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 egual. 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 88 78 56 99 62 86 70 88 83 82 55 80 74 102 61 D Past 88 87 93 94 63 86 84 92 87 91 90 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O A. H, H, H2 O B. Ho H,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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
78 91 88 78 56 99 62 86 70 88 83 82 55 80 74 102 61 D
Past
88 87 93 94 63 86 84 92 87 91 90 91
Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses?
O A. Ho H, H2
O B. Ho H, <H2
O C. Ho H = H2
O D. H, H, =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.)
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 conclusion affected by whether the significance level is 0.10 or 0.01? Recent 78 91 88 78 56 99 62 86 70 88 83 82 55 80 74 102 61 D Past 88 87 93 94 63 86 84 92 87 91 90 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O A. Ho H, H2 O B. Ho H, <H2 O C. Ho H = H2 O D. H, H, =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.)
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 88 78 56 99 62 86 70 88 83 82 55 80 74 102 61
Past
88 87 93 94 63 86 84 92 87 91 90 91
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
V the significance level. There
V 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 H, is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10.
O B. 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.
O C. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used.
O D. 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
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 conclusion affected by whether the significance level is 0.10 or 0.01? Recent 78 91 88 78 56 99 62 86 70 88 83 82 55 80 74 102 61 Past 88 87 93 94 63 86 84 92 87 91 90 91 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 V the significance level. There V 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 H, is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. O B. 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. O C. No, the conclusion is not affected by the significance level because H, is rejected regardless of whether a significance level of 0.10 or 0.01 is used. O D. 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
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