**Investigation of Time Estimation Accuracy among Students**A group of students was tasked with estimating the length of one minute without using a watch or clock. The times in seconds recorded by the students are as follows:80, 88, 48, 75, 52, 36, 66, 74, 73, 54, 72, 78, 104, 95, 76The purpose of this study is to determine whether students can accurately estimate one minute. A significance level of 0.01 is utilized to test whether these times are from a population with a mean equal to 60 seconds.**Hypothesis Testing**To conduct the hypothesis test, it is crucial to establish the null and alternative hypotheses. The options are:- **Option A**: - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ ≠ 60 seconds- **Option B**: - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ > 60 seconds- **Option C**: [Correct Choice] - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ ≠ 60 seconds- **Option D**: - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ < 60 seconds**Statistical Calculations**- **Test Statistic**: 2.31 (Rounded to two decimal places)- **Determine the P-Value**: - (Round to three decimal places as needed)> This setup allows for the determination of statistical significance regarding the accuracy of the students' time estimation.

Given data: Significance level = 0.01 Sample size = 15 To calculate: P value

Answered: A group of students estimated the…

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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2. Brand of Smartphone Male A 43 34 48 A. What is the value for the degrees of freedom? B. If the expected number of males with smartphone brand B is 32.5, what is the chi-square component? c. If the test statistic (chi-square) = 6.40, then the p-value = D. If the significance level was 0.05, should the researcher reject or fail to reject the null?
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According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.
Students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Assume that a simple random sample has been selected. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 69 65 81 49 41 64 65 70 41 96 21 91 60 65 62 Perform the test assuming that the requirements are met. Identify the null and alternative hypotheses. Identify the significance level for this test? P-value? If the P-value is less than or equal to the significance level, reject the null hypothesis Ho. Otherwise, fail to reject Ho. State a final conclusion that addresses the original claim. Based on the results, decide whether it appears that students are reasonably good at estimating one minute.
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
Students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 68 79 38 64 42 22 61 65 65 50 65 72 97 89 63 Identify the test statistic. enter your response here (Round to two decimal places as needed.) Identify the P-value. enter your response here (Round to three decimal places as needed.)
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 78 92 51 72 52 36 66 70 72 56 70 79 104 95 77 O A. Ho: H= 60 seconds O B. Ho: u= 60 seconds H1: µ> 60 seconds H1: µ< 60 seconds O C. Ho: H+ 60 seconds O D. Ho: µ = 60 seconds H1: µ= 60 seconds H1: µ+60 seconds Determine the test statistic (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Họ. There is evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds correct. It that, as a group, the students are reasonably good at estimating one minute. does not appear Click to select your answer(s).…
A pair of dice is rolled 210 times. What is the probability that a total of 7 occurs (a) at least 24 times? (b) between 38 and 48 times inclusive? (c) exactly 35 times? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 75 88 48 77 50 33 69 72 78 59 73 82 100 101 75 D S Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: μ= 60 seconds OB. Ho: 60 seconds H₁ μ 60 seconds H₁: #60 seconds Determine the test statistic. lete (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 79 90 47 76 48 30 71 73 73 58 70 79 103 99
When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds and the standard deviation was 4.9 pounds. Use a 0.01 significance level to test the claim that the mean weight loss is greater than zero. D. Calculate the P-value E. State your decision about the hypotheses F Write a final, concluding statement that addresses the claim: There is _______________ Evidence to _________________ the claim that the mean weight loss is greater than 0 punds.

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