### Analysis of Riding Times in a Triathlon#### ScenarioA statistics instructor participates in triathlons and has recorded times while riding a bicycle over five laps through each mile of a 3-mile loop. The study aims to test if it takes the same time to ride each mile using a 0.05 significance level to determine if one of the miles includes a hill.#### Data Table: Riding Times (minutes and seconds)- **Mile 1:** 3:15, 3:23, 3:24, 3:22, 3:20- **Mile 2:** 3:19, 3:22, 3:21, 3:16, 3:18- **Mile 3:** 3:33, 3:30, 3:28, 3:30, 3:28(Note: To analyze this data with statistical software, convert each time into seconds.)#### Hypotheses- **Null Hypothesis (H₀):** The time to ride each mile is the same.- **Alternative Hypothesis (H₁):** The time to ride each mile is not the same, suggesting one mile may have a hill.

Given that: Mile 1 Mile 2 Mile 3 195 199 213 203 202 210 204 201 208 202 196 210 200…

Answered: A certain statistics instructor…

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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Please answer all the questions in literal b
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A study was conducted to examine the impact of speaking in public on college students. A class of 15 statistics students participated in the study. At the beginning of a lecture the students recorded their systolic blood pressure. During the lecture the instructor called on each student to stand and answer questions about topics in the lecture. After speaking the students once again recorded their blood pressure. The resulting values are given below along with summary statistics. before 100 123 128 125 136 108 130 113 105 136 146 138 108 149 132 after 141 142 146 136 144 111 132 114 103 133 140 130 100 133 113 difference -41 -19 -18 -11 -8 -3 -2 -1 2 3 6 8 8 16 19 before after difference mean 125.1 127.9 -2.733 st dev 15.26 15.45 15.23 Does this information indicate that blood pressure increased because of speaking? Conduct an appropriate hypothesis test and show appropriate steps. Let μ1 mean systolic blood pressure before speaking in public, and μ2 mean…
Please answers questions a through d. Thank you!
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A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? LOADING... Click the icon to view the data table of the riding times. Question content area bottom Part 1 Determine the null and alternative hypotheses. H0: ▼ mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 Exactly two of the population means are different from each other.Exactly two of the population means are different from each other. At least one of the three population means is different from the others.At least one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1: ▼ mu 1 greater than mu 2…
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