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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 77 91 89 78 57 101 62 87 70 89 82 82 55 81 73 102 61 D Past 88 89 93 94 64 85 86 92 88 91 89 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 H,: H, > H2 O B. Ho: H1

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 77 91 89 78 57 101 62 87 70 89 82 82 55 81 73 102 61 D Past 88 89 93 94 64 85 86 92 88 91 89 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 H,: H, > H2 O B. Ho: H1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Calculate the test statistic. t= - 2.04 (Round to two decimal places as needed.) Find the P-value. P-value = 0.051 (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. Reject H, because the P-value is less than or equal to the significance level. There is 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. CB. 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 C. 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. D. 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:Calculate the test statistic. t= - 2.04 (Round to two decimal places as needed.) Find the P-value. P-value = 0.051 (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. Reject H, because the P-value is less than or equal to the significance level. There is 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. CB. 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 C. 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. D. 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.
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 77 91 89 78 57 101 62 87 70 89 82 82 55 81 73 102 61 D Past 88 89 93 94 64 85 86 92 88 91 89 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O B. H, H1 <H2 O A. Ho: H, = H2 H, H, > H2 O C. H, H, # H2 H, H = H2 O D. H, H, = H2 H, H, # H2 t: 0
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 77 91 89 78 57 101 62 87 70 89 82 82 55 81 73 102 61 D Past 88 89 93 94 64 85 86 92 88 91 89 91 Let u, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O B. H, H1 <H2 O A. Ho: H, = H2 H, H, > H2 O C. H, H, # H2 H, H = H2 O D. H, H, = H2 H, H, # H2 t: 0
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