Randomly selected statistics students participated in an experiment to test their ability to determine when 1 minute (or 60 seconds) has passed. 46 students yielded a sample mean of 57 seconds. Assume that $\sigma$ = 8.7 seconds. a) Use a 0.05 significance level to test the claim that the population mean is equal to 60 seconds. Claim: ---Select--- 60 $H_0$: ---Select--- 60 $H_1$:---Select--- 60 b) What is the rejection result? $\circ$ Do not reject the null hypothesis. $\circ$ Reject the null hypothesis. $\circ$ Not enough information. c) What is the conclusion? $\circ$ There is not significant evidence that the perception of 1 minute differs from 60 seconds. The perception of elapsed time appears accurate. $\circ$ There is significant evidence that the perception of 1 minute differs from 60 seconds. The perception of elapsed time does not appear accurate. $\circ$ There is not significant evidence that the perception of 1 minute differs from 60 seconds. The perception of elapsed time does not appear accurate. $\circ$ There is significant evidence that the perception of 1 minute differs from 60 seconds. The perception of elapsed time appears accurate.
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The null hypothesis (H0) is that the population mean is equal to 60 seconds. The alternative hypothesis (H1) is that the population mean is not equal to 60 seconds. Show more…
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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? 70 80 40 66 42 21 59 63 66 49 64 70 93 63 Perform the test Identify the null and alternative hypotheses Identify the test statistic Identify the P-value State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Decide whether it appears that students are reasonably good at estimating one minute.
Ana Carolina D.
1. A data set includes data from student evaluations of courses. The summary statistics are n=85, x=3.91, s=0.67. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? 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. (Fail to reject/Reject) H0. There is (sufficient/not sufficient) evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.00 (is not/is) correct. 2. 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? 80 93 48 73 53 36 68 69 72 57 75 80 100 96 75 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? 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. (Reject/Fail to reject) H0. There is (not sufficient/sufficient) evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds (is not/is) correct. It (does not appear/appears) that, as a group, the students are reasonably good at estimating one minute.
Keondre P.
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? 69 83 37 66 40 25 58 60 69 47 66 68 92 87 68 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ≠60 seconds H1: μ=60 seconds B. H0: μ=60 seconds H1: μ>60 seconds C. H0: μ=60 seconds H1: μ≠60 seconds D. H0: 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. .......(Reject, or fail of reject) H0. There is .....(not sufficient, or sufficient) evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds ......(is, or is not) correct. It .......(appears, or does not appears) that, as a group, the students are reasonably good at estimating one minute.
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