Question

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 sign ficance level to test the claim that these imes are from a population with a mean equal to 0 seconds. Does it appear that students are reasonably good at estimating one minute? 70 81 37 67 39 21 58 65 67 46 66 68 93 90 5 What are the null and altemative hypotheses? A. Ho: μ#80 seconds Ha : μ = 60 seconds C. Ho: μ-60 seconds H1 : 50 seconds Determine the test statistic. B. Ho : μ-60 seconds H1: H 60 seconds ) D. Ho : μ = 60 seconds H1: H> 60 seconds (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. H 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.

Answer 1

Ans:

Test statistic:

t=(62.2-60)/(19.633/SQRT(15))

t=0.43

df=15-1=14

p-value(2 tailed)=tdist(0.43,14,2)=0.674

(if exact t value is used then p-value=0.671)

Fail to reject H0.There is not enough evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is not correct.It means that as a group,the students are reasonably good at estimating one minute.