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sted 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 arou dependent 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 the conclusion affected by whether the significance level is 0.10 or 0.01? 20 yeals ago, Recent Past 79 91 88 79 56 99 63 86 69 88 82 82 57 80 73 102 60 D 90 89 93 94 66 84 84 92 87 91 89 91 et p, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O B. H, H = P2 DA. H, Hi # Hz H, H=H2 DC. Ho H

sted 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 arou dependent 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 the conclusion affected by whether the significance level is 0.10 or 0.01? 20 yeals ago, Recent Past 79 91 88 79 56 99 63 86 69 88 82 82 57 80 73 102 60 D 90 89 93 94 66 84 84 92 87 91 89 91 et p, be the recent times and let u, be the past times. What are the null and alternative hypotheses? O B. H, H = P2 DA. H, Hi # Hz H, H=H2 DC. Ho H

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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**Overview:** This image presents a statistical analysis of time intervals (in minutes) between eruptions of a geyser. It compares the "recent" times (from the past few years) to "past" times (from around 20 years ago). The goal is to determine if the mean time interval has changed, using independent simple random samples from normally distributed populations. **Data:** - **Recent times:** 79, 91, 88, 79, 56, 99, 63, 86, 69, 88, 82, 57, 80, 73, 102, 60 - **Past times:** 90, 89, 93, 94, 96, 84, 84, 84, 92, 87, 91 **Statistical Hypotheses:** - Let \( \mu_1 \) be the mean of recent times and \( \mu_2 \) be the mean of past times. - Choices for null (\( H_0 \)) and alternative (\( H_1 \)) hypotheses: - **A.** \( H_0: \mu_1 \neq \mu_2 \), \( H_1: \mu_1 = \mu_2 \) - **B.** \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \) - **C.** \( H_0: \mu_1 < \mu_2 \), \( H_1: \mu_1 = \mu_2 \) - **D.** \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 \neq \mu_2 \) **Statistical Analysis:** 1. **Calculate the test statistic:** - \( t = \) (Round to two decimal places as needed) 2. **Find the P-value:** - P-value = (Round to three decimal places as needed) **Conclusion:** - Make a conclusion about the null hypothesis using a significance level of 0.10. - \( H_0 \) because the P-value is (less than, greater than) the significance level. - There is (sufficient, insufficient) evidence that the mean
Transcribed Image Text:**Overview:** This image presents a statistical analysis of time intervals (in minutes) between eruptions of a geyser. It compares the "recent" times (from the past few years) to "past" times (from around 20 years ago). The goal is to determine if the mean time interval has changed, using independent simple random samples from normally distributed populations. **Data:** - **Recent times:** 79, 91, 88, 79, 56, 99, 63, 86, 69, 88, 82, 57, 80, 73, 102, 60 - **Past times:** 90, 89, 93, 94, 96, 84, 84, 84, 92, 87, 91 **Statistical Hypotheses:** - Let \( \mu_1 \) be the mean of recent times and \( \mu_2 \) be the mean of past times. - Choices for null (\( H_0 \)) and alternative (\( H_1 \)) hypotheses: - **A.** \( H_0: \mu_1 \neq \mu_2 \), \( H_1: \mu_1 = \mu_2 \) - **B.** \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \) - **C.** \( H_0: \mu_1 < \mu_2 \), \( H_1: \mu_1 = \mu_2 \) - **D.** \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 \neq \mu_2 \) **Statistical Analysis:** 1. **Calculate the test statistic:** - \( t = \) (Round to two decimal places as needed) 2. **Find the P-value:** - P-value = (Round to three decimal places as needed) **Conclusion:** - Make a conclusion about the null hypothesis using a significance level of 0.10. - \( H_0 \) because the P-value is (less than, greater than) the significance level. - There is (sufficient, insufficient) evidence that the mean
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