88 70 87 82 83 55 82 75 103 62 - Past 90 89 93 94 63 85 86 92 88 91 90 91 Let p, be the recent times and let u, be the past times. What are the null and alternative hypotheses? OB. H Hy * Hz H PP2 OC. H P<P OD. H P"Pa Calculate the test statistic. = (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. H, because the P-value is - the significance level. There Y sufficient evidence that the mean time interval has changed. Click to select your answer(s). 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 not 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. OC. No, the conclusion is not affected by the significance level because Hy is rejected regardless of whether a significance level of 0.10 or 0.01 is used. OD. 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.
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