Meghan is a psychology major who is testing a maze for a group of mice to navigate. In order for it to be productive for a class project, she would like the average time for a mouse to complete the maze to be 90 seconds. She randomly selects 28 mice and has each mouse complete the maze. Meghan records the time, in seconds, that each mouse needed to complete the maze. The results are provided in the accompanying data table. Based on research and previous results, Meghan assumes that the population is normally distributed and the population standard deviation is 5.80 seconds. Use Excel to test whether the mean amount of time a mouse completes the maze is 90 seconds, and then draw a conclusion in the context of the problem, where α=0.10. Time (seconds)   85.71 93.16 87.00 89.71 94.26 92.05 86.16 82.16 94.76   HelpCopy to ClipboardDownload CSV Select the correct answer below: Fail to reject the null hypothesis. There is sufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is greater than 90 seconds. Fail to reject the null hypothesis. There is insufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is not equal to 90 seconds. Reject the null hypothesis. There is sufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is not equal to 90 seconds. Reject the null hypothesis. There is insufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is greater than 90 seconds.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3AEXP
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Meghan is a psychology major who is testing a maze for a group of mice to navigate. In order for it to be productive for a class project, she would like the average time for a mouse to complete the maze to be 90 seconds. She randomly selects 28 mice and has each mouse complete the maze. Meghan records the time, in seconds, that each mouse needed to complete the maze. The results are provided in the accompanying data table. Based on research and previous results, Meghan assumes that the population is normally distributed and the population standard deviation is 5.80 seconds.

Use Excel to test whether the mean amount of time a mouse completes the maze is 90 seconds, and then draw a conclusion in the context of the problem, where α=0.10.

Time (seconds)
 
85.71
93.16
87.00
89.71
94.26
92.05
86.16
82.16
94.76
 
HelpCopy to ClipboardDownload CSV

Select the correct answer below:

Fail to reject the null hypothesis. There is sufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is greater than 90 seconds.

Fail to reject the null hypothesis. There is insufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is not equal to 90 seconds.

Reject the null hypothesis. There is sufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is not equal to 90 seconds.

Reject the null hypothesis. There is insufficient evidence at the α=0.10 level of significance to conclude that the mean amount of time a mouse completes the maze is greater than 90 seconds.

 
 
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