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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 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 signit 0.10 or 0.01? Recent 78 92 88 78 57 100 62 88 69 89 82 83 56 81 74 102 60 D Past 89 88 93 94 65 85 86 92 88 91 88 91 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.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10.

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 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 signit 0.10 or 0.01? Recent 78 92 88 78 57 100 62 88 69 89 82 83 56 81 74 102 60 D Past 89 88 93 94 65 85 86 92 88 91 88 91 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.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The first box options are "greater than" or "less than or equal to". Second box is "reject" or "fail to reject" this is "is" or "is not

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, 92, 88, 78, 57, 100, 62, 88, 89, 63, 86, 81, 74, 102, 60 Past: 89, 88, 83, 94, 65, 89, 65, 81, 92, 81 H₀: μ₁ = μ₂ H₁: μ₁ ≠ μ₂ 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.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. ⬜ H₀ because the P-value is ⬜ the significance level. There ⬜ sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or 0.01? A. No, the conclusion is not affected by the significance level because H₀ is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. B. Yes, the conclusion is affected by the significance level because H₀ is rejected when the significance level is 0.01 but not rejected when the significance level is 0.10. C. Yes, the conclusion is affected by the significance level because H₀ is rejected when the significance level is 0.10 but not rejected when the significance level is 0.01. D. No, the conclusion is not affected by the significance level because H₀ is 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, 92, 88, 78, 57, 100, 62, 88, 89, 63, 86, 81, 74, 102, 60 Past: 89, 88, 83, 94, 65, 89, 65, 81, 92, 81 H₀: μ₁ = μ₂ H₁: μ₁ ≠ μ₂ 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.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. ⬜ H₀ because the P-value is ⬜ the significance level. There ⬜ sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or 0.01? A. No, the conclusion is not affected by the significance level because H₀ is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. B. Yes, the conclusion is affected by the significance level because H₀ is rejected when the significance level is 0.01 but not rejected when the significance level is 0.10. C. Yes, the conclusion is affected by the significance level because H₀ is rejected when the significance level is 0.10 but not rejected when the significance level is 0.01. D. No, the conclusion is not affected by the significance level because H₀ is rejected regardless of whether a significance level of 0.10 or 0.01 is used.
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 82 68 78 57 100 62 82 88 89 83 65 81 74 102 60 Past: 89 89 94 85 86 85 88 91 Let μ₁ be the recent times and let μ₂ be the past times. What are the null and alternative hypotheses? A. \[ H_0: \mu_1 = \mu_2 \] \[ H_1: \mu_1 \neq \mu_2 \] B. \[ H_0: \mu_1 \leq \mu_2 \] \[ H_1: \mu_1 > \mu_2 \] C. \[ H_0: \mu_1 \geq \mu_2 \] \[ H_1: \mu_1 < \mu_2 \] D. \[ H_0: \mu_1 \neq \mu_2 \] \[ H_1: \mu_1 = \mu_2 \] 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.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. \[ \text{Reject } H_0 \] because the P-value is less than 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?
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: 79 82 68 78 57 100 62 82 88 89 83 65 81 74 102 60 Past: 89 89 94 85 86 85 88 91 Let μ₁ be the recent times and let μ₂ be the past times. What are the null and alternative hypotheses? A. \[ H_0: \mu_1 = \mu_2 \] \[ H_1: \mu_1 \neq \mu_2 \] B. \[ H_0: \mu_1 \leq \mu_2 \] \[ H_1: \mu_1 > \mu_2 \] C. \[ H_0: \mu_1 \geq \mu_2 \] \[ H_1: \mu_1 < \mu_2 \] D. \[ H_0: \mu_1 \neq \mu_2 \] \[ H_1: \mu_1 = \mu_2 \] 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.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. \[ \text{Reject } H_0 \] because the P-value is less than 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?
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