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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.)

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
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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### 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.
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