seconds. Does it appear that students are reasonably good at estimating one minute? 80 88 48 75 52 32 66 74 73 54 72 78 104 95 76 O uming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. Hg: 60 seoonds H:60 seconds OB. Ho: = 60 seconds %31 H p> 60 seconds c. Ho p60 seconde Hy: p 60 seconds OD. Ho:60 seconds H u< 60 seconds termine the test statistic (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Estimating Time Without a Clock: A Statistical Analysis

#### Overview
A group of students estimated the length of one minute without referring to a watch or clock. The times (in seconds) they recorded are as follows:  
80, 68, 48, 75, 52, 32, 66, 74, 73, 54, 72, 78, 104, 95, 76.

The objective is to determine if these estimates are reasonably accurate by testing the hypothesis that the estimates are from a population with a mean of 60 seconds. A significance level of 0.01 is used for this test.

#### Hypothesis Testing
Assuming all conditions for conducting a hypothesis test are met, determine the null and alternative hypotheses:

- **Option A:**  
  \( H_0: \mu = 60 \, \text{seconds} \)  
  \( H_1: \mu \ne 60 \, \text{seconds} \)

- **Option B:**  
  \( H_0: \mu = 60 \, \text{seconds} \)  
  \( H_1: \mu > 60 \, \text{seconds} \)

- **Option C (correct):**  
  \( H_0: \mu = 60 \, \text{seconds} \)  
  \( H_1: \mu \ne 60 \, \text{seconds} \)

- **Option D:**  
  \( H_0: \mu = 60 \, \text{seconds} \)  
  \( H_1: \mu < 60 \, \text{seconds} \)

#### Statistical Analysis
Using the selected hypothesis from Option C:

1. **Determine the Test Statistic:**  
   - Perform statistical calculations to derive the test statistic (round to two decimal places as needed). 

This analysis will help infer whether students, on average, can accurately estimate one minute.
Transcribed Image Text:### Estimating Time Without a Clock: A Statistical Analysis #### Overview A group of students estimated the length of one minute without referring to a watch or clock. The times (in seconds) they recorded are as follows: 80, 68, 48, 75, 52, 32, 66, 74, 73, 54, 72, 78, 104, 95, 76. The objective is to determine if these estimates are reasonably accurate by testing the hypothesis that the estimates are from a population with a mean of 60 seconds. A significance level of 0.01 is used for this test. #### Hypothesis Testing Assuming all conditions for conducting a hypothesis test are met, determine the null and alternative hypotheses: - **Option A:** \( H_0: \mu = 60 \, \text{seconds} \) \( H_1: \mu \ne 60 \, \text{seconds} \) - **Option B:** \( H_0: \mu = 60 \, \text{seconds} \) \( H_1: \mu > 60 \, \text{seconds} \) - **Option C (correct):** \( H_0: \mu = 60 \, \text{seconds} \) \( H_1: \mu \ne 60 \, \text{seconds} \) - **Option D:** \( H_0: \mu = 60 \, \text{seconds} \) \( H_1: \mu < 60 \, \text{seconds} \) #### Statistical Analysis Using the selected hypothesis from Option C: 1. **Determine the Test Statistic:** - Perform statistical calculations to derive the test statistic (round to two decimal places as needed). This analysis will help infer whether students, on average, can accurately estimate one minute.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman